Zentralblatt MATH

Publications in Multiplicative Number Theory
Zbl 010.29402  •  Erdös, Paul; Szekeres, George , Über die Anzahl der Abelschen Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem. (On the number of abelian groups of given order and on a related number-theoretical problem.) ,
Acta Litt. Sci. Szeged 7, 95-102 (1934). [Reviewer: F.Bohnenblust (Princeton, N.J.)] , 11N45 20K01
Zbl 012.01004  •  Erdös, Paul , On the density of some sequences of numbers. ,
J. London Math. Soc. 10, 120-125 (1935). [Reviewer: Davenport (Cambridge)] , 11N60
Zbl 012.01102  •  Erdös, Paul , On the difference of consecutive primes. ,
Q. J. Math., Oxf. Ser. 6, 124-128 (1935). [Reviewer: Davenport (Cambridge)] , 11N05
Zbl 012.14905  •  Erdös, Paul , On the normal number of prime factors of p-1 and some related problems concerning Euler's \phi-function. ,
Q. J. Math., Oxf. Ser. 6, 205-213 (1935). [Reviewer: Davenport] , 11N25 11A25
Zbl 014.01104  •  Erdös, Paul , A generalization of a theorem of Besicovitch. ,
J. London Math. Soc. 11, 92-98 (1936). [Reviewer: Davenport (Cambridge)] , 11N25
Zbl 015.24603  •  Erdös, Paul , On a problem of Chowla and some related problems. ,
Proc. Camb. Philos. Soc. 32, 530-540 (1936). [Reviewer: Davenport] , 11N25
Zbl 016.01204  •  Erdös, Paul , On the density of some sequences of numbers. II. ,
J. London Math. Soc. 12, 7-11 (1937). [Reviewer: Davenport (Cambridge)] , 11N60
Zbl 017.10304  •  Erdös, Paul , On the sum and difference of squares of primes. II. ,
J. London Math. Soc. 12, 168-171 (1937). [Reviewer: Wright (Aberdeen)] , 11N05
Zbl 017.24602  •  Erdös, Paul , Note on the number of prime divisors of integers. ,
J. London Math. Soc. 12, 308-314 (1937). [Reviewer: Hans Heilbronn (Cambridge)] , 11N25 11N13
Zbl 018.29301  •  Erdös, Paul , On the density of some sequences of numbers. III. ,
J. London Math. Soc. 13, 119-127 (1938). [Reviewer: Davenport (Manchester)] , 11N60
Zbl 021.20702  •  Erdös, Paul; Kac, M. , On the Gaussian law of errors in the theory of additive functions. ,
Proc. Natl. Acad. Sci. USA 25, 206-207 (1939). [Reviewer: Rohrbach (Göttingen)] , 11N60
Zbl 022.00903  •  Erdös, Paul; Wintner, Aurel , Additive arithmetical functions and statistical independence. ,
Amer. J. Math. 61, 713-721 (1939). [Reviewer: E.R.van Kampen (Baltimore)] , 11N60 11K65
Zbl 022.01001  •  Erdös, Paul , On the smoothness of the asymptotic distribution of additive arithmetical functions. ,
Amer. J. Math. 61, 722-725 (1939). [Reviewer: v.Kampen (Baltimore.)] , 11N60 11K65
Zbl 023.29801  •  Erdös, Paul , The difference of consecutive primes. ,
Duke Math. J. 6, 438-441 (1940). [Reviewer: S.Ikehara (Osaka)] , 11N05
Zbl 030.29604  •  Erdös, Paul , On the integers having exactly k prime factors. ,
Ann. Math., Princeton, II. Ser. 49, 53-66 (1948). [Reviewer: Edmund Hlawka (Wien)] , 11N25 11B83
Zbl 032.26902  •  Erdös, Paul; Turán, Paul , On some new questions on the distribution of prime numbers. ,
Bull. Am. Math. Soc. 54, 371-378 (1948). [Reviewer: Hlawka (Wien)] , 11N05 11A41
Zbl 032.26903  •  Erdös, Paul , On the difference of consecutive primes. ,
Bull. Am. Math. Soc. 54, 885-889 (1948). [Reviewer: Hlawka] , 11N05
Zbl 033.16302  •  Erdös, Paul , Problems and results on the differences of consecutive primes. ,
Publ. Math., Debrecen 1, 33-37 (1949). [Reviewer: Hlawka] , 11N05 00A07
Zbl 034.02401  •  Erdös, Paul , On some applications of Brun's method. ,
Acta Univ. Szeged., Acta Sci. Math. 13, 57-63 (1949). [Reviewer: Ernst Witt.(Hamburg)] , 11N13
Zbl 034.31403  •  Erdös, Paul , On a new method in elementary number theory which leads to an elementary proof of the prime number theorem. ,
Proc. Natl. Acad. Sci. USA 35, 374-384 (1949). [Reviewer: Siegel] , 11N05
Zbl 034.31501  •  Erdös, Paul , On a Tauberian theorem connected with the new proof of the prime number theorem. ,
J. Indian Math. Soc., n. Ser. 13, 131-144 (1949). [Reviewer: Siegel] , 11N05 11M45
Zbl 034.31502  •  Erdös, Paul , Supplementary note. ,
J. Indian Math. Soc., n. Ser. 13, 145-147 (1949). [Reviewer: Siegel (Princeton)] , 11N05 11M45
Zbl 037.31105  •  Erdös, Paul , Some asymptotic formulas for multiplicative functions. ,
Bull. Am. Math. Soc. 53, 536-544 (1947). [Reviewer: A.Rényi] , 11N60
Zbl 038.18106  •  Selberg, Atle; Erdös, Paul; van der Corput, J.G. , Démonstration élementaire du théorème sur la distribution des nombres premiers. (Elementary proof of theorem about the distribution of prime numbers.) ,
Scriptum, Math. Centrum, Amsterdam 1948, No.1, 32 S. (1948). [Reviewer: A.Rényi (Budapest)] , 11N05
Zbl 038.18201  •  Erdös, Paul; Rényi, Alfréd , Some problems and results on consecutive primes. ,
Simon Stevin, Wis. Natuurk. Tijdschr. 27, 115-125 (1950). [Reviewer: Hlawka] , 11N05 11N36 00A07
Zbl 041.36807  •  Erdös, Paul , Some asymptotic formulas in number theory. ,
J. Indian Math. Soc., n. Ser. 12, 75-78 (1948). [Reviewer: P.T.Bateman] , 11N56
Zbl 044.03604  •  Erdös, Paul , Some problems and results in elementary number theory. ,
Publ. Math., Debrecen 2, 103-109 (1951). [Reviewer: Sigmund Selberg] , 11N25 00A07
Zbl 044.03903  •  Erdös, Paul; Shapiro, Harold N. , On the changes of sign of a certain error function. ,
Can. J. Math. 3, 375-385 (1951). [Reviewer: Hendrik Douwe Kloosterman] , 11N37
Zbl 046.04102  •  Erdös, Paul , On the greatest prime factor of prodxk = 1 f(k). ,
J. London Math. Soc. 27, 379-384 (1952). [Reviewer: H.-E.Richert] , 11N32
Zbl 046.04103  •  Erdös, Paul , On the sum sumxk = 1 d(f(k)). ,
J. London Math. Soc. 27, 7-15 (1952). [Reviewer: L.-K.Hua] , 11N37
Zbl 047.04602  •  Erdös, Paul; Mirsky, L. , The distribution of values of the divisor function d(n). ,
Proc. Lond. Math. Soc., III. Ser. 2, 257-271 (1952). [Reviewer: K.Prachar] , 11N64
Zbl 050.04302  •  Davenport, H.; Erdös, Paul , The distribution of quadratic and higher residues. ,
Publ. Math., Debrecen 2, 252-265 (1953). [Reviewer: H.D.Kloosterman] , 11N69 11A15
Zbl 051.27703  •  Erdös, Paul , Arithmetical properties of polynomials. ,
J. London Math. Soc. 28, 416-425 (1953). [Reviewer: H.D.Kloosterman] , 11N32
Zbl 061.06607  •  Erdös, Paul , On the least primitive root of a prime p. ,
Bull. Am. Math. Soc. 51, 131-132 (1945). [Reviewer: P.T.Bateman] , 11N69
Zbl 061.07901  •  Erdös, Paul , Some remarks about additive and multiplicative functions. ,
Bull. Am. Math. Soc. 52, 527-537 (1946). , 11N60
Zbl 061.07902  •  Erdös, Paul , On the distribution function of additive functions. ,
Ann. of Math., II. Ser. 47, 1-20 (1946). [Reviewer: P.T.Bateman] , 11N60
Zbl 061.07907  •  Erdös, Paul , On some asymptotic formulas in the theory of the 'factorisatio numerorum'. ,
Ann. of Math., II. Ser. 42, 989-993 (1941); corrctions ibid. 44, 647-651 (1943). , 11N37
Zbl 061.08005  •  Erdös, Paul , Some remarks on Euler's \phi-function and some related problems. ,
Bull. Am. Math. Soc. 51, 540-544 (1945). , 11N64 11A25
Zbl 067.27504  •  Erdös, Paul , Some problems on the distribution of prime numbers. ,
C.I.M.E., Teoria dei numeri, 8 p. (1955). [Reviewer: H.D.Kloosterman] , 11N05 00A07
Zbl 067.27601  •  Erdös, Paul; Shapiro, H.N. , The existence of a distribution function for an error term related to the Euler function. ,
Can. J. Math. 7, 63-75 (1955). [Reviewer: H.D.Kloosterman] , 11N60 11A25
Zbl 073.26701  •  Erdös, Paul , On additive arithmetical functions and applications of probability to number theory. ,
Proc. internat. Congr. Math. 1954 Amsterdam 3, 13-19 (1956). [Reviewer: L.K.Hua] , 11N60 11K64
Zbl 075.03104  •  Erdös, Paul , Remarks on two problems of the Matematikai Lapok. ,
Mat. Lapok 7, 10-17 (1956). [Reviewer: P.Szüsz] , 11N64 00A07
Zbl 079.06304  •  Erdös, Paul; Shapiro, Harold N. , On the least primitive root of a prime. ,
Pac. J. Math. 7, 861-865 (1957). [Reviewer: L.K.Hua] , 11N69 11A07
Zbl 081.04204  •  Erdös, Paul , Some remarks on Euler's \phi function. ,
Acta Arith. 4, 10-19 (1958). [Reviewer: B.Stolt] , 11N64 11A25
Zbl 081.04205  •  Erdös, Paul , On the distribution function of additive arithmetical functions and on some related problems. ,
Rend. Sem. Mat. Fis. Milano 27, 45-49 (1958). [Reviewer: L.K.Hua] , 11N60 11K64
Zbl 083.03702  •  Erdös, Paul , On an elementary problem in number theory. ,
Can. Math. Bull. 1, 5-8 (1958). [Reviewer: J.P.Tull] , 11N56
Zbl 085.03402  •  Erdös, Paul , Asymptotic formulas for some arithmetic functions. ,
Can. Math. Bull. 1, 149-153 (1958). [Reviewer: B.Volkmann] , 11N37
Zbl 092.04301  •  Erdös, Paul , Some remarks on prime factors of integers. ,
Can. J. Math. 11, 161-167 (1959). [Reviewer: B.Volkmann] , 11N25
Zbl 097.02805  •  Erdös, Paul , Über die kleinste quadratfreie Zahl einer arithmetischen Reihe. (On the smallest square-free number of an arithmetic sequence.) ,
Monatsh. Math. 64, 314-316 (1960). [Reviewer: K.Prachar] , 11N25
Zbl 099.03903  •  Erdös, Paul; Rény, Alfréd , A probabilistic approach to problems of diophantine approximation. ,
Ill. J. Math. 1, 303-315 (1957). [Reviewer: E.Hlawka] , 11N30 11K06
Zbl 100.27104  •  Erdös, Paul , On a problem of S.W.Golomb. ,
J. Aust. Math. Soc. 2, 1-8 (1961). [Reviewer: S.Selberg] , 11N56
Zbl 100.27201  •  Erdös, Paul , Remarks on two problems. ,
Mat. Lapok 11, 26-32 (1960). [Reviewer: I.S.Gál] , 11N64
Zbl 104.26804  •  Erdös, Paul , On an asymptotic inequality in number theory ,
Vestn. Leningr. Univ. 15, No.13 (Ser. Mat. Mekh. Astron. No.3), 41-49 (1960). [Reviewer: K.Prachar] , 11N25
Zbl 104.27202  •  Erdös, Paul; Schinzel, A. , Distributions of the values of some arithmetical functions ,
Acta Arith. 6, 473-485 (1961). [Reviewer: J.P.Tull] , 11N64
Zbl 107.26601  •  Erdös, Paul; Prachar, K. , Sätze und Probleme über pk/k. (Theorems and problems on pk/k.) ,
Abh. Math. Semin. Univ. Hamb. 25, 251-256 (1962). [Reviewer: S.Knapowski] , 11N05 00A07
Zbl 125.08602  •  Erdös, Paul , On some applications of probability to analysis and number theory ,
J. Lond. Math. Soc. 39, 692-696 (1964). [Reviewer: J.M.Gani] , 11N25 11K99 30B10
Zbl 131.04303  •  Erdös, Paul; Rényi, Alfréd , On the mean value of nonnegative multiplicative number-theoretical functions ,
Mich. Math. J. 12, 321-338 (1965). [Reviewer: W.Narkiewicz] , 11N37
Zbl 133.29905  •  Erdös, Paul , On the distribution of divisors of integers in the residue classes (mod d) ,
Bull. Soc. Math. Grece, N. Ser. 6, No.1, 27-36 (1965). [Reviewer: R.C.Entringer] , 11N69
Zbl 146.05305  •  Erdös, Paul; Lint, J.H.van , On the number of positive integers \leq x and free of prime factors < y ,
Simon Stevin 40, 73-76 (1966). [Reviewer: E.Grosswald] , 11N25
Zbl 147.30201  •  Erdös, Paul , Some remarks on number theory. II ,
Isr. J. Math. 5, 57-64 (1967). [Reviewer: E.Grosswald] , 11N64
Zbl 149.28802  •  Erdös, Paul , Asymptotische Untersuchungen über die Anzahl der Teiler von n. (Asymptotic investigations on the number of divisors of n.) ,
Math. Ann. 169, 230-238 (1967). [Reviewer: Wolfgang Schwarz] , 11N37
Zbl 149.28901  •  Erdös, Paul; Selfridge, J.L. , Some problems on the prime factors of consecutive integers ,
Ill. J. Math. 11, 428-430 (1967). [Reviewer: A.Schinzel] , 11N25
Zbl 151.03501  •  Erdös, Paul , On some properties of prime factors of integers ,
Nagoya Math. J. 27, 617-623 (1966). [Reviewer: S.Uchiyama] , 11N25
Zbl 154.29403  •  Erdös, Paul , Remarks on number theory. I ,
Mat. Lapok 12, 10-16, 161-168 (1961). , 11N69 11A25
Zbl 174.08104  •  Erdös, Paul , On the distribution of prime divisors ,
Aequationes Math. 2, 177-183 (1969). , 11N25 11N30
Zbl 186.35804  •  Erdös, Paul; Katai, I. , On the sum sum d4(n) ,
Acta Sci. Math. 30, 313-324 (1969). , 11N37
Zbl 188.34102  •  Erdös, Paul; Katai, I. , On the growth of dk(n) ,
Fibonacci Q. 7, 267-274 (1969). , 11N56
Zbl 189.31302  •  Erdös, Paul; Turán, Paul , On some problems of a statistical group-theory. II ,
Acta Math. Acad. Sci. Hung. 18, 151-163 (1967). [Reviewer: H.Heyer] , 11N99 20P05
Zbl 198.06703  •  Erdös, Paul , On the sum sumn = 1x d[d(n)] ,
Math. Stud. 36, 227-229 (1968). [Reviewer: E.Härtter] , 11N37
Zbl 207.35901  •  Erdös, Paul; Rényi, Alfréd , Some remarks on the large sieve of Yu. V. Linnik ,
Ann. Univ. Sci. Budapest. Rolando Eötvös, Sect. Math. 11, 3-13 (1968). [Reviewer: O.P.Stackelberg] , 11N35
Zbl 209.34303  •  Erdös, Paul , On the sum sumd | 2n-1 d-1 ,
Isr. J. Math. 9, 43-48 (1971). , 11N37
Zbl 214.30602  •  Erdös, Paul , Some extremal problems in combinatorial number theory ,
Math. Essays dedicated to A.J. Macintyre 123-133 (1970). , 11N25
Zbl 222.10053  •  Erdös, Paul; Guy, R.K. , Distinct distances between lattice points. ,
Elemente Math. 25, 121-123 (1970). [Reviewer: J.P.Tull] , 11N56
Zbl 227.10005  •  Erdös, Paul; Kátai, I. , Non complete sums of multiplicative functions. ,
Period. Math. Hung. 1, 209-212 (1971). [Reviewer: E.Härtter] , 11N56 11A25
Zbl 228.10028  •  Erdös, Paul; Selfridge, J.L. , Some problems on the prime factors of consecutive integers. II. ,
Proc. Washington State Univ. Conf. Number Theory 1971, 13-21 (1971). [Reviewer: K.Ramachandra] , 11N99 11N56
Zbl 228.10033  •  Erdös, Paul; Subbarao, M.V. , On the iterates of some arithmetic functions. ,
Theory arithmetic Functions, Proc. Conf. Western Michigan Univ. 1971, Lecture Notes Math. 251, 119-125 (1972). , 11N37 11A25
Zbl 235.10008  •  Erdös, Paul; Turán, P. , On some problems of a statistical group theory. VI. ,
J. Indian Math. Soc., n. Ser. 34 (1970), 175-192 (1971). , 11N60 00A07
Zbl 245.10032  •  Erdös, Paul , Some problems on consecutive prime numbers. ,
Mathematika, Lond. 19, 91-95 (1972). [Reviewer: R.G.Buschmann] , 11N13 11N35 11N05
Zbl 267.10054  •  Erdös, Paul; Selfridge, J.L. , Complete prime subsets of consecutive integers. ,
Proc. Manitoba Conf. numer. Math. 1971, 1-14 (1971). [Reviewer: K.-H.Indlekofer] , 11N05 11B99
Zbl 274.10043  •  Erdös, Paul; Hall, R.R. , On the distribution of values of certain divisor functions. ,
J. Number Theory 6, 52-63 (1974). , 11N37
Zbl 279.10034  •  Ecklund, E.F.; Erdös, Paul; Selfridge, J.L. , A new function associated with the prime factors of \binom{n}{k}. ,
Math. Comput. 28, 647-649 (1974). [Reviewer: K.-H.Indlekofer] , 11N05
Zbl 294.10029  •  Choi, S.L.G.; Erdös, Paul , On products of integers. ,
J. Number Theory 6, 416-421 (1974). , 11N05 11B83 11A05
Zbl 296.10021  •  Erdös, Paul; Shorey, T.N. , On the greatest prime factor of 2p-1 for a prime p and other expressions. ,
Acta Arith. 30, 257-265 (1976). , 11N05 11B99 11B39
Zbl 306.10025  •  Erdös, Paul; Nicolas, Jean-Louis , Repartition des nombres superabondants. ,
Bull. Soc. Math. France 103, 65-90 (1975). [Reviewer: H.Müller] , 11N05
Zbl 313.10045  •  Erdös, Paul , Remarks on some problems in number theory. ,
Math. Balk. 4, 197-202 (1974). [Reviewer: H.Jager] , 11N37 11A25 11-02 20D05 11H99 00A07
Zbl 321.10036  •  Erdös, Paul; Nicolas, Jean-Louis , Repartition des nombres superabondants. ,
Sémin. Delange-Pisot-Poitou, 15e année 1973/74, Théorie des Nombres, Fasc. 1, Exposé 5, 18 p. (1975). [Reviewer: H.Müller] , 11N05
Zbl 329.10036  •  Erdös, Paul; Hall, R.R. , Distinct values of Euler's \phi-function. ,
Mathematika, London 23, 1-3 (1976). [Reviewer: E.M.Horadam] , 11N37 11A25
Zbl 332.10028  •  Erdös, Paul; Stewart, C.L. , On the greatest and least prime factors of nÜ+1. ,
J. London Math. Soc., II. Ser. 13, 513-519 (1976). [Reviewer: K.Ramachandra] , 11N05 11N37 11A41 11D41
Zbl 346.10027  •  Cohen, S.D.; Erdös, Paul; Nathanson, M.B. , Prime polynomial sequences. ,
J. London Math. Soc., II. Ser. 14, 559-562 (1976). , 11N13 11B83
Zbl 353.10032  •  Erdös, Paul , Problems and results on consecutive integers. ,
Publ. Math., Debrecen 23, 272-282 (1976). [Reviewer: K.Ramachandra] , 11N05 11-02 11A41 11N37 00A07
Zbl 355.10034  •  Erdös, Paul; Richards, Ian , Density functions for prime and relatively prime numbers. ,
Monatsh. Math. 83, 99-112 (1977). [Reviewer: J.P.Tull] , 11N05 11N35
Zbl 359.10038  •  Alladi, K.; Erdös, Paul , On an additive arithmetic function. ,
Pac. J. Math. 71, 275-294 (1977). [Reviewer: B.Garrison] , 11N37 11K65
Zbl 368.10033  •  Erdös, Paul; Hall, R.R. , Proof of a conjecture about the distribution of divisors of integers in residue classes. ,
Math. Proc. Camb. Philos. Soc. 79, 281-287 (1976). [Reviewer: J.H.van Lint] , 11N13
Zbl 379.10027  •  Erdös, Paul; Pomerance, Carl , On the largest prime factors of n and n+1. ,
Aequationes Math. 17, 311-321 (1978). [Reviewer: K.Ramachandra] , 11N05 11N37 11A41
Zbl 393.10046  •  Erdös, Paul , Some unconventional problems in number theory. ,
Acta Math. Acad. Sci. Hung. 33, 71-80 (1979). [Reviewer: E.M.Horadam] , 11N37 11-02 11A25 00A07
Zbl 393.10047  •  Erdös, Paul; Hall, R.R. , On some unconventional problems on the divisors of integers. ,
J. Aust. Math. Soc., Ser. A 25, 479-485 (1978). [Reviewer: G.Kolesnik] , 11N37
Zbl 399.10042  •  Erdös, Paul; Penney, D.E.; Pomerance, Carl , On a class of relatively prime sequences. ,
J. Number Theory 10, 451-474 (1978). [Reviewer: R.Heath-Brown] , 11N05 11B83
Zbl 417.10039  •  Erdös, Paul; Katai, I. , On the growth of some additive functions on small intervals. ,
Acta Math. Acad. Sci. Hung. 33, 345-359 (1979). [Reviewer: L.Lucht] , 11N35 11N05 11N37
Zbl 419.10040  •  Erdös, Paul; Sárközy, András , On the prime factors of \binom{n}{k} and of consecutive integers. ,
Util. Math. 16, 197-215 (1979). [Reviewer: I.Anderson] , 11N05 11A41 05A10
Zbl 419.10042  •  Alladi, K.; Erdös, Paul , On the asymptotic behavior of large prime factors of integers. ,
Pac. J. Math. 82, 295-315 (1979). [Reviewer: K.Ramachandra] , 11N37 11N05
Zbl 421.10027  •  Erdös, Paul; Hall, R.R. , The propinquity of divisors. ,
Bull. Lond. Math. Soc. 11, 304-307 (1979). [Reviewer: E.J.Scourfield] , 11N05 11N37 11K65
Zbl 422.10035  •  Erdös, Paul; Nicolas, Jean-Louis , Sur la fonction ``nombre de facteurs premiers de n''. (On the function ``number of prime factors of n'') ,
Sémin. Delange-Pisot-Poitou, 20e Année 1978/79, Théorie des nombres, Fasc. 2, Exp. 32, 19 p. (1980). [Reviewer: A.Ivic] , 11N37 11N05
Zbl 426.10048  •  Erdös, Paul; Pomerance, Carl , Matching the natural numbers up to n with distinct multiples in another interval. ,
Indag. Math. 42, 147-161 (1980). [Reviewer: K.Ramachandra] , 11N37
Zbl 435.10025  •  Erdös, Paul; Straus, E.G. , Remarks on the differences between consecutive primes. ,
Elem. Math. 35, 115-118 (1980). [Reviewer: D.Heath-Brown] , 11N05 11N35
Zbl 435.10027  •  Erdös, Paul; Hall, R.R. , Values of the divisor function on short intervals. ,
J. Number Theory 12, 176-187 (1980). [Reviewer: H.Jager] , 11N37 11A25 11N35
Zbl 435.10028  •  Erdös, Paul; Ruzsa, I.Z. , On the small sieve. I. Sifting by primes. ,
J. Number Theory 12, 385-394 (1980). [Reviewer: K.Ramachandra] , 11N35 11N05
Zbl 437.10020  •  Erdös, Paul; Tenenbaum, G. , Sur la structure de la suite des diviseurs d'un entier.\paron the structure of the sequence of divisors of an integer. ,
Ann. Inst. Fourier 31, No.1, 17-37 (1981). , 11N05 11B83
Zbl 446.10033  •  Erdös, Paul; Nicolas, J.L. , Grandes valeurs d'une fonction liée au produit d'entiers consecutifs. (Large values on a function related to the product of consecutive integers.) ,
Publ. Math. Orsay 81.01, 30-34 (1981). [Reviewer: A.Ivic] , 11N37 11A25
Zbl 448.10040  •  Erdös, Paul; Sarközy, A. , On the number of prime factors of integers. ,
Acta Sci. Math. 42, 237-246 (1980). [Reviewer: K.Ramachandra] , 11N37
Zbl 449.10033  •  Diamond, Harold G.; Erdös, Paul , Multiplicative functions whose values are uniformly distributed in (0,oo). ,
Proc. Queen's Number Theory Conf. 1979, Queen's Pap. Pure Appl. Math. 54, 329-378 (1980). [Reviewer: D.Leitmann] , 11N37 11A25 11K65
Zbl 455.10031  •  Erdös, Paul; Ivic, Aleksandar , Estimates for sums involving the largest prime factor of an integer and certain related additive functions. ,
Stud. Sci. Math. Hung. 15, 183-199 (1980). , 11N37
Zbl 456.10024  •  Erdös, Paul; Katai, I. , On the maximal value of additive functions in short intervals and on some related questions. ,
Acta Math. Acad. Sci. Hung. 35, 257-278 (1980); correction ibid. 37, 499 (1981). [Reviewer: B.Garrison] , 11N37 11K65
Zbl 463.10032  •  De Koninck, J.-M.; Erdös, Paul; Ivic, A. , Reciprocals of certain large additive functions. ,
Can. Math. Bull. 24, 225-231 (1981). [Reviewer: J.P.Tull] , 11N37 11N05
Zbl 466.10037  •  Erdös, Paul; Nicolas, Jean-Louis , Sur la fonction: Nombre de facteurs premiers de N. (On the function: Number of prime factors of N.) ,
Enseign. Math., II. Ser. 27, 3-27 (1981). [Reviewer: D.R.Heath-Brown] , 11N37 11N05
Zbl 478.10027  •  Bateman, Paul T.; Erdös, Paul; Pomerance, Carl; Straus, E.G. , The arithmetic mean of the divisors of an integer. ,
Analytic number theory, Proc. Conf., Temple Univ./Phila. 1980, Lect. Notes Math. 899, 197-220 (1981). [Reviewer: H.Jager] , 11N37 11N05
Zbl 488.10043  •  Erdös, Paul; Sárközy, András , Some asymptotic formulas on generalized divisor functions. II. ,
J. Number Theory 15, 115-136 (1982). [Reviewer: W.Schwarz] , 11N37 11K65 11B99
Zbl 488.10045  •  Erdös, Paul; Nicolas, Jean-Louis , Grandes valeurs d'une fonction liée au produit d'entiers consecutifs. (Large values of a function related to the product of consecutive integers.) ,
Ann. Fac. Sci. Toulouse, V. Ser., Math. 3, 173-199 (1981). [Reviewer: S.W..Graham] , 11N37 11N05
Zbl 489.10041  •  Erdös, Paul; Lint, J.H.van , On the average ratio of the smallest and largest prime divisor of n. ,
Indag. Math. 44, 127-132 (1982). [Reviewer: H.Jager] , 11N05 11N37 11A41
Zbl 492.10037  •  Erdös, Paul; Sárközy, András , Some asymptotic formulas on generalized divisor functions. III. ,
Acta Arith. 41, 395-411 (1982). [Reviewer: W.Schwarz] , 11N37
Zbl 497.10033  •  Erdös, Paul; Turk, J. , Products of integers in short intervals. ,
Acta Arith. 44, 147-174 (1984). [Reviewer: P.Erdös] , 11N05 11D41 11D61
Zbl 506.10035  •  Erdös, Paul; Ivic, Aleksandar , On sums involving reciprocals of certain arithmetical functions. ,
Publ. Inst. Math., Nouv. Ser. 32(46), 49-56 (1982). , 11N05
Zbl 512.10037  •  Erdös, Paul; Sárközy, András , Some asymptotic formulas on generalized divisor functions. IV. ,
Stud. Sci. Math. Hung. 15, 467-479 (1980). [Reviewer: W.Schwarz] , 11N37
Zbl 513.10043  •  Canfield, E.R.; Erdös, Paul; Pomerance, Carl , On a problem of Oppenheim concerning "Factorisatio Numerorum". ,
J. Number Theory 17, 1-28 (1983). [Reviewer: E.J.Scourfield] , 11N37 11N05 11B83 11A25
Zbl 517.10048  •  Erdös, Paul; Sárközy, András , Some asymptotic formulas on generalized divisor functions. I. ,
Studies in pure mathematics, Mem. of P. Turan, 165-179 (1983). [Reviewer: W.Schwarz] , 11N37
Zbl 525.10023  •  Erdös, Paul; Pomerance, Carl , An analogue of Grimm's problem of finding distinct prime factors of consecutive integers. ,
Util. Math. 24, 45-65 (1983). [Reviewer: S.W.Graham] , 11N05
Zbl 526.10036  •  Erdös, Paul; Tenenbaum, G. , Sur les diviseurs consecutifs d'un entier. (On consecutive divisors of an integer.) ,
Bull. Soc. Math. Fr. 111, 125-145 (1983). [Reviewer: E.J.Scourfield] , 11N37 11K65
Zbl 574.10012  •  Erdös, Paul; Sárközy, A.; Pomerance, C. , On locally repeated values of certain arithmetic functions. I. ,
J. Number Theory 21, 319-332 (1985). [Reviewer: L.Lucht] , 11A25 11A25 11N30
Zbl 581.10019  •  Erdös, Paul , Problems and results on consecutive integers and prime factors of binomial coefficients. ,
Rocky Mt. J. Math. 15, 358-363 (1985). [Reviewer: K.Ramachandra] , 11N37 11-02 00A07
Zbl 593.10036  •  Erdös, Paul , On two unconventional number-theoretic functions and on some related problems. ,
Calcutta Math. Soc. Diamond-Cum-Platinum Jubilee Commem. Vol. (1908- 1983), Pt. 1, 113-121 (1984). [Reviewer: A.Hildebrand] , 11N37 11K65
Zbl 609.10034  •  Erdös, Paul; Pomerance, C.; Sárközy, A. , On locally repeated values of certain arithmetic functions. II. ,
Acta Math. Hung. 49, 251-259 (1987). [Reviewer: D.R.Heath-Brown] , 11N05 11N35 11A25 11A25
Zbl 612.10038  •  Erdös, Paul; Murty, M.Ram; Murty, V.Kumar , On the enumeration of finite groups. ,
J. Number Theory 25, 360-378 (1987). [Reviewer: J.Knopfmacher] , 11N45 20D60
Zbl 615.10055  •  Erdös, Paul; Ivic, A.; Pomerance, C. , On sums involving reciprocals of the largest prime factor of an integer. ,
Glas. Mat., III. Ser. 21(41), 283-300 (1986). [Reviewer: K.Ramachandra] , 11N05 11N37
Zbl 618.10041  •  Erdös, Paul; Indlekofer, K.-H. , Multiplikative Funktionen auf kurzen Intervallen. (Multiplicative functions on short intervals.) ,
J. Reine Angew. Math. 381, 148-160 (1987). , 11N37
Zbl 625.10035  •  Erdös, Paul; Odlyzko, Andrew M.; Sárközy, A. , On the residues of products of prime numbers. ,
Period. Math. Hung. 18, 229-239 (1987). [Reviewer: A.Balog] , 11N13 11N05
Zbl 625.10038  •  Erdös, Paul; Sárközy, A. , On divisibility properties of integers of the form a+a'. ,
Acta Math. Hung. 50, 117-122 (1987). [Reviewer: K.Ramachandra] , 11N35 11B83
Zbl 631.10029  •  Erdös, Paul; Pomerance, Carl; Sárközy, András , On locally repeated values of certain arithmetic functions. III. ,
Proc. Am. Math. Soc. 101, 1-7 (1987). [Reviewer: D.R.Heath-Brown] , 11N37 11N05
Zbl 635.10040  •  Erdös, Paul; Mays, Michael E. , On nilpotent but not abelian groups and abelian but not cyclic groups. ,
J. Number Theory 28, No.3, 363-368 (1988). [Reviewer: J.Knopfmacher] , 11N45 20K99 20D99
Zbl 664.10025  •  Alladi, K.; Erdös, Paul; Vaaler, J.D. , Multiplicative functions and small divisors. II. ,
J. Number Theory 31, No.2, 183-190 (1989). [Reviewer: A.Hildebrand] , 11N37 11K65 11A25
Zbl 676.10030  •  Erdös, Paul; Tenenbaum, G. , Sur les fonctions arithmétiques liées aux diviseurs consécutifs. (On arithmetic functions related to consecutive divisors.) ,
J. Number Theory 31, No.3, 285-311 (1989). [Reviewer: E.J.Scourfield] , 11N05 11N37 11K65 11B83
Zbl 683.10035  •  Erdös, Paul; Nicolas, Jean-Louis , Grandes valeurs de fonctions liées aux diviseurs premiers consécutifs d'un entier. (Large values of functions connected to consecutive prime divisors of an integer.) ,
Théorie des nombres, C. R. Conf. Int., Québec/Can. 1987, 169-200 (1989). [Reviewer: A.Hildebrand] , 11N05 11N37
Zbl 687.10031  •  Erdös, Paul; Nicolas, J.L. , On functions connected with prime divisors of an integer. ,
Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 381-391 (1989). [Reviewer: K.Alladi] , 11N37 11N05
Zbl 694.10040  •  Erdös, Paul; Tenenbaum, G. , Sur les densités de certaines suites d'entiers. (On densities of certain sequences of integers.) ,
Proc. Lond. Math. Soc., III. Ser. 59, No.3, 417-438 (1989). [Reviewer: E.J.Scourfield] , 11N05 11N37 11B83 11K65
Zbl 695.10040  •  Erdös, Paul; Ivic, Aleksandar , On the iterates of the enumerating function of finite Abelian groups. ,
Bull., Cl. Sci. Math. Nat., Sci. Math. 17, 13-22 (1989). [Reviewer: E.Krätzel] , 11N45
Zbl 704.11032  •  Erdös, Paul; Ivic, Aleksandar , The distribution of values of a certain class of arithmetic functions at consecutive integers. ,
Number theory. Vol. I. Elementary and analytic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51, 45-91 (1990). [Reviewer: E.Krätzel] , 11N37 11N45
Zbl 708.11002  •  Erdös, Paul , Uses of and limitations of computers in number theory. ,
Computers and mathematics, Proc. Int. Conf., Stanford/CA (USA) 1986, Lect. Notes Pure Appl. Math. 125, 241-260 (1990). [Reviewer: H.J.Godwin] , 11-02 11Yxx 11N25 11N37 11N60 11B13 11N13
Zbl 715.11050  •  Erdös, Paul; Schinzel, A. , On the greatest prime factor of prodxk = 1f(k). ,
Acta Arith. 55, No.2, 191-200 (1990). [Reviewer: W.Narkiewicz] , 11N32
Zbl 718.11041  •  Balog, A.; Erdös, Paul; Tenenbaum, G. , On arithmetic functions involving consecutive divisors. ,
Analytic number theory, Proc. Conf. in Honor of Paul T. Bateman, Urbana/IL (USA) 1989, Prog. Math. 85, 77-90 (1990). [Reviewer: A.Hildebrand (Urbana)] , 11N25 11N37
Zbl 721.11034  •  Erdös, Paul; Granville, A.; Pomerance, C.; Spiro, C. , On the normal behavior of the iterates of some arithmetic functions. ,
Analytic number theory, Proc. Conf. in Honor of Paul T. Bateman, Urbana/IL (USA) 1989, Prog. Math. 85, 165-204 (1990). [Reviewer: E.J.Scourfield (Egham)] , 11N37 11A25
Zbl 723.11046  •  Erdös, Paul; Pomerance, Carl , On a theorem of Besicovitch: Values of arithmetic functions that divide their arguments. ,
Indian J. Math. 32, No.3, 279-287 (1990). [Reviewer: W.Schwarz (Frankfurt / Main)] , 11N37 11N25
Zbl 734.11047  •  Erdös, Paul; Pomerance, Carl; Schmutz, Eric , Carmichael's lambda function. ,
Acta Arith. 58, No.4, 363-385 (1991). [Reviewer: T.Maxsein (Frankfurt / Main)] , 11N37 11A07 11N45
Zbl 780.11040  •  Erdös, Paul; Pomerance, C.; Sárközy, A.; Stewart, C.L. , On elements of sumsets with many prime factors. ,
J. Number Theory 44, No.1, 93-104 (1993). [Reviewer: A.Balog (Budapest)] , 11N25 11B75 11N56
Zbl 791.11051  •  Erdös, Paul; Ivic, Aleksandar , The distribution of quotients of small and large additive functions. II. ,
Bombieri, E. (ed.) et al., Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno, 83-93 (1992). [Reviewer: E.J.Scourfield (Egham)] , 11N37 11K65 11N64
Zbl 802.11035  •  Erdös, Paul; Sárközy, A. , On isolated, respectively consecutive large values of arithmetic functions. ,
Acta Arith. 66, No.3, 269-295 (1994). [Reviewer: A.Hildebrand (Urbana)] , 11N37 11N64 11K65
Zbl 814.11043  •  Erdös, Paul; Hall, R.R.; Tenenbaum, G. , On the densities of sets of multiples. ,
J. Reine Angew. Math. 454, 119-141 (1994). [Reviewer: E.J.Scourfield (Egham)] , 11N25 11B75
Zbl 841.11048  •  Erdös, Paul; Sárközy, A.; Stewart, C.L. , On prime factors of subset sums. ,
J. Lond. Math. Soc., II. Ser. 49, No.2, 209-218 (1994). [Reviewer: R.J.Stroeker (Rotterdam)] , 11N35 11N25 11B83
Zbl 847.11048  •  Erdös, Paul; Saias, Eric , Sur le graphe divisoriel. (On the divisor graph.) ,
Acta Arith. 73, No.2, 189-198 (1995). [Reviewer: E.J.Scourfield (Egham)] , 11N56 11N25 11N37
Zbl 858.11051  •  Erdös, Paul; Graham, S.W.; Ivic, Aleksandar; Pomerance, Carl , On the number of divisors of n! ,
Berndt, Bruce C. (ed.) et al., Analytic number theory. Vol. 1. Proceedings of a conference in honor of Heini Halberstam, May 16-20, 1995, Urbana, IL, USA. Boston, MA: Birkhäuser, Prog. Math. 138, 337-355 (1996). [Reviewer: E.J.Scourfield (Egham)] , 11N37 05A10
Zbl 863.11058  •  Erdös, Paul; Nathanson, Melvyn B. , On the sum of the reciprocals of the differences between consecutive primes. ,
Chudnovsky, D. V. (ed.) et al., Number theory: New York seminar, 1991-1995. New York, NY: Springer, 97-101 (1996). [Reviewer: D.R.Heath-Brown (Oxford)] , 11N05

© 1998 European Mathematical Society & FIZ Karlsruhe & Springer-Verlag

Books Problems Set Theory Combinatorics Extremal Probl/Ramsey Th.
Graph Theory Add.Number Theory Mult.Number Theory Analysis Geometry
Probabability Personalia About Paul Erdös Publication Year Home Page