About the number of primitive non-associated second order matrices of determinant \(n\) divisible by a given matrix

		ISSN 1683-3414 (Print) • ISSN 1814-0807 (Online)

		Log in

Home Editorial board Publication ethics Peer review guidelines Latest issue All issues Rules for authors Online submission system’s guidelines Submit manuscript Contacts Address: Vatutina st. 53, Vladikavkaz, 362025, RNO-A, Russia Phone: (8672)23-00-54 E-mail: rio@smath.ru	Dear authors! Submission of all materials is carried out only electronically through Online Submission System in personal account. DOI: 10.23671/VNC.2015.2.7284 About the number of primitive non-associated second order matrices of determinant \(n\) divisible by a given matrix Pachev U. M. Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 2. Abstract: We obtained formulae for the number of primitive non-associated second order matrices of given odd determinant, as well as for the number of such matrices divisible on the right (left) by the given matrix used in questions of representability of integers by indefinite ternary quadratic forms. Keywords: discrete ergidic method, primitive matrix of integers, norm (determinant) of a matrix, divisibility of matrices, non-associated matrices on the right (left) Language: Russian Download the full text For citation: Pachev U. M. About the number of primitive non-associated second order matrices of determinant \(n\) divisible by a given matrix. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 17, no. 2, pp.62-67. DOI 10.23671/VNC.2015.2.7284 + References 1. Linnik Ju. V. Jergodicheskie Svojstva Algebraicheskih Polej, Izd-vo LGU, 1967. 2. Malyshev A. V., Pachev U. M. Arithmetic of second-order matrices. J. of Soviet Math. [Zap. Nauchn. Sem. LOMI], 1982, vol. 19, no. 2, pp. 1096-1122. 3. Pachev U. M. Representation of integers by isotropic ternary quadratic forms. Izvestiya: Mathematics [Izv. RAN. Ser. Mat.], 2006, vol. 70, no. 3, pp. 587-604. 4. Newman M. Integral Matrices, N.Y.L.: AP, 1972, 224 p. 5. Pachev U. M. O chisle privedennyh celochislennyh binarnyh kvadratichnyh form s usloviem delimosti pervyh kojefficientov, Chebyshevskij Sb., 2003, vol. 4, no.3(7), pp. 92-105. ← Contents of issue


	\| Home \| Editorial board \| Publication ethics \| Peer review guidelines \| Latest issue \| All issues \| Rules for authors \| Online submission system’s guidelines \| Submit manuscript \|
	© 1999-2023 Южный математический институт