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Experimental Mathematics: Articles: Volume 12

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Experimental Mathematics

Volume 12 (2003)


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Volume 12, issue 1


On Minimal Length Factorization of Finite Groups
María Isabel González Vasco, Martin Rötteler, and Rainer Steinwandt
Full Text (PDF)
Dimensions of the Boundaries of Self-Similar Sets
Ka-Sing Lau and Sze-Man Ngai
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Sur la courbe modulaire XE (7)
Emmanuel Halberstadt et Alain Kraus
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Complex Dimensions of Self-Similar Fractal Strings and Diophantine Approximation
Michel L. Lapidus and Machiel van Frankenhuysen
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A Flat Manifold with No Symmetries
Reinhard Waldmüller
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Double Bubbles in the Three-Torus
Miguel Carrión Álvarez, Joseph Corneli, Genevieve Walsh, and Shabnam Beheshti
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Computing Homomorphism Spaces between Modules over Finite Dimensional Algebras
Klaus M. Lux and Magdolna Szoke
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New Computations Concerning the Cohen-Lenstra Heuristics
Herman te Riele and Hugh Williams
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How to Compute the Coefficients of the Elliptic Modular Function j (z)
Harald Baier and Günter Köhler
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Product Replacement in the Monster
Petra E. Holmes, Stephen A. Linton, and Scott H. Murray
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Volume 12, issue 2


The Ricatti Equation: Pinching of Forcing and Solutions
Marlies Gerber, Boris Haselblatt, and Daniel Keesing
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The Asymptotic Distribution of Exponential Sums, I
S. J. Patterson
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Arithmétique des courbes elliptiques à reduction supersingulière en p
Bernadette Perrin-Riou
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Noncollision Singularities: Do Four Bodies Suffice?
Joseph L. Gerver
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Distributing Points on the Sphere, I
Ali Katanforoush and Mehrdad Shahshahani
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Computation of the Fundamental Units and the Regulator of a Cyclic Cubic Function Field
Y. Lee, R. Scheidler, and C. Yarrish
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The Spectrum of the Damped Wave Operator for a Bounded Domain in R2
Mark Asch and Gilles Lebeau
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Congruence Subgroups of PSL(2, ℤ) of Genus Less than or Equal to 24
C. J. Cummins and S. Pauli
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Volume 12, issue 3


Nonexistence of a Weakly Neighbourly Polyhedral Map of Type {6, 6}
Nandini Nilakantan
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Some Experimental Results on the Frobenius Problem
Matthias Beck, David Einstein, and Shelemyahu Zacks
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Toward Optimality in Discrete Morse Theory
Thomas Lewiner, Hélio Lopes, and Geovan Tavares
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Can Computers Discover Ideal Knots?
Eric J. Rawdon
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A Remark on Prime Divisors of Lengths of Sides of Heron Triangles
István Gaál, István Járási, and Florian Luca
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Numerical Investigations Related to the Derivatives of the L-Series of Certain Elliptic Curves
C. Delauney and S. Duquesne
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Volume Conjecture and Asymptotic Expansion of q-Series
Kazuhiro Hikami
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Foliations of Hyperbolic Space by Constant Mean Curvature Surfaces Sharing Ideal Boundary
David Chopp and John A. Velling
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The Dirac Complex on Abstract Vector Variables: Megaforms
Irene Sabadini, Frank Sommen, and Daniele C. Struppa
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Patterns in Knot Cohomology
Mikhail Khovanov
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Computing the Pluricomplex Green Function with Two Poles
Frank Wikström
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Volume 12, issue 4


A GAP Package for Braid Orbit Computation and Applications
Kay Magaard, Sergey Shpectorov, and Helmut Völklein
Full Text (PDF)
Counting Points in Medium Characteristic Using Kedlaya’s Algorithm
Pierrick Gaudry and Nicolas Gürel
Full Text (PDF)
Sampling on the Sierpinski Gasket
Richard Oberlin, Brian Street, and Robert S. Strichartz
Full Text (PDF)
Numerical Verification of the Stark-Chinburg Conjecture for Some Icosahedral Representations
Arnaud Jehanne, Xavier-Francois Roblot, and Jonathan Sands
Full Text (PDF)
The Hypermetric Cone on Seven Vertices
Michel Deza and Mathieu Dutour
Full Text (PDF)
Some New Formulas for π
Gert Almkvist, Christian Krattenthaler, and Joakim Petersson
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New Methods Providing High Degree Polynomials with Small Mahler Measure
G. Rhin and J. -M. Sac-Épée
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Multiply Quasiplatonic Riemann Surfaces
Ernesto Girondo
Full Text (PDF)
On the Last Geometric Statement of Jacobi
R. Sinclair
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Irreducible Cyclic Presentations of the Trivial Group
George Havas and Edmund F. Robertson
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The ½-Complex Bruno Function and the Yoccoz Function: A Numerical Study of the Marmi-Moussa-Yoccoz Conjecture
Timoteo Carletti
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About a New Kind of Ramanujan-Type Series
Jesús Guillera
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