Experimental Mathematics

Volume 11 (2002)

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Volume 11, issue 1

Loki: Software for Computing Cut Loci
R. Sinclair and M. Tanaka
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The Set of Poles of a Two-Sheeted Hyperboloid
R. Sinclair and M. Tanaka
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Elliptic Curves and Class Fields of Real Quadratic Fields: Algorithms and Evidence
H. Darmon and P. Green
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MOP—Algorithmic Modality Analysis for Parabolic Group Actions
U. Jürgens and Gerhard Röhrle
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Decomposable Ternary Cubics
J. V. Chipalkatti
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A Method to Estimate the Degree of C⁰-Sufficiency of Analytic Functions
C. Bivià-Ausina
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Power Integral Bases in Orders of Composite Fields
I. Gaál, P. Olajos, and M. Pohst
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The Achilles' Heel of O(3,1)?
W. Floyd, B. Weber, and J. Weeks
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Calculating Canonical Distinguished Involutions in the Affine Weyl Groups
T. Chmutova and V. V. Ostrik
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The d-Dimensional Gauss Transformation: Strong Convergence and Lyapunov Exponents
D. M. Hardcastle and K. Khanin
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The Three-Dimensional Gauss Algorithm Is Strongly Convergent Almost Everywhere
D. M. Hardcastle
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Curvature Testing in 3-Dimensional Metric Polyhedral Complexes
M. Elder and J. McCammond
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Volume 11, issue 2

Constructing Canonical Bases of Quantized Enveloping Algebras
W. A. de Graaf
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Algorithms for Function Fields
J. Klüners
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Computational Aspects of Group Extensions and Their Applications in Topology
K. Dekimpe and B. Eick
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Aliquot Sequence 3630 Ends After Reaching 100 Digits
M. Benito, W. Creyaufmüller, J. L. Varona, and P. Zimmermann
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Deforming the Singly Periodic Genus-One Helicoid
D. Hoffmann and F. Wei
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Regularity of Conjugacies between Critical Circle Maps: An Experimental Study
R. de la Llave and N. P. Petrov
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On the Minimizers of the Möbius Cross Energy of Links
Z. -X. He
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Systoles of a Family of Triangle Surfaces
U. Hamenstädt and R. Koch
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The Forcing Relation for Horseshoe Braid Types
A. de Carvalho and T. Hall
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On the First Two Vassiliev Invariants
S. Willerton
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On Some Inequalities Concerning π(x)
R. Garunkštis
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Some Computations with Hecke Rings and Deformation Rings
J. -C. Lario, R. Schoof, A. Agashe, and W. Stein
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Polynomial Invariants and Harmonic Functions Related to Exceptional Regular Polytopes
K. Iwasaki, A. Kenma, and K. Matsumoto
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Volume 11, issue 3

Abelian Surfaces over Finite Fields as Jacobians
D. Maisner and E. Nart with an Appendix by E. W. Howe
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Reversible Complex Hénon Maps
C. R. Jordan, D. A. Jordan, and J. H. Jordan
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Le critère de Beurling et Nyman pour l'hypothèse de Riemann: aspects numériques
B. Landreau et F. Richard
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Computing a Glimpse of Randomness
C. S. Calude, M. J. Dinneen, and C. -K. Shu
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Computing Kazhdan-Lusztig Polynomials for Arbitrary Coxeter Groups
F. du Cloux
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Sur un système fibré lié à la suite des nombres premiers
A. Costé
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Hecke Eigenvalues for Real Quadratic Fields
K. Okada
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Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links
H. Murakami, J. Murakami, M. Okamoto, T. Takata, and Y. Yokota
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The EKG Sequence
J. C. Lagarias, E. M. Rains, and N. J. A. Sloane
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Volume 11, issue 4

Partitions with Parts in a Finite Set and with Parts Outside a Finite Set
Gert Almkvist
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Symmetric Squares of Elliptic Curves: Rational Points and Selmer Groups
Neil Dummigan
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Some Remarks on the Distribution of a Sequence Connected with ζ(½)
Christoph Baxa
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Noncyclotomic ℤ_p-Extensions of Imaginary Quadratic Fields
Takashi Fukuda
Keiichi Komatsu
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On the Computation of Nonhyperbolic Fixed Points
Mário M. Graça
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Computing the Modular Degree of an Elliptic Curve
Mark Watkins
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Explicit Determination of the Images of the Galois Representations Attached to Abelian Surfaces with End(A)= ℤ
Luis V. Dieulefait
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Computing Amoebas
Thorsten Theobald
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Random Generators and Normal Numbers
David H. Bailey
Richard E. Crandall
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Yet More Projective Curves over F₂
Chris Lomont
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The Splitting of Primes in Division Fields of Elliptic Curves
W. Duke
Á. Tóth
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Analogues of Weyl’s Formula for Reduced Enveloping Algebras
J. E. Humphreys
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