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Experimental mathematics
Tome 11 (2002)
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Sommaire du
Fascicule no. 1
Loki: software for computing cut loci.
Sinclair, Robert
;
Tanaka, Minoru
p. 1-25
The set of poles of a two-sheeted hyperboloid.
Sinclair, Robert
;
Tanaka, Minoru
p. 27-36
Elliptic curves and class fields of real quadratic fields: Algorithms and evidence.
Darmon, Henri
;
Green, Peter
p. 37-55
MOP -- algorithmic modality analysis for parabolic actions.
Jürgens, Ulf
;
Röhrle, Gerhard
p. 57-67
Decomposable ternary cubics.
Chipalkatti, Jaydeep V.
p. 69-80
A method to estimate the degree of -sufficiency of analytic functions.
Bivià-Ausina, Carles
p. 81-85
Power integral bases in orders of composite fields.
Gaál, István
;
Olajos, Péter
;
Pohst, Michael
p. 87-90
The Achilles' heel of ?
Floyd, William
;
Weber, Brian
;
Weeks, Jeffrey
p. 91-97
Calculating canonical distinguished involutions in the affine Weyl groups.
Chmutova, Tanya
;
Ostrik, Viktor
p. 99-117
The -dimensional Gauss transformation: Strong convergence and Lyapunov exponents.
Hardcastle, D.M.
;
Khanin, K.
p. 119-129
The three-dimensional Gauss algorithm is strongly convergent almost everywhere.
Hardcastle, D.M.
p. 131-141
Curvature testing in 3-dimensional metric polyhedral complexes.
Elder, Murray
;
McCammond, Jon
p. 143-158
Sommaire du
Fascicule no. 2
Constructing canonical bases of quantized enveloping algebras.
de Graaf, Willem A.
p. 161-170
Algorithms for function fields.
Klüners, Jürgen
p. 171-181
Computational aspects of group extensions and their applications in topology.
Dekimpe, Karel
;
Eick, Bettina
p. 183-200
Aliquot sequence 3630 ends after reach 100 digits.
Benito, Manuel
;
Creyaufmüller, Wolfgang
;
Varona, Juan L.
;
Zimmermann, Paul
p. 201-206
Deforming the singly periodic genus-one helicoid.
Hoffman, David
;
Wei, Fusheng
p. 207-218
Regularity of conjugacies between critical circle maps: an experimental study.
de la Llave, Rafael
;
Petrov, Nikola P.
p. 219-241
On the minimizers of the Möbius cross energy of links.
He, Zheng-Xu
p. 244-248
Systoles of a family of triangle surfaces.
Hamenstädt, Ursula
;
Koch, Roman
p. 249-270
The forcing relation for horseshoe braid types.
de Carvalho, André
;
Hall, Toby
p. 271-288
On the first two Vassiliev invariants.
Willerton, Simon
p. 289-296
On some inequalities concerning .
Garunkštis, R.
p. 297-301
Some computations with Hecke rings and deformation rings. With an appendix by Amod Agashe and William Stein.
Lario, Joan-C.
;
Schoof, René
p. 303-311
Polynomial invariants and harmonic functions related to exceptional regular polytopes.
Iwasaki, Katsunori
;
Kenma, Atsufumi
;
Matsumoto, Keiji
p. 313-319
Sommaire du
Fascicule no. 3
Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe.
Maisner, Daniel
;
Nart, Enric
p. 321-337
Reversible complex Hénon maps.
Jordan, C.R.
;
Jordan, D.A.
;
Jordan, J.H.
p. 339-347
The Beurling-Nyman criterion for the Riemann hypothesis: numerical aspects. (Le critère de Beurling et Nyman pour l'hypothèse de Riemann: aspects numérique.)
Landreau, Bernard
;
Richard, Florent
p. 349-360
Computing a glimpse of randomness.
Calude, Cristian S.
;
Dinneen, Michael J.
;
Shu, Chi-Kou
p. 361-370
Computing Kazhdan-Lusztig polynomials for arbitrary Coxeter groups.
du Cloux, Fokko
p. 371-381
A fibered system associated with the prime number sequence. (Sur un système fibré lié à la suite des nombres premiers.)
Costé, Alain
p. 383-405
Hecke eigenvalues for real quadratic fields.
Okada, Kaoru
p. 407-426
Kashaev's conjecture and the Chern-Simons invariants of knots and links.
Murakami, Hitoshi
;
Kurakami, Jun
;
Okamoto, Miyuki
;
Takata, Toshie
;
Yokota, Yoshiyuki
p. 427-435
The EKG sequence.
Lagarias, J.C.
;
Rains, E.M.
;
Sloane, N.J.A.
p. 437-446
Sommaire du
Fascicule no. 4
Partitions with parts in a finite set and with parts outside a finite set.
Almkvist, Gert
p. 449-456
Symmetric squares of elliptic curves: rational points and Steiner groups.
Dummigan, Neil
p. 457-464
Some remarks on the distribution of a sequence connected with .
Baxa, Christoph
p. 465-468
Noncyclotomic -extensions of imaginary quadratic fields.
Fukuda, Takashi
;
Komatsu, Keiichi
p. 469-475
On the computation of nonhyperbolic fixed points.
Graça, Mário M.
p. 477-485
Computing the modular degree of an elliptic curve.
Watkins, Mark
p. 487-502
Explicit determination of the images of the Galois representations attached to abelian surfaces with .
Dieulefait, Luis V.
p. 503-512
Computing amoebas.
Theobald, Thorsten
p. 513-526
Random generators and normal numbers.
Bailey, David H.
;
Crandall, Richard E.
p. 527-546
Yet more projective curves over .
Lomont, Chris
p. 547-554
The splitting of primes in division fields of elliptic curves.
Duke, W.
;
Tóth, Á.
p. 555-565
Analogues of Weyl's formula for reduced enveloping algebras.
Humphreys, J.E.
p. 567-573