Experimental Mathematics (Project Euclid)

Experimental Mathematics, Volume 16, Number 4 (2007)

Mon, 23 Jun 2008 11:28 EDT

Contents:

Table of Contents, Experiment. Math., vol. 16, no. 4 (2007).

Araceli Bonifant, Marius Dabija, John Milnor. Elliptic Curves as Attractors in ${\mathbb P}^2$, Part 1: Dynamics. 385--420.

D. Lehavi, C. Ritzenthaler. An Explicit Formula for the Arithmetic--Geometric Mean in Genus 3. 421--440.

B. Schratzberger. On the Singularization of the Two-Dimensional Jacobi--Perron Algorithm. 441--454.

R. Coulangeon, M. I. Icaza, M. O'Ryan. Lenstra's Constant and Extreme Forms in Number Fields. 455--462.

Roland K. W. Roeder. Constructing Hyperbolic Polyhedra Using Newton's Method. 463--492.

Claus Fieker. Sparse Representation for Cyclotomic Fields. 493--500.

A. E. McCluskey, D. W. McIntyre, W. S. Watson. The Propositional Theory of Closure. 501--512.

Experimental Mathematics, Volume 17, Number 1 (2008)

Tue, 18 Nov 2008 13:12 EST

Contents:

Table of Contents, Experiment. Math., vol. 17, no. 1 (2008).

Mitsuyuki Ochiai, Noriko Morimura. Base-Tangle Decompositions of $n$-String Tangles with $1<n<10$. 1--8.

I. S. Dhillon, R. W. Heath, T. Strohmer, J. A. Tropp. Constructing Packings in Grassmannian Manifolds via Alternating Projection. 9--35.

L. J. P. Kilford, Gabor Wiese. On the Failure of the Gorenstein Property for Hecke Algebras of Prime Weight. 37--52.

Michal Kouril, Jerome L. Paul. The van der Waerden Number $W(2,6)$ Is 1132. 53--61.

Andrzej Dudek, Vojtĕech Rödl. On the Folkman Number ${f(2,3,4)}$. 63--67.

Tewodros Amdeberhan, Dante Manna, Victor H. Moll. The 2-adic Valuation of Stirling Numbers. 69--82.

Andrej Dujella, Vinko Petričcević. Strong Diophantine Triples. 83--89.

Mizan Khan, Igor E. Shparlinski, Christian L. Yankov. On the Convex Closure of the Graph of Modular Inversions. 91--104.

Mark Watkins. Some Heuristics about Elliptic Curves. 105--125.

Experimental Mathematics, Volume 17, Number 2 (2008)

Wed, 19 Nov 2008 13:23 EST

Contents:

Table of Contents, Experiment. Math., vol. 17, no. 2 (2008).

Jan-Erik Roos. The Homotopy Lie Algebra of a Complex Hyperplane Arrangement Is Not Necessarily Finitely Presented. 129--143.

Nobushige Kurokawa, Takakazu Satoh. Euclid Prime Sequences over Unique. 145--152.

Gennaro Amendola. Decomposition and Enumeration of Triangulated Surfaces. 153--166.

Ryo Ohashi. The Rational Homology Group of \boldmath$ \Out(F_n)$} for \boldmath${n\leq 6}$. 167--179.

Nils Bruin, Michael Stoll. Deciding Existence of Rational Points on Curves: An Experiment. 181--189.

Masayuki Noro, Takeshi Sasaki, Kotaro Yamada, Masaaki Yoshida. Confluence of Swallowtail Singularities of the Hyperbolic Schwarz Map Defined by the Hypergeometric Differential Equation. 191--204.

Martin Traizet. Exploring the Space of Embedded Minimal Surfaces of Finite Total Curvature. 205--221.

Jonathan M. Borwein, Bruno Salvy. A Proof of a Recurrence for Bessel Moments. 223--230.

Steven J. Miller, Tim Novikoff, Anthony Sabelli. The Distribution of the Largest Nontrivial Eigenvalues in Families of Random Regular Graphs. 231--244.

I. R. Hentzel, L. A. Peresi. Nuclear Elements of Degree 6 in the Free Alternative Algebra. 245--255.

Experimental Mathematics, Volume 17, Number 3 (2008)

Wed, 19 Nov 2008 14:03 EST

Contents:

Table of Contents, Experiment. Math., vol. 17, no. 3 (2008).

Jin-Hwan Cho, Ji-Young Ham. The Minimal Dilatation of a Genus-Two Surface. 257--267.

Takeshi Sasaki, Kotaro Yamada, Masaaki Yoshida. The Hyperbolic Schwarz Map for the Hypergeometric. 269--282.

Oliver Goodman, Damian Heard, Craig Hodgson. Commensurators of Cusped Hyperbolic Manifolds. 283--306.

John J. Cannon, Derek F. Holt. The Transitive Permutation Groups of Degree 32. 307--314.

F. Thaine. On the Construction of Families of Cyclic Polynomials Whose Roots Are Units. 315--331.

Tomas Johnson. $L^p$ Spectral Radius Estimates for the Lamé System on an Infinite Sector. 333--339.

Manuel Kauers, Doron Zeilberger. Experiments with a Positivity-Preserving Operator. 341--345.

Melissa L. Macasieb. Derived Arithmetic Fuchsian Groups of Genus Two. 347--369.

Andrew Bremner. On the Equation $Y^2 = X^5 + k$. 371--374.

Dean Alvis. Subrings of the Asymptotic Hecke Algebra of Type $H_4$. 375--383.

Experimental Mathematics, Volume 17, Number 4 (2008)

Wed, 27 May 2009 09:12 EDT

Contents:

Table of Contents, Experiment. Math., vol. 17, no. 4 (2008).

Andrew Bremmer. When Can $(((X^2-P)^2-Q)^2-R)^2-S^2$ Split into Linear Factors?. 385--390.

Lluís Alsedà, David Juher, Deborah M. King. A Lower Bound for the Maximum Topological Entropy of $(4k+2)$-Cycles. 391--408.

Daniel B. Grünberg, Pieter Moree. Sequences of Enumerative Geometry: Congruences and Asymptotics, with an appendix by Don Zagier. 409--426.

Lassina Dembélé. An Algorithm for Modular Elliptic Curves over Real Quadratic Fields. 427--438.

Shaun Cooper. The Cubic Chan–Chua Conjecture. 439--442.

V. Flammang. On the Absolute Trace of Polynomials Having All Zeros in a Sector. 443--450.

Michael J. Mossinghoff, Georges Rhin, Qiang Wu. Minimal Mahler Measures. 451--458.

Ariel Pacetti, Gonzalo Tornaría. Computing Central Values of Twisted $L$-Series: The Case of Composite Levels. 459--472.

Damian Heard, Ekaterina Pervova, Carlo Petronio. The 191 Orientable Octahedral Manifolds. 473--486.

Kheira Ameur, Mohamed Elhamdadi, Tom Rose, Masahico Saito, Chad Smudde. Tangle Embeddings and Quandle Cocycle Invariants. 487--498.

W. Plesken, D. Robertz. Elimination for Coefficients of Special Characteristic Polynomials. 499--510.

Experimental Mathematics, Volume 18, Number 1 (2009)

Wed, 27 May 2009 09:22 EDT

Contents:

Table of Contents, Experiment. Math., vol. 18, no. 1 (2009).

Graham Everest, Valéry Mahé. A Generalization of Siegel’s Theorem and Hall’s Conjecture. 1--10.

Clifton Cunningham, Julia Gordon. Motivic Proof of a Character Formula for SL(2). 11--44.

Alexander Engström. Discrete Morse Functions from Fourier Transforms. 45--54.

Avner Ash, Brandon Bate, Robert Gross. Frequencies of Successive Tuples of Frobenius Classes. 55--64.

Nicolas Bernard,, Franck Leprévost, Michael Pohst. Jacobians of Genus-2 Curves with a Rational Point of Order 11. 65--70.

Anna Scaramuzza. Algorithms for Projectivity and Extremal Classes of a Smooth Toric Variety. 71--84.

Christian Weber. Low-Degree Cohomology of Integral Specht Modules. 85--96.

Guo-Niu Han. Some Conjectures and Open Problems on Partition Hook Lengths. 97--106.

D. H. Bailey, J. M. Borwein, R. E. Crandall. Resolution of the Quinn–Rand–Strogatz Constant of Nonlinear Physics. 107--116.

Morgan Sherman. Convergence Properties of Donaldson's $T$-Iterations on the Riemann Sphere. 117--126.

Experimental Mathematics, Volume 18, Number 2 (2009)

Wed, 25 Nov 2009 09:14 EST

Contents:

Table of Contents, Experiment. Math., vol. 18, no. 2 (2009).

Carlos Castaño-Bernard. A Note on the Rational Points of $X_0^+(N)$. 129--135.

Richard Evan Schwartz. Obtuse Triangular Billiards II: One Hundred Degrees Worth of Periodic Trajectories. 137--171.

Mark Levi, Serge Tabachnikov. On Bicycle Tire Tracks Geometry, Hatchet Planimeter, Menzin's Conjecture, and Oscillation of Unicycle Tracks. 173--186.

Michael Eisermann, Christoph Lamm. For Which Triangles Is Pick's Formula Almost Correct?. 187--191.

Jeffrey Stopple. The Quadratic Character Experiment. 193--200.

Rafał Lutowski. On Symmetry of Flat Manifolds. 201--204.

Bettina Eick, Dörte Feichtenschlager. Constructing CF Groups by Coclass. 205--211.

Takashi Fukuda, Keiichi Komatsu. Weber's Class Number Problem in the Cyclotomic $\Z_2$-Extension of $\Q$. 213--222.

Matteo Petrera, Andreas Pfadler, Yuri B. Suris. On Integrability of Hirota--Kimura-Type Discretizations: Experimental Study of the Discrete Clebsch System. 223--247.

Jeffrey Wang. Finding and Investigating Exact Spherical Codes. 249--256.

Experimental Mathematics, Volume 18, Number 3 (2009)

Wed, 25 Nov 2009 09:14 EST

Contents:

Table of Contents, Experiment. Math., vol. 18, no. 3 (2009).

Brandon Ballinger, Grigoriy Blekherman, Henry Cohn, Noah Giansiracusa, Elizabeth Kelly, Achill Schürmann. Experimental Study of Energy-Minimizing Point Configurations on Spheres. 257--283.

Motoo Tange. Lens Spaces Given from L-Space Homology 3-Spheres. 285--301.

Minoru Yabuta. Primitive Divisors of Certain Elliptic Divisibility Sequences. 303--310.

Yuhei Umeda. Constant-Mean-Curvature Surfaces with Singularities in Minkowski 3-Space. 311--323.

Sergey Kushnarev. Teichons: Solitonlike Geodesics on Universal Teichmüller Space. 325--336.

Clifton Cunningham, Lassina Dembélé. Computing Genus-$2$ Hilbert--Siegel Modular Forms over $\Q(\sqrt{5})$ via the Jacquet--Langlands Correspondence. 337--345.

X. W. C. Faber. The Geometric Bogomolov Conjecture for Curves of Small Genus. 347--367.

Hirotachi Abo, Maria Chiara Brambilla. Secant Varieties of Segre-Veronese Varieties $\P^m \times \P^n$ Embedded by $\cO(1,2)$. 369--384.

Experimental Mathematics, Volume 18, Number 4 (2009)

Wed, 25 Nov 2009 09:16 EST

Contents:

Table of Contents, Experiment. Math., vol. 18, no. 4 (2009).

Hennie De Schepper, Frank Sommen, Liesbet Van de Voorde. A Basic Framework for Discrete Clifford Analysis. 385--395.

E. Kin, S. Koijima, M. Takasawa. Entropy versus Volume for Pseudo-Anosovs. 397--407.

V. Gelfreich, V. Naudot. Width of the Homoclinic Zone in the Parameter Space for Quadratic Maps. 409--427.

Sonal Jain. Minimal Regulators for Rank-2 Subgroups of Rational and $K3$ Elliptic Surfaces. 429--447.

Tyrus Berry, Steven M. Heilman, Robert S. Strichartz. Outer Approximation of the Spectrum of a Fractal Laplacian. 449--480.

Adam Boocher, Jay Daigle, Jim Hoste, Wenjing Zheng. Sampling Lissajous and Fourier Knots. 481--497.

Christian Böhning, Hans-Christian Graf von Bothmer, Jakob Kröker. Rationality of Moduli Spaces of Plane Curves of Small Degree. 499--508.