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.

Experimental Mathematics, Volume 19, Number 1 (2010)

Fri, 12 Mar 2010 09:40 EST

Contents:

Table of Contents, Experiment. Math., vol. 19, no. 1 (201009).

Liqun Fang, J. William Hoffman, Benjamin Linowitz, Andrew Rupinski, Helena Verrill. Modular Forms on Noncongruence Subgroups and Atkin--Swinnerton-Dyer Relations. 1--27.

Tobias Finis, Fritz Grunewald, Paulo Tirao. The Cohomology of Lattices in ${\SL}(2,\mathbb{C})$. 29--63.

Hidenori Katsurada. Exact Standard Zeta Values of Siegel Modular Forms. 65--77.

Stefan Hougardy, Frank H. Lutz, Mariano Zelke. Surface Realization with the Intersection Segment Functional. 79--92.

Gilles Lebeau, Maëlle Nodet. Experimental Study of the HUM Control Operator for Linear Waves. 93--120.

Ben Elias, Lior Silberman, Ramin Takloo-Bighash. Minimal Permutation Representations of Nilpotent Groups. 121--128.

Experimental Mathematics, Volume 19, Number 2 (2010)

Thu, 17 Jun 2010 10:26 EDT

Contents:

Table of Contents, Experiment. Math., vol. 19, no. 2 (2010).

Moira Chas, Anthony Phillips. Self-Intersection Numbers of Curves on the Punctured Torus. 129--148.

Jack Fearnley, Hershy Kisilevsky. Critical Values of Derivatives of Twisted Elliptic $L$-Functions. 149--160.

Hossein Movasati, Stefan Reiter. Painlevé VI Equations with Algebraic Solutions and Family of Curves. 161--173.

Hans D. Mittelmann, Frank Vallentin. High-Accuracy Semidefinite Programming Bounds for Kissing Numbers. 174--178.

Andreas-Stephan Elsenhans, Jörg Jahnel. On the Smallest Point on a Diagonal Cubic Surface. 181--193.

Daniel Delbourgo, Thomas Ward. The Growth of CM Periods over False Tate Extensions. 195--210.

Damian Heard, Craig Hodgson, Bruno Martelli, Carlo Petronio. Hyperbolic Graphs of Small Complexity. 211--236.

Alireza Sarveniazi, Stefan Wiedmann. Explicit Construction of the (13,13)-Regular Hypergraph. 237--242.

Sebastian Mayer. Calculation of Hilbert Borcherds Products. 243--256.

Experimental Mathematics, Volume 19, Number 3 (2010)

Tue, 04 Oct 2011 15:54 EDT

Contents:

Kimberly Hopkins. Higher-Weight Heegner Points. 257--266.

Nicholas M. Katz. 2, 3, 5, Legendre: ± Trace Ratios in Families of Elliptic Curves. 267--277.

Alessandro Languasco, Alessandro Zaccagnini. Computing the Mertens and Meissel–Mertens Constants for Sums over Arithmetic Progressions. 279--284.

Benjamin A. Burton. Quadrilateral–Octagon Coordinates for Almost Normal Surfaces. 285--315.

Helen Avelin. Computations of Green's Function and Its Fourier Coefficients on Fuchsian Groups. 317--334.

Helen Avelin. Numerical Computations of Green's Function and Its Fourier Coefficients on PSL(2, ℤ). 335--343.

Guillaume Hanrot, Bruno Martin, Gérald Tenenbaum. Constantes de Turán–Kubilius friables: une étude numérique. 345--361.

Jakob Jonsson. More Torsion in the Homology of the Matching Complex. 363--383.

Experimental Mathematics, Volume 19, Number 4 (2010)

Tue, 04 Oct 2011 15:55 EDT

Contents:

Kevin Ford, Jason Sneed. Chebyshev's Bias for Products of Two Primes. 385--398.

Steve Butler, Kevin P. Costello, Ron Graham. Finding Patterns Avoiding Many Monochromatic Constellations. 399--411.

Andrew Kresch. CW Complexes for Complex Algebraic Surfaces. 413--419.

Masato Goshima, Masakazu Yamagishi. On the Dimension of the Space of Harmonic Functions on a Discrete Torus. 421--429.

Jonathan M. Borwein, O-Yeat Chan, R. E. Crandall. Higher-Dimensional Box Integrals. 431--446.

Dominique Cerveau, Julie Déserti. Feuilletages et Transformations Périodiques. 447--464.

Gunter Malle. On the Distribution of Class Groups of Number Fields. 465--474.

Eric D. Driver, John W. Jones. Minimum Discriminants of Imprimitive Decic Fields. 475--479.

Tanguy Rivoal. Extremality Properties of Some Diophantine Series. 481--494.

Aaron Greicius. Elliptic Curves with Surjective Adelic Galois Representations. 495--507.

Experimental Mathematics, Volume 20, Number 1 (2011)

Thu, 06 Oct 2011 14:06 EDT

Contents:

Yoshihiro Fukumoto. w -Invariants and the Fintushel–Stern Invariants for Plumbed Homology 3-Spheres. 1--14.

Antonio J. Durán. Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations. 15--24.

Winfried Bruns, Raymond Hemmecke, Bogdan Ichim, Matthias Köppe, Christof Söger. Challenging Computations of Hilbert Bases of Cones Associated with Algebraic Statistics. 25--33.

Ian Morrison, David Swinarski. Gröbner Techniques for Low-Degree Hilbert Stability. 34--56.

Ted Ashton, Jason Cantarella, Michael Piatek, Eric J. Rawdon. Knot Tightening by Constrained Gradient Descent. 57--90.

Tohru Eguchi, Hirosi Ooguri, Yuji Tachikawa. Notes on the K3 Surface and the Mathieu Group M 24. 91--96.

Pierre Arnoux, Julien Bernat, Xavier Bressaud. Geometrical Models for Substitutions. 97--120.

Experimental Mathematics, Volume 20, Number 2 (2011)

Thu, 06 Oct 2011 14:06 EDT

Contents:

Barnaby Dalton, Mustazee Rahman, Stephen Tanny. Spot-Based Generations for Meta-Fibonacci Sequences. 129--137.

Askar Dzhumadil’daev, Pasha Zusmanovich. The Alternative Operad Is Not Koszul. 138--144.

Mikkel Abrahamsen, Søren Eilers. On the Asymptotic Enumeration of LEGO Structures. 145--152.

J. O. Button. Proving Finitely Presented Groups are Large by Computer. 153--168.

Xavier-François Roblot, Alfred Weiss. Numerical Evidence Toward a 2-adic Equivariant “Main Conjecture”. 169--176.

E. Giné, C. S. Güntürk, W. R. Madych. On the Periodized Square of L 2 Cardinal Splines. 177--188.

Kevin G. Hare. Generalized Gorshkov–Wirsing Polynomials and the Integer Chebyshev Problem. 189--200.

Jonathan Spreer, Wolfgang Kühnel. Combinatorial Properties of the $K^3$ Surface: Simplicial Blowups and Slicings. 201--216.

Markus Kirschmer. Finite Symplectic Matrix Groups. 217--228.

Experimental Mathematics, Volume 20, Number 3 (2011)

Thu, 06 Oct 2011 14:06 EDT

Contents:

David Bremner, Lars Schewe. Edge-Graph Diameter Bounds for Convex Polytopes with Few Facets. 229--237.

Steven M. Heilman, Philip Owrutsky, Robert S. Strichartz. Orthogonal Polynomials with Respect to Self-Similar Measures. 238--259.

Édouard Oudet. Approximation of Partitions of Least Perimeter by Γ-Convergence: Around Kelvin’s Conjecture. 260--270.

Franck Leprévost, Michael Pohst, Osmanbey Uzunkol. On the Computation of Class Polynomials with “Thetanullwerte” and Its Applications to the Unit Group Computation. 271--281.

Dror Bar-Natan, Iva Halacheva, Louis Leung, Fionntan Roukema. Some Dimensions of Spaces of Finite Type Invariants of Virtual Knots. 282--287.

Atanas Atanasov, Christopher Lopez, Alexander Perry, Nicholas Proudfoot, Michael Thaddeus. Resolving Toric Varieties with Nash Blowups. 288--303.

V. Bonnaillie-Noël, B. Helffer. Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov–Bohm Hamiltonians on the Square with Application to Minimal Partitions. 304--322.

Tomas Johnson. A Quartic System with Twenty-Six Limit Cycles. 323--328.

Joseph H. Silverman, Katherine E. Stange. Amicable Pairs and Aliquot Cycles for Elliptic Curves. 329--357.

Daniel J. Bates, Luke Oeding. Toward a Salmon Conjecture. 358--370.

Corrigendum. 371--.

Experimental Mathematics, Volume 20, Number 4 (2011)

Thu, 08 Dec 2011 12:59 EST

Contents:

Andreas-Stephan Elsenhans. Rational Points on Some Fano Quadratic Bundles. 373--379.

Elena Fuchs, Katherine Sanden. Some Experiments with Integral Apollonian Circle Packings. 380--399.

Avner Ash, Laura Beltis, Robert Gross, Warren Sinnott. Frequencies of Successive Pairs of Prime Residues. 400--411.

D. D. Long, A. W. Reid. Small Subgroups of ${\sf SL}(3, \mathbb{Z})$. 412--425.

Werner Bley. Numerical Evidence for the Equivariant Birch and Swinnerton-Dyer Conjecture. 426--456.

Gregory S. Warrington. Equivalence Classes for the μ-Coefficient of Kazhdan–Lusztig Polynomials in $S_n$. 457--466.

Martin Deraux, John R. Parker, Julien Paupert. Census of the Complex Hyperbolic Sporadic Triangle Groups. 467--386.

Mehmet Haluk Şengün. On the Integral Cohomology of Bianchi Groups. 487--505.

Experimental Mathematics, Volume 21, Number 1 (2012)

Wed, 30 May 2012 22:20 EDT

Contents:

Reza Rezaeian Farashahi, Igor E. Shparlinksi. . 1--10.

William D. Banks, Francesco Pappalardi, Igor E. Shparlinski. On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields. 11--25.

Moira Chas, Anthony Phillips. Self-Intersection Numbers of Curves in the Doubly Punctured Plane. 26--37.

Emmanuel Kowalski, David Zywina. The Chebotarev Invariant of a Finite Group. 38--56.

Leo T. Butler. Smooth Structures on Eschenburg Spaces: Numerical Computations. 57--64.

Jesús Guillera. Mosaic Supercongruences of Ramanujan Type. 65--68.

Carlos Beltrán, Anton Leykin. Certified Numerical Homotopy Tracking. 69--83.

Josep González, Jorge Jiménez-Urroz. The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms. 84--102.

Experimental Mathematics, Volume 21, Number 2 (2012)

Wed, 30 May 2012 22:20 EDT

Contents:

Michael A. Bennett, Soroosh Yazdani. A Local Version of Szpiro’s Conjecture. 103--116.

Jan H. Bruinier, Fredrik Strömberg. Computation of Harmonic Weak Maass Forms. 117--131.

William D. Banks, Sarah Kang. On Repeated Values of the Riemann Zeta Function on the Critical Line. 132--140.

Pavel Etingof, Sherry Gong, Aldo Pacchiano, Qingchun Ren, Travis Schedler. Computational Approaches to Poisson Traces Associated to Finite Subgroups of ${\rm Sp}_2(\mathbb{C})$. 141--170.

Almar Kaid, Ralf Kasprowitz. Semistable Vector Bundles and Tannaka Duality from a Computational Point of View. 171--188.

Thomas Lam, Lauren Williams. A Markov Chain on the Symmetric Group That Is Schubert Positive?. 189--192.

Valery Alexeev, Ryan Livingston, Joseph Tenini, Maxim Arap, Xiaoyan Hu, Lauren Huckaba, Patrick McFaddin, Stacy Musgrave, Jaeho Shin, Catherine Ulrich. Extended Torelli Map to the Igusa Blowup in Genus 6, 7, and 8. 193--203.

T. D. Browning, K. Van Valckenborgh. Sums of Three Squareful Numbers. 204--211.

Updated: Experimental Mathematics, Volume 21, Number 1 (2012)

Thu, 07 Jun 2012 15:39 EDT

Contents:

Reza Rezaeian Farashahi, Igor E. Shparlinski. . 1--10.

William D. Banks, Francesco Pappalardi, Igor E. Shparlinski. On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields. 11--25.

Moira Chas, Anthony Phillips. Self-Intersection Numbers of Curves in the Doubly Punctured Plane. 26--37.

Emmanuel Kowalski, David Zywina. The Chebotarev Invariant of a Finite Group. 38--56.

Leo T. Butler. Smooth Structures on Eschenburg Spaces: Numerical Computations. 57--64.

Jesús Guillera. Mosaic Supercongruences of Ramanujan Type. 65--68.

Carlos Beltrán, Anton Leykin. Certified Numerical Homotopy Tracking. 69--83.

Josep González, Jorge Jiménez-Urroz. The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms. 84--102.

Updated: Experimental Mathematics, Volume 21, Number 1 (2012)

Tue, 14 Aug 2012 09:10 EDT

Contents:

Reza Rezaeian Farashahi, Igor E. Shparlinksi. On Group Structures Realized by Elliptic Curves over a Fixed Finite Field. 1--10.

William D. Banks, Francesco Pappalardi, Igor E. Shparlinski. On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields. 11--25.

Moira Chas, Anthony Phillips. Self-Intersection Numbers of Curves in the Doubly Punctured Plane. 26--37.

Emmanuel Kowalski, David Zywina. The Chebotarev Invariant of a Finite Group. 38--56.

Leo T. Butler. Smooth Structures on Eschenburg Spaces: Numerical Computations. 57--64.

Jesús Guillera. Mosaic Supercongruences of Ramanujan Type. 65--68.

Carlos Beltrán, Anton Leykin. Certified Numerical Homotopy Tracking. 69--83.

Josep González, Jorge Jiménez-Urroz. The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms. 84--102.

Experimental Mathematics, Volume 21, Number 3 (2012)

Thu, 13 Sep 2012 09:01 EDT

Contents:

Jack Fearnley, Hershy Kisilevsky. Critical Values of Higher Derivatives of Twisted Elliptic $L$-Functions. 213--222.

Gert Almkvist, Jesús Guillera. Ramanujan-like Series for $1/\pi^2$ and String Theory. 223--234.

J örn Steuding, Elias Wegert. The Riemann Zeta Function on Arithmetic Progressions. 235--240.

Stavros Garoufalidis, Christoph Koutschan. The Noncommutative A-Polynomial of $(−2, 3, n)$ Pretzel Knots. 241--251.

Luis D. García-Puente, Nickolas Hein, Christopher Hillar, Abraham Martín del Campo, James Ruffo, Frank Sottile, Zach Teitler. The Secant Conjecture in the Real Schubert Calculus. 252--265.

Takahiro Hayata, Takayuki Oda, Tomoki Yatougo. Zero Cells of the Siegel–Gottschling Fundamental Domain of Degree 2. 266--279.

Milena Hering, Diane Maclagan. The $T$-Graph of a Multigraded Hilbert Scheme. 280--297.

Nathan Barker, Nigel Boston, Ben Fairbairn. A Note on Beauville $p$-Groups. 298--306.

Matthew W. Alderson, Michael O. Rubinstein. Conjectures and Experiments Concerning the Moments of $L (1/2, \chi_d)$. 307--328.

Updated: Experimental Mathematics, Volume 21, Number 1 (2012)

Tue, 18 Sep 2012 13:03 EDT

Contents:

Reza Rezaeian Farashahi, Igor E. Shparlinski. On Group Structures Realized by Elliptic Curves over a Fixed Finite Field. 1--10.

William D. Banks, Francesco Pappalardi, Igor E. Shparlinski. On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields. 11--25.

Moira Chas, Anthony Phillips. Self-Intersection Numbers of Curves in the Doubly Punctured Plane. 26--37.

Emmanuel Kowalski, David Zywina. The Chebotarev Invariant of a Finite Group. 38--56.

Leo T. Butler. Smooth Structures on Eschenburg Spaces: Numerical Computations. 57--64.

Jesús Guillera. Mosaic Supercongruences of Ramanujan Type. 65--68.

Carlos Beltrán, Anton Leykin. Certified Numerical Homotopy Tracking. 69--83.

Josep González, Jorge Jiménez-Urroz. The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms. 84--102.

Experimental Mathematics, Volume 21, Number 4 (2012)

Thu, 20 Dec 2012 16:27 EST

Contents:

Nathan M. Dunfield, Stefan Friedl, Nicholas Jackson. Twisted Alexander Polynomials of Hyperbolic Knots. 329--352.

Per Alexandersson, Boris Shapiro. Discriminants, Symmetrized Graph Monomials, and Sums of Squares. 353--361.

Salman Baig, Chris Hall. Experimental Data for Goldfeld’s Conjecture over Function Fields. 362--374.

David H. Bailey, Jonathan M. Borwein, Cristian S. Calude, Michael J. Dinneen, Monica Dumitrescu, Alex Yee. An Empirical Approach to the Normality of π. 375--384.

Janko Böhm, David Eisenbud, Max J. Nitsche. Decomposition of Semigroup Algebras. 385--394.

Tristram Bogart, Ray Hemmecke, Sonja Petrovíc. Universal Gröbner Bases of Colored Partition Identities. 395--401.

Matthew Begue, Daniel J. Kelleher, Aaron Nelson, Hugo Panzo, Ryan Pellico, Alexander Teplyaev. Random Walks on Barycentric Subdivisions and the Strichartz Hexacarpet. 402--417.

Askar Dzhumadil’daev, Pasha Zusmanovich. Corrigendum to: "The Alternative Operad Is Not Koszul" by Askar Dzhumadil’daev and Pasha Zusmanovich. 418--.