Sommaire du Fascicule no. 1

Diophantine Equations over Global Functions Fields II: R-Integral Solutions of Thue Equations

GaÁl, IstvÁn ; Pohst, Michael

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p. 1-6

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On the Computation of Clebsch-Gordan Coefficients and the Dilation Effect

De Loera, Jesús A. ; McAllister, Tyrrell B.

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p. 7-19

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The Probability That a Random Monic p-adic Polynomial Splits

Buhler, Joe ; Goldstein, Daniel ; Moews, David ; Rosenberg, Joel

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p. 21-32

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Fractals and the Base Eigenvalue of the Laplacian on Certain Noncompact Surfaces

Baragar, Arthur

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p. 33-42

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Determination of the Best Constant in an Inequality of Hardy, Littlewood, and Pólya

Peachey, T. C. ; Enticott, C. M.

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p. 43-50

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Drawing Bers Embeddings of the Teichmüller Space of Once-Punctured Tori

Komori, Yohei ; Sugawa, Toshiyuki ; Wada, Masaaki ; Yamashita, Yasushi

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p. 51-60

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OPTi's Algorithm for Discreteness Determination

Wada, Masaaki

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p. 61-66

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Random Matrix Theory and the Fourier Coefficients of Half-Integral-Weight Forms

Conrey, J.B. ; Keating, J. P. ; Rubenstein, M. O. ; Snaith, N. C.

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p. 67-82

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A New Method to Obtain Series for $1 / \pi$ and $1 / \pi^2$

Guillera, Jesús

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p. 83-89

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Nonlinear Elliptic Partial Difference Equations on Graphs

Neuberger, John M.

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p. 91-107

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Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron

De Leo, Roberto

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p. 109-124

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The Superpolynomial for Knot Homologies

Dunfield, Nathan M. ; Gukov, Sergei ; Rasmussen, Jacob

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p. 129-160

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Obtuse Triangular Billiards I: Near the $(2,3,6)$ Triangle

Schwartz, Richard Evan

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p. 161-182

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Searching for Large Elite Primes

Müller, Tom

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p. 183-186

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Disturbing the Dyson Conjecture (in a GOOD Way)

Sills, Andrew V. ; Zeilberger, Doron

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p. 187-192

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Fast Searching for Andrews-Curtis Trivializations

Bowman, R. Sean ; McCaul, Stephen B.

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p. 193-198

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Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds

Ruffo, Jim ; Sivan, Yuval ; Soprunova, Evgenia ; Sottile, Frank

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p. 199-222

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The Mathieu Group $M_{12}$ and Its Pseudogroup Extension $M_{13}$

Conway, John H. ; Elkies, Noam D. ; Martin, Jeremy L.

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p. 223-236

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Complexity of 4-Manifolds

Constantino, Francesco

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p. 237-250

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Abundant Numbers and the Riemann Hypothesis

Briggs, Keith

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p. 251-256

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Investigations of Zeros near the Central Point of Elliptic Curve $L$-Functions, with an appendix by Eduardo Dueñez

Miller, Steven J.

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p. 257-280

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Experimental Determination of Apéry-like Identities for $\zeta(2n+2)$

Bailey, David H. ; Borwein, Jonathan M. ; Bradley, David M.

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p. 281-290

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Computing Varieties of Representations of Hyperbolic $3$-Manifolds into $\SLfR$

Cooper, Daryl ; Long, Darren ; Thistlethwaite, Morwen

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p. 291-306

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New Conjectural Lower Bounds on the Optimal Density of Sphere Packings

Torquato, S. ; Stillinger, F. H.

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p. 307-332

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New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions

Antunes, Pedro ; Freitas, Pedro

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p. 333-342

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Broken-Cycle-Free Subgraphs and the Log-Concavity Conjecture for Chromatic Polynomials

Lundow, P. H. ; Markström, K.

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p. 343-354

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On the Distribution of Analytic ${\sqrt{|\sha|}}$ Values on Quadratic Twists of Elliptic Curves

Quattrini, Patricia L.

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p. 355-366

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Combinatorial Random Walks on 3-Manifolds

Banagl, Markus

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p. 367-381

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Artin's Conjecture, Turing's Method, and the Riemann Hypothesis

Booker, Andrew R.

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p. 385-408

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A Class of Conjectured Series Representations for $1 / \pi$

Guillera, Jesús

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p. 409-414

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Heuristics for the Brauer--Manin Obstruction for Curves

Poonen, Bjorn

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p. 415-420

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Modeling Snow Crystal Growth I: Rigorous Results for Packard's Digital Snowflakes

Gravner, Janko ; Griffeath, David

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p. 421-444

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The Nucleus of the Free Alternative Algebra

Hentzel, I. R. ; Peresi, L. A.

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p. 445-470

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Prehomogeneous Spaces Associated with Nilpotent Orbits in Simple Real Lie Algebras $\E_{6(6)}$ and $\E_{6(-26)}$ and Their Relative Invariants

Jackson, Steven Glenn ; Noël, Alfred G.

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p. 455-470

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On Simultaneous Arithmetic Progressions on Elliptic Curves

García-Selfa, Irene ; Tornero, José M.

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p. 471-478

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Some Geometry and Combinatorics for the $S$-Invariant of Ternary Cubics

Wilson, P. M. H.

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p. 479-490

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Fold Maps from the Sphere to the Plane

Hacon, D. ; Mendes de Jesus, C. ; Fuster, M. C. Romero

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p. 491-498

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Zeros of $\{-1,0,1\}$ Power Series and Connectedness Loci for Self-Affine Sets

Shmerkin, Pablo ; Solomyak, Boris

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p. 499-511

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