Issue no. 1 Table of Contents

Computing Decompositions of Modules over Finite-Dimensional Algebras

Lux, Klaus M. ; Szőke, Magdolna

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p. 1-6

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A Database of Polarized K3 Surfaces

Brown, Gavin

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p. 7-20

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Zeros of Partial Summs of the Riemann Zeta Function

Borwein, Peter ; Fee, Greg ; Ferguson, Ron ; van der Waal, Alexa

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p. 21-40

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Computational Methods for the Construction of a Class of Noetherian Operators

Damiano, Alberto ; Sabadini, Irene ; Struppa, Daniele C.

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p. 41-55

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Stirling Numbers and Spin-Euler Polynomials

Eelbode, D.

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p. 55-66

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Clusters, Currents, and Whitehead's Algorithm

Kapovich, Ilya

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p. 67-76

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A Tentative Classification of Bijective Polygonal Piecewise Isometries

Bressaud, X. ; Poggiaspalla, G.

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p. 77-100

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Counting Balanced Boolean Functions in $n$ Variables with Bounded Degree

Cusick, Thomas W. ; Cheon, Younhwan

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p. 101-106

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Exceptional Regions and Associated Exceptional Hyperbolic 3-Manifolds, with an appendix by Alan W. Reid

Champanerkar, Abhijit ; Lewis, Jacob ; Lipyanskiy, Max ; Meltzer, Scott

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p. 106-118

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Supersingular Galois Representations and a Generalization of Conjecture of Serre

Doud, Darrin

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p. 119-128

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Observations from the 8-Tetrahedron Nonorientable Census

Burton, Benjamin A.

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p. 129-144

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The Symmetric Subset Problem in Continuous Ramsey Theory

Martin, Greg ; O'Bryant, Kevin

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p. 145-166

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The Minimum Dilatation of Pseudo-Ansonov 5-Braids

Ham, Ji-Young ; Song, Won Taek

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p. 167-180

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On Hyperbolic Plateaus of the Hénon Map

Arai, Zin

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p. 181-188

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Matrix-Valued Orthogonal Polynomials Related to $SU({\ATI N}\,+\,1)$, Their Algebras of Differential Operators, and the Corresponding Curves

Grünenbaum, F. Alberto ; de la Iglesia, Manuel D.

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p. 189-208

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Pseudoprime Statistics to $10^{19}$

Andersen, Jens Kruse ; Dubner, Harvey

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p. 209-214

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Cylinder Renormalization of Siegel Disks

Gaidashev, Denis ; Yampolsky, Michael

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p. 215-226

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Newton Polytopes of Two-Dimensional Hidden Markov Models

Wierer, Jay ; Boston, Nigel

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p. 227-238

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Secant Dimensions of Minimal Orbits: Computations and Conjectures

Baur, Karin ; Draisma, Jan ; de Graaf, Willem A.

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p. 239-251

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On the Number of Cusps of Rational Cuspidal Plane Curves

Piontkowski, Jens

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p. 251-256

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Hypergeometric Forms for Ising-Class Integrals

Bailey, D. H. ; Borwein, D. ; Borwein, J. M. ; Crandall, R. E.

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p. 257-276

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Tropical Polytopes and Cellular Resolutions

Develin, Mike ; Yu, Josephine

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p. 277-292

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Jointly Periodic Points in Cellular Automata: Computer Explorations and Conjectures

Boyle, Mike ; Lee, Bryant

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p. 293-302

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Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes

Cremona, J. E. ; Lingham, M. P.

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p. 303-312

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The $D_4$ Root System Is Not Universally Optimal

Cohn, Henry ; Conway, John H. ; Elkies, Noam D. ; Kumar, Abhinav

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p. 313-320

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Schwarz Reflection Geometry II: Local and Global Behavior of the Exponential Map

Calini, Annalisa ; Langer, Joel

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p. 321-346

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On the Efficiency of the Simple Groups of Order Less Than a Million and Their Covers

Campbell, Colin M. ; Havas, George ; Ramsay, Colin ; Robertson, Edmund F.

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p. 347-358

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On the Integral Carathéodory Property

Bruns, Winfried

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p. 359-365

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Equality of Polynomial and Field Discriminants

Ash, Avner ; Brakenhoff, Jos ; Zarrabi, Theodore

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p. 367-374

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A Hardy-Ramanujan Formula for Lie Algebras

Ritter, Gordon

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p. 375-384

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Elliptic Curves as Attractors in ${\mathbb P}^2$, Part 1: Dynamics

Bonifant, Araceli ; Dabija, Marius ; Milnor, John

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p. 385-420

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An Explicit Formula for the Arithmetic--Geometric Mean in Genus 3

Lehavi, D. ; Ritzenthaler, C.

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p. 421-440

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On the Singularization of the Two-Dimensional Jacobi--Perron Algorithm

Schratzberger, B.

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p. 441-454

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Lenstra's Constant and Extreme Forms in Number Fields

Coulangeon, R. ; Icaza, M. I. ; O'Ryan, M.

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p. 455-462

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Constructing Hyperbolic Polyhedra Using Newton's Method

Roeder, Roland K. W.

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p. 463-492

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Sparse Representation for Cyclotomic Fields

Fieker, Claus

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p. 493-500

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The Propositional Theory of Closure

McCluskey, A. E. ; McIntyre, D. W. ; Watson, W. S.

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p. 501-512

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