Issue no. 1 Table of Contents

• Non-trivial $Ш$ in the Jacobian of an infinite family of curves of genus 2

  Anna Arnth-Jensen;  E. Victor Flynn

  

  p. 1-13

• Factoring polynomials over global fields

  Karim Belabas;  Mark van Hoeij;  Jürgen Klüners;  Allan Steel

  

  p. 15-39

• Problems and results on the distribution of algebraic points on algebraic varieties

  Enrico Bombieri

  

  p. 41-57

• Artin formalism for Selberg zeta functions of co-finite Kleinian groups

  Eliot Brenner;  Florin Spinu

  

  p. 59-75

• Fonctions zêta des hauteurs

  Régis de la Bretèche

  

  p. 77-95

• Algebraic properties of a family of Jacobi polynomials

  John Cullinan;  Farshid Hajir;  Elizabeth Sell

  

  p. 97-108

• Congruences between modular forms and lowering the level mod ${\ell }^n$

  Luis Dieulefait;  Xavier Taixés i Ventosa

  

  p. 109-118

• Sur la 2-cohomologie non abélienne des modèles réguliers des anneaux locaux henséliens

  Jean-Claude Douai

  

  p. 119-129

• The weight distribution of the functional codes defined by forms of degree 2 on Hermitian surfaces

  Frédéric A. B. Edoukou

  

  p. 131-143

• Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values

  Carsten Elsner;  Shun Shimomura;  Iekata Shiokawa

  

  p. 145-157

• Pretentiousness in analytic number theory

  Andrew Granville

  

  p. 159-173

• Kloosterman sums for prime powers in P-adic fields

  Stanley J. Gurak

  

  p. 175-201

• On the ternary Goldbach problem with primes in arithmetic progressions having a common modulus

  Karin Halupczok

  

  p. 203-213

• Patterns and periodicity in a family of resultants

  Kevin G. Hare;  David McKinnon;  Christopher D. Sinclair

  

  p. 215-234

• On a dynamical Brauer–Manin obstruction

  Liang-Chung Hsia;  Joseph Silverman

  

  p. 235-250

Issue no. 2 Table of Contents

• On the mean square of the divisor function in short intervals

  Aleksandar Ivić

  

  p. 251-261

• Conjugacy classes of series in positive characteristic and Witt vectors.

  Sandrine Jean

  

  p. 263-284

• Some new directions in $p$-adic Hodge theory

  Kiran S. Kedlaya

  

  p. 285-300

• Integral canonical models of Shimura varieties

  Mark Kisin

  

  p. 301-312

• $M_2$-rank differences for partitions without repeated odd parts

  Jeremy Lovejoy;  Robert Osburn

  

  p. 313-334

• Density of rational points on cyclic covers of ${\mathbb{P}}^n$

  Ritabrata Munshi

  

  p. 335-341

• Problems in additive number theory, II: Linear forms and complementing sets

  Melvyn B. Nathanson

  

  p. 343-355

• Landau’s problems on primes

  János Pintz

  

  p. 357-404

• Autour de la conjecture de Zilber-Pink

  Gaël Rémond

  

  p. 405-414

• On Gelfond’s conjecture about the sum of digits of prime numbers

  Joël Rivat

  

  p. 415-422

• Diophantine equations after Fermat’s last theorem

  Samir Siksek

  

  p. 423-434

• Two remarks on the inverse Galois problem for intersective polynomials

  Jack Sonn

  

  p. 435-437

• Capitulation for even $K$-groups in the cyclotomic ${\mathbb{Z}}_p$-extension.

  Romain Validire

  

  p. 439-454

• Permuting the partitions of a prime

  Stéphane Vinatier

  

  p. 455-465

• Computing fundamental domains for Fuchsian groups

  John Voight

  

  p. 467-489

• Galois orbits and equidistribution: Manin-Mumford and André-Oort.

  Andrei Yafaev

  

  p. 491-500

Issue no. 3 Table of Contents

• On the counting function for the generalized Niven numbers

  Ryan Daileda;  Jessica Jou;  Robert Lemke-Oliver;  Elizabeth Rossolimo;  Enrique Treviño

  

  p. 503-515

• Wilson’s theorem

  Chandan Singh Dalawat

  

  p. 517-521

• Oscillation of Mertens’ product formula

  Harold G. Diamond;  Janos Pintz

  

  p. 523-533

• Lamination et antilamination des réseaux euclidiens

  Marc Gindraux

  

  p. 535-557

• Representation of finite abelian group elements by subsequence sums

  David J. Grynkiewicz;  Luz E. Marchan;  Oscar Ordaz

  

  p. 559-587

• Hilbert-Speiser number fields and Stickelberger ideals

  Humio Ichimura

  

  p. 589-607

• A quantitative primitive divisor result for points on elliptic curves

  Patrick Ingram

  

  p. 609-634

• CM liftings of supersingular elliptic curves

  Ben Kane

  

  p. 635-663

• Wintenberger’s functor for abelian extensions

  Kevin Keating

  

  p. 665-678

• Field of moduli versus field of definition for cyclic covers of the projective line

  Aristides Kontogeorgis

  

  p. 679-693

• On an arithmetic function considered by Pillai

  Florian Luca;  Ravindranathan Thangadurai

  

  p. 695-701

• On the closedness of approximation spectra

  Jouni Parkkonen;  Frédéric Paulin

  

  p. 703-712

• Symétries spectrales des fonctions zêtas

  Frédéric Paugam

  

  p. 713-720

• Hyperbolic lattice-point counting and modular symbols

  Yiannis N. Petridis;  Morten S. Risager

  

  p. 721-734

• Absolute norms of $p$-primary units

  Supriya Pisolkar

  

  p. 735-742

• Comportement asympotique des hauteurs des points de Heegner

  Guillaume Ricotta;  Nicolas Templier

  

  p. 743-755

• Markoff numbers and ambiguous classes

  Anitha Srinivasan

  

  p. 757-770

• The optimality of the Bounded Height Conjecture

  Evelina Viada

  

  p. 771-786