Sommaire du Fascicule no. 1

• Badly approximable numbers, Kronecker’s theorem, and diversity of Sturmian characteristic sequences

  Dmitry Badziahin ;  Jeffrey Shallit

  

  p. 1-15

• Birational Nevanlinna Constants, Beta Constants, and Diophantine Approximation to Closed Subschemes

  Paul Vojta

  

  p. 17-61

• Approximation of values of algebraic elements over the ring of power sums

  Clemens Fuchs ;  Sebastian Heintze

  

  p. 63-86

• Sato–Tate Distributions of Catalan Curves

  Heidi Goodson

  

  p. 87-113

• Extremal Sidon Sets are Fourier Uniform, with Applications to Partition Regularity

  Miquel Ortega ;  Sean Prendiville

  

  p. 115-134

• Curves of fixed gonality with many rational points

  Floris Vermeulen

  

  p. 135-149

• Brauer–Manin obstruction for zero-cycles on certain varieties

  Evis Ieronymou

  

  p. 151-166

• Classical forms of weight one in ordinary families

  Eric Stubley

  

  p. 167-217

• Spherical Heron triangles and elliptic curves

  Tinghao Huang ;  Matilde Lalín ;  Olivier Mila

  

  p. 219-246

• On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences

  Abdulmuhsin Alfaraj

  

  p. 247-258

• Lower bounds for regulators of number fields in terms of their discriminants

  Shabnam Akhtari ;  Jeffrey D. Vaaler

  

  p. 259-282

• Galois representations over pseudorigid spaces

  Rebecca Bellovin

  

  p. 283-334

Sommaire du Fascicule no. 2

• Potential diagonalisability of pseudo-Barsotti–Tate representations

  Robin Bartlett

  

  p. 335-371

• Generalized Pell’s equations and Weber’s class number problem

  Hyuga Yoshizaki

  

  p. 373-391

• New $p$-adic hypergeometric functions and syntomic regulators

  Masanori Asakura

  

  p. 393-451

• Numbers which are only orders of abelian or nilpotent groups

  Matthew Just

  

  p. 453-466

• Rational points on symmetric squares of constant algebraic curves over function fields

  Jennifer Berg ;  José Felipe Voloch

  

  p. 467-480

• Sur le biais d’une loi de probabilité relative aux entiers friables

  Gérald Tenenbaum

  

  p. 481-493

• $\mathbb{Q}$-curves and the Lebesgue–Nagell equation

  Michael A. Bennett ;  Philippe Michaud-Jacobs ;  Samir Siksek

  

  p. 495-510

• Generalization of a density theorem of Khinchin and diophantine approximation

  József Beck ;  William W. L. Chen

  

  p. 511-542

• Computing Euclidean Belyi maps

  Matthew Radosevich ;  John Voight

  

  p. 543-565

• Homothéties explicites des représentations $\ell$-adiques

  Aurélien Galateau ;  César Martínez

  

  p. 567-590

• Asymptotic behavior of class groups and cyclotomic Iwasawa theory of elliptic curves

  Toshiro Hiranouchi ;  Tatsuya Ohshita

  

  p. 591-657

Sommaire du Fascicule no. 3

• Computing the Cassels-Tate Pairing on the Selmer group of a Richelot Isogeny

  Jiali Yan

  

  p. 659-674

• Explicit Reciprocity Laws for Formal Drinfeld Modules

  Marwa Ala Eddine

  

  p. 675-695

• Ensembles de petite somme, structure de sous-criticité

  Robin Riblet

  

  p. 697-749

• Sandpile groups of supersingular isogeny graphs

  Nathanaël Munier ;  Ari Shnidman

  

  p. 751-774

• A note on weighted simultaneous Diophantine approximation on manifolds

  Demi Allen ;  Baowei Wang

  

  p. 775-794

• Mahler measure of $P_d$ polynomials

  Mahya Mehrabdollahei

  

  p. 795-817

• An uncountable Mittag-Leffler condition with an application to non-archimedean locally convex vector spaces

  Andrea Pulita

  

  p. 819-840

• The size function for imaginary cyclic sextic fields

  Ha Thanh Nguyen Tran ;  Peng Tian ;  Amy Feaver

  

  p. 841-866

• Unit Reducible Fields and Perfect Unary Forms

  Alar Leibak ;  Christian Porter ;  Cong Ling

  

  p. 867-895

• Reverse engineered Diophantine equations over $\mathbb{Q}$

  Katerina Santicola

  

  p. 897-904

• Abelian geometric fundamental groups for curves over a $p$-adic field

  Evangelia Gazaki ;  Toshiro Hiranouchi

  

  p. 905-946

• A geometric approach to the Cohen-Lenstra heuristics

  Aaron Landesman

  

  p. 947-997

• The exact order of discrepancy for Levin’s normal number in base 2

  Roswitha Hofer ;  Gerhard Larcher

  

  p. 999-1023