Issue no. 1 Table of Contents

• 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

Issue no. 2 Table of Contents

• 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