Publications Mathématiques de Besançon

Algèbre et Théorie des Nombres

Issue no. 1 Table of Contents

Avant Propos

Bruno Anglès; Federico Pellarin

p. i
Lifting of Modular Forms

Jitendra Bajpai

p. 5-20
Action of an endomorphism on (the solutions of) a linear differential equation

Lucia Di Vizio

p. 21-39
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks

Thomas Dreyfus; Kilian Raschel

p. 41-80
The digit principle and derivatives of certain L-series

David Goss; Bruno Anglès; Tuan Ngo Dac; Federico Pellarin; Floric Tavares Ribeiro

p. 81-102
An introduction to classical and finite multiple zeta values

Masanobu Kaneko

p. 103-129
An Integral Digit Derivative Basis for Carlitz Prime Power Torsion Extensions

Andreas Maurischat; Rudolph Perkins

p. 131-149
A note on Kawashima functions

Shuji Yamamoto

p. 151-163

Issue no. 2 Table of Contents

Weber’s formula for the bitangents of a smooth plane quartic

Alessio Fiorentino

p. 5-17
On the splitting of the Kummer exact sequence

Jean Gillibert; Pierre Gillibert

p. 19-27
On p-rationality of number fields. Applications – PARI/GP programs

Georges Gras

p. 29-51
On the sup-norm of SL 3 Hecke–Maass cusp forms

Roman Holowinsky; Kevin Nowland; Guillaume Ricotta; Emmanuel Royer

p. 53-80
La constante de Manin et le degré modulaire d’une courbe elliptique
[Manin’s constant and modular degree of an elliptic curve]

Karim Belabas; Dominique Bernardi; Bernadette Perrin-Riou

p. 81-103