Publications Mathématiques de Besançon

Algèbre et Théorie des Nombres

Issue no. 1 Table of Contents

Avant Propos
Bruno Anglès; Federico Pellarin
Lifting of Modular Forms
Jitendra Bajpai
Action of an endomorphism on (the solutions of) a linear differential equation
Lucia Di Vizio
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks
Thomas Dreyfus; Kilian Raschel
The digit principle and derivatives of certain L-series
David Goss; Bruno Anglès; Tuan Ngo Dac; Federico Pellarin; Floric Tavares Ribeiro
An introduction to classical and finite multiple zeta values
Masanobu Kaneko
An Integral Digit Derivative Basis for Carlitz Prime Power Torsion Extensions
Andreas Maurischat; Rudolph Perkins
A note on Kawashima functions
Shuji Yamamoto

Issue no. 2 Table of Contents

Weber’s formula for the bitangents of a smooth plane quartic
Alessio Fiorentino
On the splitting of the Kummer exact sequence
Jean Gillibert; Pierre Gillibert
On p-rationality of number fields. Applications – PARI/GP programs
Georges Gras
On the sup-norm of SL 3 Hecke–Maass cusp forms
Roman Holowinsky; Kevin Nowland; Guillaume Ricotta; Emmanuel Royer
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