1.6k citations
- Université Paris-SudFR639 papers
- Centre National de la Recherche ScientifiqueFR621 papers
- Université Paris-SaclayFR464 papers
- École Normale Supérieure - PSLFR59 papers
- Département de mathématiques et applicationsFR53 papers
- Laboratoire de Mathématiques Blaise PascalFR51 papers
- Université Paris CitéFR48 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR47 papers
- École PolytechniqueFR46 papers
- Sorbonne UniversitéFR43 papers
- Institut FourierFR42 papers
- Institut Universitaire de FranceFR41 papers
7 papers · 2 filters
Low-lying zeros in families of holomorphic cusp forms: the weight aspect
Lucile Devin, Daniel Fiorilli, Anders Södergren
We study low-lying zeros of -functions attached to holomorphic cusp forms of level and large weight. In this family, the Katz--Sarnak heuristic with orthogonal symmetry type…
On Siegel's problem for E-functions
S. Fischler, T. Rivoal
Siegel defined in 1929 two classes of power series, the E-functions and G-functions, which generalize the Diophantine properties of the exponential and logarithmic functions respec…
Discrete series multiplicities for classical groups over Z and level 1 algebraic cusp forms
Gaëtan Chenevier, Olivier Taïbi
The aim of this paper is twofold. First, we introduce a new method for evaluating the multiplicity of a given discrete series in the space of level automorphic forms of a split…
Siegel modular forms of weight 13 and the Leech lattice
Gaëtan Chenevier, Olivier Taïbi
For and , there is a nonzero alternating -multilinear form on the lattice, unique up to a scalar, which is invariant by the orthogonal group of ${\…
Irrationality of values of L-functions of Dirichlet characters
Stéphane Fischler
In a recent paper with Sprang and Zudilin, the following result was proved: if is large enough in terms of , then at least $2^{(1-\varepsilon)\frac{\log a}{\log…
Obstructions to weak approximation for reductive groups over -adic function fields
Yisheng Tian
We establish arithmetic duality theorems for short complexes associated to reductive groups over -adic function fields. Using dualities, we deduce obstructions to weak approxima…