Results 1 to 10 of about 23 (23)

On the local $L^2$ -Bound of the Eisenstein series

Forum of Mathematics, Sigma
We study the growth of the local $L^2$ -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a poly-logarithmic bound on an average, for a large class of reductive groups.
Subhajit Jana, Amitay Kamber
doaj   +1 more source

Doubling constructions and tensor product L-functions: coverings of the symplectic group

Forum of Mathematics, Sigma
In this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $
Eyal Kaplan
doaj   +1 more source

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
doaj   +1 more source

Fourier expansion along geodesics on Riemann surfaces

Open Mathematics, 2014
Deitmar Anton
doaj   +1 more source

Rationality for isobaric automorphic representations: the CM-case. [PDF]

Mon Hefte Math, 2018
Grobner H.
europepmc   +1 more source

On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations. [PDF]

Mon Hefte Math
Grobner H, Žunar S.
europepmc   +1 more source

Whole genome sequencing and de novo assembly of Staphylococcus pseudintermedius: a pangenome approach to unravelling pathogenesis of canine pyoderma

Veterinary Dermatology, Volume 32, Issue 6, Page 654-663, December 2021., 2021
Background Staphylococcus pseudintermedius is the main aetiological agent of canine pyoderma. Whole genome sequencing is the most comprehensive way of obtaining relevant genomic information about micro‐organisms. Hypothesis/Objectives Oxford Nanopore technology enables quality sequencing and de novo assembly of the whole genome of S.
Lluís Ferrer, Rocío García‐Fonticoba, Daniel Pérez, Joaquim Viñes, Norma Fàbregas, Sergi Madroñero, Gabriele Meroni, Piera A. Martino, Sofía Martínez, M. Laura Maté, Sergio Sánchez‐Bruni, Anna Cuscó, Lourdes Migura‐García, Olga Francino   +13 more
wiley   +1 more source

The false theta functions of Rodgers and their modularity

Bulletin of the London Mathematical Society, Volume 53, Issue 4, Page 963-980, August 2021., 2021
Abstract In this survey article, we explain how false theta functions can be embedded into a modular framework and show some of the applications of this modularity.
Kathrin Bringmann
wiley   +1 more source

Every 7‐Dimensional abelian variety over Qp has a reducible ℓ‐adic Galois representation

Bulletin of the London Mathematical Society, Volume 53, Issue 3, Page 917-920, June 2021., 2021
Abstract Let K be a complete, discretely valued field with finite residue field and GK its absolute Galois group. The subject of this note is the study of the set of positive integers d for which there exists an absolutely irreducible ℓ‐adic representation of GK of dimension d with rational traces on inertia.
Lambert A'Campo
wiley   +1 more source

Test vectors for non‐Archimedean Godement–Jacquet zeta integrals

Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 92-99, February 2021., 2021
Abstract Given an induced representation of Langlands type (π,Vπ) of GLn(F) with F non‐Archimedean, we show that there exist explicit choices of matrix coefficient β and Schwartz–Bruhat function Φ for which the Godement–Jacquet zeta integral Z(s,β,Φ) attains the L‐function L(s,π).
Peter Humphries
wiley   +1 more source