On higher congruences between automorphic forms
, 2014 We prove a commutative algebra result which has consequences for congruences between automorphic forms modulo prime powers. If C denotes the congruence module for a fixed automorphic Hecke eigenform \pi_0 we prove an exact relation between the p-adic ...
Klosin, K., Berger, T., Kramer, K.
core +1 more source
Lifting of vector-valued automorphic forms [PDF]
Recently, the first author [1] showed that the admissible vector-valued automorphic forms lift to the admissible ones. In this article, we study the lifts for the logarithmic vector-valued automorphic forms and explicitly compute the Fourier coefficients
Bhakta, Subham, Bajpai, Jitendra
core +1 more source
Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
europepmc +1 more source
A local-global question in automorphic forms
, 2013 In this paper, we consider the SL(2) analogue of two well-known theorems about period integrals of automorphic forms on GL(2): one due to Harder-Langlands-Rapoport about non-vanishing of period integrals on GL(2)(A F) of cuspidal automorphic ...
PRASAD, D +3 more
core +1 more source
Kabirian-based optinalysis: A conceptually grounded framework for symmetry/asymmetry, similarity/dissimilarity and identity/unidentity estimations in mathematical structures and biological sequences. [PDF]
MethodsX, 2023 Abdullahi KB.
europepmc +1 more source
Automorphic forms and string theory: Small automorphic representations and non-perturbative effects [PDF]
, 2017 This compilation thesis stems from a project with the purpose of determining non-perturbative contributions to scattering amplitudes in string theory carrying important information about instantons, black hole quantum states and M-theory.
Gustafsson, Henrik +1 more
core
Overconvergent algebraic automorphic forms
, 2008 I present a general theory of overconvergent p-adic automorphic forms for reductive algebraic groups whose real points are compact (or, more generally, whose arithmetic subgroups are finite, as in the work of Gross).
Loeffler, David
core
Maass's converse theorem and a lifting construction of automorphic forms on real hyperbolic spaces (Automorphic Forms, Automorphic L-Functions and Related Topics) [PDF]
, 2017 This short note is a write-up of the talk presented by the first named author in the RIMS workshop 2016 "Automorphic forms, Automorphic L-functions and Related topics ".
Pitale, Ameya, Narita, Hiro-aki
core
Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Proc Natl Acad Sci U S A, 2021 Allen PB, Khare CB, Thorne JA.
europepmc +1 more source
Definite orthogonal modular forms: computations, excursions, and discoveries. [PDF]
Res Number Theory, 2022 Assaf E +5 more
europepmc +1 more source