Results 61 to 70 of about 162 (133)

Estimates of automorphic cusp forms over quaternion algebras

open access: yes, 2018
In this paper, using methods from geometric analysis and theory of heat kernels, we derive qualitative estimates of automorphic cusp forms defined over quaternion algebras. Using which, we prove an average version of the holomorphic QUE conjecture.
Baskar Balasubramanyam   +1 more
core   +1 more source

p-adic vertex operator algebras. [PDF]

open access: yesRes Number Theory, 2023
Franc C, Mason G.
europepmc   +1 more source

Modular forms and Hecke operators

open access: yes, 1995
The concept of Hecke operators was so simple and natural that, soon after Hecke's work, scholars made the attempt to develop a Hecke theory for modular forms, such as Siegel modular forms.
Andrianov, A N, Zhuravlev, V G
core  

Hyperbolic band theory. [PDF]

open access: yesSci Adv, 2021
Maciejko J, Rayan S.
europepmc   +1 more source

Fourier coefficients of half-integral weight modular forms in arithmetic progressions

open access: yes
We study the probabilistic behavior of sums of Fourier coefficients in arithmetic progressions. We prove a result analogous to previous work of Fouvry-Ganguly-Kowalski-Michel and Kowalski-Ricotta in the context of half-integral weight holomorphic cusp ...
DARREYE, Corentin
core   +1 more source

Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers. [PDF]

open access: yesProc Natl Acad Sci U S A, 2020
Beckwith O, Raum M, Richter OK.
europepmc   +1 more source

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