On the uniform distribution of the zero ordinates of the $L-$function associated with $θ(z)^{-3}\,η(2z)^{12}$

Fuente: arXiv
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Autore principale: Ribeiro, Pedro
Natura: Preprint
Pubblicazione: 2024
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author Ribeiro, Pedro
author_facet Ribeiro, Pedro
contents We show that the ordinates of the nontrivial zeros of certain $L-$functions attached to half-integral weight cusp forms are uniformly distributed modulo one.
format Preprint
id arxiv_https___arxiv_org_abs_2407_14173
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the uniform distribution of the zero ordinates of the $L-$function associated with $θ(z)^{-3}\,η(2z)^{12}$
Ribeiro, Pedro
Number Theory
We show that the ordinates of the nontrivial zeros of certain $L-$functions attached to half-integral weight cusp forms are uniformly distributed modulo one.
title On the uniform distribution of the zero ordinates of the $L-$function associated with $θ(z)^{-3}\,η(2z)^{12}$
topic Number Theory
url https://arxiv.org/abs/2407.14173