Infinitely many zeros of additively twisted \(L\)-functions on the critical line

DOI10.1016/j.jnt.2023.06.014arXiv2210.02294OpenAlexW4384831988MaRDI QIDQ6046941

Doyon Kim

Publication date: 6 September 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.02294

zbMATH Keywords

Hardy-Littlewood methodholomorphic modular formsmodular forms of half integral weightzeros of L-function

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

• Zeros of L-functions attached to Maass forms
• Some remarks on odd Maass wave forms (and a correction to [1)]
• Distributions and analytic continuation of Dirichlet series
• Zeta functions of ideal classes in quadratic fields and their zeros on the critical line
• On modular forms of half integral weight
• Zeros of $L$-functions attached to cusp forms of half-integral weight
• Zeros of L-functions attached to modular forms of half-integral weight

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