On mean values of mollifiers and \(L\)-functions associated to primitive cusp forms

DOI10.1007/s00209-018-2099-9zbMath1469.11308arXiv1609.03738OpenAlexW2964262947MaRDI QIDQ2633084

Dirk Zeindler, Patrick Kühn, Nicolas Robles

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03738

zbMATH Keywords

modular formsautocorrelationholomorphic cusp formDirichlet polynomialmollifierzeros on the critical linegeneralized Möbius functionsratios conjecture technique

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (4)

Zeros of \(\mathrm{GL}_2 \, L\)-functions on the critical line ⋮ The twisted mean square and critical zeros of Dirichlet \(L\)-functions ⋮ More than five-twelfths of the zeros of \(\zeta\) are on the critical line ⋮ Perturbed moments and a longer mollifier for critical zeros of \(\zeta \)

Cites Work

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