Modular case of Levinson's theorem

DOI10.4064/aa167-3-1zbMath1381.11076arXiv1404.6432OpenAlexW2963530093MaRDI QIDQ5177552

Damien Bernard

Publication date: 12 March 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6432

zbMATH Keywords

modular form\(L\)-functionsshifted convolution sumsproportionLevinsonintegral momentsmollified second momentnon-trivia zeros

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (4)

Zeros of \(\mathrm{GL}_2 \, L\)-functions on the critical line ⋮ A zero density estimate and fractional imaginary parts of zeros for L-functions ⋮ On mean values of mollifiers and \(L\)-functions associated to primitive cusp forms ⋮ Unnamed Item

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