Critical zeros of lacunary $L$-functions

DOI10.4064/AA180813-11-11zbMath1451.11092arXiv1607.03288OpenAlexW3027762050MaRDI QIDQ3298884

John Brian Conrey

Publication date: 16 July 2020

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

Full work available at URL: https://arxiv.org/abs/1607.03288

zbMATH Keywords

zeros\(L\)-functionRiemann hypothesisSiegel zerocounting functioncritical linesimple zerosLevinson's methodMollifier

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (3)

Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip ⋮ Analytic ranks of automorphic L$L$‐functions and Landau–Siegel zeros ⋮ Exceptional characters and nonvanishing of Dirichlet \(L\)-functions

Cites Work

• Unnamed Item
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• Rankin-Selberg \(L\)-functions in the level aspect.
• Critical zeros of Dirichlet L-functions
• More than two fifths of the zeros of the Riemann zeta function are on the critical line.
• Spacing of zeros of Hecke L-functions and the class number problem

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