CENTRAL VALUES OF DERIVATIVES OF DIRICHLET L-FUNCTIONS

DOI10.1142/S1793042111004125zbMath1234.11108arXiv0910.2051OpenAlexW2949478412MaRDI QIDQ5392205

Micah B. Milinovich, Hung Manh Bui

Publication date: 8 April 2011

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

Full work available at URL: https://arxiv.org/abs/0910.2051

zbMATH Keywords

Dirichlet \(L\)-functionsmollifier methodnon-vanishing of \(L\)-functions

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)

Related Items (8)

Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point ⋮ NON-VANISHING OF DIRICHLET L-FUNCTIONS AT THE CENTRAL POINT ⋮ One-level density estimates for Dirichlet \(L\)-functions with extended support ⋮ Average nonvanishing of Dirichlet \(L\)-functions at the central point ⋮ Upper bounds for the moments of derivatives of Dirichlet \(L\)-functions ⋮ TWISTS OF AUTOMORPHIC L-FUNCTIONS AT THE CENTRAL POINT ⋮ Exceptional characters and nonvanishing of Dirichlet \(L\)-functions ⋮ Shifted Euler constants and a generalization of Euler-Stieltjes constants

Cites Work

• Unnamed Item
• Mean values with cubic characters
• Zeros of derivatives of Riemann's xi-function on the critical line
• Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac{1}{2}\)
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• Non-vanishing of high derivatives of Dirichlet \(L\)-functions at the central point
• Applications of theL-functions ratios conjectures
• Random matrix theory and \(L\)-functions at \(s=1/2\).
• Random matrix theory and \(\zeta(1/2+it)\).

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