Non-vanishing of high derivatives of Dirichlet \(L\)-functions at the central point

DOI10.1006/jnth.1999.2460zbMath1001.11032OpenAlexW2021919514WikidataQ57268263 ScholiaQ57268263MaRDI QIDQ1970622

Jeffrey M. Vanderkam, Philippe Michel

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2460

zbMATH Keywords

nonvanishingDirichlet \(L\)-functionshigher derivativesmollifiercentral point

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20)

Related Items (13)

Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point ⋮ NON-VANISHING OF DIRICHLET L-FUNCTIONS AT THE CENTRAL POINT ⋮ Applications of theL-functions ratios conjectures ⋮ Breaking the \(\frac{1}{2}\)-barrier for the twisted second moment of Dirichlet \(L\)-functions ⋮ Lectures on applied ℓ-adic cohomology ⋮ CENTRAL VALUES OF DERIVATIVES OF DIRICHLET L-FUNCTIONS ⋮ Average nonvanishing of Dirichlet \(L\)-functions at the central point ⋮ On central \(L\)-derivative values of automorphic forms ⋮ 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 ⋮ Nonvanishing of Dirichlet \(L\)-functions. II

Cites Work

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• Zeros of derivatives of Riemann's xi-function on the critical line
• The rank of quotients of \(J_0(N)\)
• Zeroes of zeta functions and symmetry
• Non-vanishing of high derivatives of automorphic L-functions at the center of the critical strip
• Mean‐values of the Riemann zeta‐function
• Zeros of Dirichlet $L$-functions
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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