The mean square of the product of a Dirichlet \(L\)-function and a Dirichlet polynomial

DOI10.7169/facm/1767zbMath1454.11156arXiv1808.02879OpenAlexW2981679106MaRDI QIDQ2285753

John Brian Conrey, Kannan Soundararajan

Publication date: 9 January 2020

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02879

zbMATH Keywords

momentsmean squareDirichlet \(L\)-functionsasymptotic large sieve

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (2)

Breaking the \(\frac{1}{2}\)-barrier for the twisted second moment of Dirichlet \(L\)-functions ⋮ The size of wild Kloosterman sums in number fields and function fields

Cites Work

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• Zeros of the Riemann zeta function on the critical line
• The sixth power moment of Dirichlet \(L\)-functions
• The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
• Critical zeros of Dirichlet L-functions
• THE SECOND MOMENT OF THE RIEMANN ZETA FUNCTION WITH UNBOUNDED SHIFTS
• The reciprocity law for the twisted second moment of Dirichlet L-functions
• Integral moments of L-functions
• Families of L-functions and 1-level densities

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