On the reciprocity law for the twisted second moment of Dirichlet $L$-functions

DOI10.1090/tran/6771zbMath1368.11097arXiv1607.05595OpenAlexW2263389980MaRDI QIDQ2796080

Sandro Bettin

Publication date: 23 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05595

zbMATH Keywords

Dirichlet \(L\)-functionssecond momentEstermann function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Continued fractions (11A55)

Related Items (11)

LEVEL RECIPROCITY IN THE TWISTED SECOND MOMENT OF RANKIN–SELBERG ‐FUNCTIONS ⋮ THE RECIPROCITY LAW FOR THE TWISTED SECOND MOMENT OF DIRICHLET -FUNCTIONS OVER RATIONAL FUNCTION FIELDS ⋮ Weighted one-level density of low-lying zeros of Dirichlet \(L\)-functions ⋮ Limit laws for rational continued fractions and value distribution of quantum modular forms ⋮ An explicit formula for the second moment of Maass form symmetric square \(L\)-functions ⋮ A congruence sum and rational approximations ⋮ Uniform subconvexity and symmetry breaking reciprocity ⋮ High moments of the Estermann function ⋮ A note on additive twists, reciprocity laws and quantum modular forms ⋮ The triple reciprocity law for the twisted second moments of Dirichlet $L$-functions over function fields ⋮ Effective estimation of some oscillatory integrals related to infinitely divisible distributions

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