On the mean values of Dirichlet L -functions

DOI10.1112/plms/pdm008zbMath1129.11034arXivmath/0607199OpenAlexW2025982291MaRDI QIDQ5308193

Jonathan P. Keating, Hung Manh Bui

Publication date: 27 September 2007

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607199

zbMATH Keywords

momentszerosrandom matrix theoryconjecturesDirichlet \(L\)-functionsasymptotic formulae

Mathematics Subject Classification ID

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

Related Items (9)

Moments of the Hurwitz zeta function on the critical line ⋮ Riemann zeros and random matrix theory ⋮ Mean square values of Dirichlet \(L\)-functions associated to fixed order characters ⋮ On the splitting conjecture in the hybrid model for the Riemann zeta function ⋮ TRUNCATED PRODUCT REPRESENTATIONS FOR ‐FUNCTIONS IN THE HYPERELLIPTIC ENSEMBLE ⋮ The fourth moment of derivatives of Dirichlet \(L\)-functions in function fields ⋮ EULER–HADAMARD PRODUCTS AND POWER MOMENTS OF SYMMETRIC SQUARE L-FUNCTIONS ⋮ Symmetry transitions in random matrix theory \& \(L\)-functions ⋮ Lower order terms for the one-level density of elliptic curve \(L\)-functions

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