Moments of the Dedekind zeta function and other non-primitiveL-functions

DOI10.1017/S030500411900046XzbMath1505.11143arXiv1303.6119OpenAlexW2983594669MaRDI QIDQ4958682

Winston Heap

Publication date: 14 September 2021

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

Full work available at URL: https://arxiv.org/abs/1303.6119

zbMATH Keywords

Galois extensionsArtin \(L\)-functionsDedekind-\(\zeta\)-functionsestimation of sums and integrals

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Zeta functions and (L)-functions of number fields (11R42) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Relations with random matrices (11M50)

Related Items (3)

Moments of the Hurwitz zeta function on the critical line ⋮ On the splitting conjecture in the hybrid model for the Riemann zeta function ⋮ An inequality of Hardy-Littlewood type for Dirichlet polynomials

Cites Work

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• Random matrix theory and \(\zeta(1/2+it)\).

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