L-Functions with n-th-Order Twists

DOI10.1093/imrn/rns257zbMath1328.11090arXiv1112.1650OpenAlexW2963914136MaRDI QIDQ3195607

Leo Goldmakher, Benoît Louvel, Valentin Blomer

Publication date: 20 October 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1650

zbMATH Keywords

large sievesecond momentzero-densitydouble Dirichlet seriesHecke \(L\)-functions, \(n\)-th order charactersnonvanishing at critical point

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42) Sieves (11N35) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (12)

Average values of quadratic Hecke character sums ⋮ Average Bateman–Horn for Kummer polynomials ⋮ First moment of central values of quadratic Hecke L-functions in the Gaussian field ⋮ Ratios conjecture for quadratic Hecke \(L\)-functions in the Gaussian field ⋮ LARGE VALUES OF FOR TH ORDER CHARACTERS AND APPLICATIONS TO CHARACTER SUMS ⋮ Bounds for discrete moments of Weyl sums and applications ⋮ Value-distribution of quartic Hecke \(L\)-functions ⋮ Primes $p \equiv 1 \bmod{d}$ and $a^{(p-1)/d} \equiv 1 \bmod{p}$} ⋮ Moments of quadratic Hecke \(L\)-functions of imaginary quadratic number fields ⋮ Moments of central values of cubic Hecke \(L\)-functions of \(\mathbb{Q}(i)\) ⋮ First moment of Hecke \(L\)-functions with quartic characters at the central point ⋮ Value-distribution of cubic Hecke \(L\)-functions

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