On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series
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Publication:548086
DOI10.1007/s00605-010-0211-2zbMath1278.11081OpenAlexW2075201753MaRDI QIDQ548086
Publication date: 28 June 2011
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-010-0211-2
Eisenstein seriesFourier coefficientsDedekind eta functionDirichlet \(L\)-functionsperiodic functionsLipschitz type summation formula
(zeta (s)) and (L(s, chi)) (11M06) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Dedekind eta function, Dedekind sums (11F20)
Related Items (13)
RAMANUJAN SUMS AND THE BURGESS ZETA FUNCTION ⋮ Transformation formulas of a character analogue of $\log \theta _{2}(z)$ ⋮ Distribution of averages of Ramanujan sums ⋮ Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums ⋮ Analytic continuation and asymptotics of Dirichlet series with partitions ⋮ Evaluations of a weighted average of Gauss sums ⋮ Averages of values of 𝐿-series ⋮ On linear combinations of special values of \(L\)-functions ⋮ On the mean square average of special values of \(L\)-functions ⋮ Series representations in the spirit of Ramanujan ⋮ The mean value of the generalized Dirichlet L-functions with the weight of the Gauss sums ⋮ Special values of the Riemann zeta function capture all real numbers ⋮ Discretization of prime counting functions, convexity and the Riemann hypothesis
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