Power mean-values for Dirichlet's polynomials and the Riemann zeta-function, II

DOI10.4064/aa-43-3-305-312zbMath0531.10041OpenAlexW287580976MaRDI QIDQ3312319

Jean-Marc Deshouillers

Publication date: 1984

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205910

zbMATH Keywords

Riemann zeta-functionDirichlet polynomialsLindelöf hypothesisestimates for sums of incomplete Kloosterman sumspower mean values

Mathematics Subject Classification ID

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

Related Items (15)

On the zeros of Riemann's zeta-function on the critical line ⋮ An explicit density estimate for Dirichlet $L$-series ⋮ Higher moments of certain \(L\)-functions on the critical line ⋮ On mean values of mollifiers and \(L\)-functions associated to primitive cusp forms ⋮ The mean square of the product of the Riemann zeta-function with Dirichlet polynomials ⋮ AN APPLICATION OF GENERALIZED MOLLIFIERS TO THE RIEMANN ZETA-FUNCTION ⋮ Twisted second moments of the Riemann zeta-function and applications ⋮ Almost primes in almost all very short intervals ⋮ A quadratic divisor problem and moments of the Riemann zeta-function ⋮ On a mollifier of the perturbed Riemann zeta-function ⋮ The twisted mean square and critical zeros of Dirichlet \(L\)-functions ⋮ More than five-twelfths of the zeros of \(\zeta\) are on the critical line ⋮ Mean-value of the Riemann zeta-function on the critical line ⋮ Perturbed moments and a longer mollifier for critical zeros of \(\zeta \) ⋮ Zeros of the Riemann zeta function on the critical line

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