A note on the mean square value of the Dedekind sums

DOI10.1023/A:1006724724840zbMath0963.11049MaRDI QIDQ5932672

Wen Peng Zhang

Publication date: 12 June 2001

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Dedekind sumDirichlet \(L\)-functionmean square valuemean value theorem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Dedekind eta function, Dedekind sums (11F20)

Related Items (30)

On Lehmer’s problem and Dedekind sums ⋮ Mean value of the Hardy sums over short intervals ⋮ The hybrid mean value of Dedekind sums and two-term exponential sums ⋮ Continued fractions and Dedekind sums: three-term relations and distribution ⋮ Some identities related to Dedekind sums and the second-order linear recurrence polynomials ⋮ A hybrid mean value involving a new sum and Kloosterman sums ⋮ On the fractional parts of Dedekind sums ⋮ New identities involving certain Hardy sums and two-term exponential sums ⋮ The mean value involving Dedekind sums and two-term exponential sums ⋮ On hybrid mean value of Dedekind sums and two-term exponential sums ⋮ A note on the Cochrane sum and its hybrid mean value formula. ⋮ A problem of D. H. Lehmer and its mean square value formula. ⋮ A hybrid mean value of Dedekind sums and Kloosterman sums ⋮ An interesting identity and asymptotic formula related to the Dedekind sums ⋮ A hybrid mean value related to the Dedekind sums and Kloosterman sums ⋮ A hybrid mean value related to the Dedekind sums and Kloosterman sums ⋮ Some new identities involving Dedekind sums and the Ramanujan sum ⋮ On a sum analogous to the Dedekind sum and its first power mean value formula ⋮ On the k-polygonal numbers and the mean value of Dedekind sums ⋮ On the difference between an integer and its inverse modulo \(n\). II ⋮ Several expressions of Dirichlet \(L\)-function at positive integers ⋮ On a Cochrane sum and its hybrid mean value formula. ⋮ A hybrid mean value involving Dedekind sums and the generalized Kloosterman sums ⋮ On the Dedekind sums and two-term exponential sums ⋮ A mean value of Cochrane sum ⋮ A MEAN VALUE RELATED TO D. H. LEHMER'S PROBLEM AND THE RAMANUJAN'S SUM ⋮ A hybrid mean value related to certain hardy sums and Kloosterman sums ⋮ On the mean value of dedekind sum weighted by the quadratic gauss sum ⋮ On a Cochrane sum and its hybrid mean value formula. II ⋮ A sum analogous to the Dedekind sum and its mean value formula

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