Multiple Franel integrals

DOI10.1112/S0025579300013711zbMath0791.11029OpenAlexW2054673549MaRDI QIDQ3139945

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Publication date: 21 July 1994

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300013711

zbMATH Keywords

evaluationDedekind sumscotangent sumsFranel integrals of order four

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Distribution modulo one (11J71)

Related Items (7)

Arithmetic sums of polynomial values ⋮ A three variable identity connected with Dedekind sums ⋮ Exact evaluations and reciprocity theorems for finite trigonometric sums ⋮ Identities involving Farey fractions ⋮ Об одном элементарном варианте метода И.М. Виноградова ⋮ Explicit evaluations and reciprocity theorems for finite trigonometric sums ⋮ A certain mean value theorem in the number theory

Cites Work

• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Theorems on generalized Dedekind sums
• Generalization of the reciprocity formula for Dedekind sums
• Unnamed Item

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