DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS

DOI10.1142/S1793042105000200zbMath1088.11064arXivmath/0504160MaRDI QIDQ3370693

O-Yeat Chan, Matthias Beck, Bruce C. Berndt, Alexandru Zaharescu

Publication date: 8 February 2006

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504160

zbMATH Keywords

Gauss sumclass numbertrigonometric sumprimitive character

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Trigonometric and exponential sums (general theory) (11L03) Jacobsthal and Brewer sums; other complete character sums (11L10)

Related Items (11)

A theta function identity of degree 7 with applications ⋮ Weighted trigonometric sums over a half-period ⋮ Exact evaluations and reciprocity theorems for finite trigonometric sums ⋮ Values of Dirichlet \(L\)-functions, Gauss sums and trigonometric sums ⋮ Unnamed Item ⋮ Character analogue of the Boole summation formula with applications ⋮ On Dirichlet \(L\)-functions with periodic coefficients and Eisenstein series ⋮ Explicit expressions for finite trigonometric sums ⋮ A twisted generalization of the classical Dedekind sum ⋮ On an approach for evaluating certain trigonometric character sums using the discrete time heat kernel ⋮ Trigonometric sums through Ramanujan's theory of theta functions

Cites Work

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• Finite trigonometric sums and class numbers
• Ramanujan's identities for Eta-functions
• Some Eisenstein series identities related to modular equations of the seventh order.

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