FINITE TRIGONOMETRIC CHARACTER SUMS VIA DISCRETE FOURIER ANALYSIS

DOI10.1142/S1793042110002806zbMath1268.11106arXiv0804.0645OpenAlexW2963096982MaRDI QIDQ5306066

Matthias Beck, Mary Halloran

Publication date: 29 March 2010

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

Full work available at URL: https://arxiv.org/abs/0804.0645

zbMATH Keywords

convolutioncharactersclass numbersdiscrete Fourier analysisfinite trigonometric sums

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Trigonometric and exponential sums (general theory) (11L03) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (11)

A real part theorem for the higher derivatives of analytic functions in the unit disk ⋮ Human and automated approaches for finite trigonometric sums ⋮ Spectral zeta functions of graphs and the Riemann zeta function in the critical strip ⋮ Unnamed Item ⋮ The trace method for cotangent sums ⋮ Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform ⋮ Unnamed Item ⋮ The discrete Fourier transform of \((r, s)\)-even functions ⋮ 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

• Unnamed Item
• Finite trigonometric sums and class numbers
• Ramanujan's identities for Eta-functions
• Partial fractions and trigonometric identities
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• Some Eisenstein series identities related to modular equations of the seventh order.

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