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On quadratic Gauss sums and variations thereof

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Publication:2813468
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DOI10.1080/23311835.2015.1021187zbMath1339.11100arXiv1405.3194OpenAlexW2034471036MaRDI QIDQ2813468

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Publication date: 24 June 2016

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3194


zbMATH Keywords

cosine sumsine sumfinite trigonometric sumsGauss quadratic sum


Mathematics Subject Classification ID

Exponential sums (11T23) Other character sums and Gauss sums (11T24) Trigonometric and exponential sums (general theory) (11L03) Dirichlet series, exponential series and other series in one complex variable (30B50) Numerical summation of series (65B10) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)


Related Items (1)

Theta series, wall-crossing and quantum dilogarithm identities



Cites Work

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  • Master theorems for a family of integrals
  • An asymptotic expansion for the generalised quadratic Gauss sum revisited
  • The determination of Gauss sums
  • Gauss sums and quantum mechanics




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