English

On Quadratic Gauss Sums and Variations Thereof

Classical Analysis and ODEs 2018-10-23 v2 Number Theory

Abstract

A number of new terminating series involving sin(n2/k)\sin(n^2/k) and cos(n2/k)\cos(n^2/k) are presented and connected to Gauss quadratic sums. Several new closed forms of generic Gauss quadratic sums are obtained and previously known results are generalized.

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Cite

@article{arxiv.1405.3194,
  title  = {On Quadratic Gauss Sums and Variations Thereof},
  author = {Michael S. Milgram and Larry Glasser},
  journal= {arXiv preprint arXiv:1405.3194},
  year   = {2018}
}

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