On Quadratic Gauss Sums and Variations Thereof

Abstract

A number of new terminating series involving $\sin (n^2/k)$ and $\cos (n^2/k)$ 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.

Minor revisions and corrections

References in corpus (2)

• Construction of Equientangled Bases in Arbitrary Dimensions via Quadratic Gauss Sums and Graph States
• An asymptotic expansion for the generalised quadratic Gauss sum revisited

Cited by in corpus (1)

• Double-Janus Linear Sigma Models and Generalized Reciprocity for Gauss Sums