Determinations of Analogues of Gauss Sums and Other Trigonometric Sums

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Explicit determinations of several classes of trigonometric sums are given. These sums can be viewed as analogues or generalizations of Gauss sums. In a previous paper, two of the present authors considered primarily sine sums associated with primitive odd characters. In this paper, we establish two general theorems involving both sines and cosines, with more attention given to cosine sums in the several examples that we provide.
22 pages, to appear in International Journal of Number Theory

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Number Theory, 11L03; 11R29, 11L10

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http://salesiana.dossiersoluciones.com/handle/123456789/96543

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504160
 http://arxiv.org/abs/math/0504160
 International Journal of Number Theory 1, no. 3 (2005), 333-356.

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arXiv