Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields

Florian Breuer

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arXiv · 2006.10344

Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields

Florian Breuer

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Abstract

We obtain divisibility conditions on the multiplicative orders of elements of the form $\zeta + \zeta^{-1}$ in a finite field by exploiting a link to the arithmetic of real quadratic fields.

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Florian Breuer. 2020-06-18. Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields. https://arxiv.org/abs/2006.10344

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