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

2020/06/18 by Florian Breuer, Breuer, Florian
Computer Science · Mathematics · #11R29 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #Primary: 11T30 #Secondary: 11R11

paper · pdf · doi:10.48550/arxiv.2006.10344

openalex publication_date 2020/06/18 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We obtain divisibility conditions on the multiplicative orders of elements of\nthe form \ζ + \ζ^-1 in a finite field by exploiting a link to the\narithmetic of real quadratic fields.\n

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