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

DOI10.1016/j.ffa.2021.101848zbMath1503.11150arXiv2006.10344OpenAlexW3147523923WikidataQ114179471 ScholiaQ114179471MaRDI QIDQ2031650

Florian Breuer

Publication date: 10 June 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.10344

zbMATH Keywords

Gauss periodsclass numbersmultiplicative ordersreal quadratic units

Mathematics Subject Classification ID

Quadratic extensions (11R11) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Class numbers, class groups, discriminants (11R29)

Cites Work

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• MULTIPLICATIVE ORDER OF GAUSS PERIODS
• On the distribution of units modulo prime ideals in real quadratic fields
• Distribution of units of real quadratic number fields
• Divisors of Mersenne Numbers
• On Orders of Optimal Normal Basis Generators
• On a problem of Eisenstein
• PERIODS OF DUCCI SEQUENCES AND ODD SOLUTIONS TO A PELLIAN EQUATION
• On the Distribution of Mersenne Divisors
• On the class-number of real quadratic fields.

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