On vanishing Fermat quotients and a bound of the Ihara sum

DOI10.2996/kmj/1364562722zbMath1315.11004arXiv1104.3910OpenAlexW2097944286MaRDI QIDQ1951666

Igor E. Shparlinski

Publication date: 24 May 2013

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3910

zbMATH Keywords

cyclotomic fieldFermat quotientsIhara sum

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Cyclotomic extensions (11R18) Distribution of integers with specified multiplicative constraints (11N25) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (4)

On the additive energy of the Heilbronn subgroup ⋮ Probabilistic study of Fermats quotients ⋮ Ratios of Small Integers in Multiplicative Subgroups of Residue Rings ⋮ Statistical distribution of Fermat quotients

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