Euler’s criterion for prime order in the PID case

DOI10.4064/AA180723-5-2zbMATH Open1465.11034arXiv1807.08995OpenAlexW2987688461WikidataQ126801856 ScholiaQ126801856MaRDI QIDQ5220092

Jagmohan Tanti

Publication date: 10 March 2020

Published in: Acta Arithmetica (Search for Journal in Brave)

Abstract: In this paper we establish the Eulers criterion of order l (a prime) when the ring of integers in the cyclotomic extension of Q of order l is a PID. Conditions are obtained in terms of Jacobi sums of order l.

Full work available at URL: https://arxiv.org/abs/1807.08995

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