A search for c-Wieferich primes

Author:

Bamunoba Alex Samuel1,Bergström Jonas2

Affiliation:

1. Department of Mathematics, Makerere University, P. O. Box 7062, Kampala, Uganda

2. Department of Mathematics, Stockholm University, SE-106 91, Stockholm, Sweden

Abstract

Let [Formula: see text] be a power of a prime number [Formula: see text], [Formula: see text] be a finite field with [Formula: see text] elements and [Formula: see text] be a subgroup of [Formula: see text] of order [Formula: see text]. We give an existence criterion and an algorithm for computing maximally [Formula: see text]-fixed c-Wieferich primes in [Formula: see text]. Using the criterion, we study how c-Wieferich primes behave in [Formula: see text] extensions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

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