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math.NT2021
Primitive elements with prescribed traces
Andrew R. Booker, Stephen D. Cohen, Nicol Leong +1
Given a prime power and a positive integer , let denote the finite field with elements. Also let be arbitrary members of the ground field $\…
math.NT2021
Wolstenholme and Vandiver primes
Andrew R. Booker, Shehzad Hathi, Michael J. Mossinghoff +1
A prime is a Wolstenholme prime if mod , or, equivalently, if divides the numerator of the Bernoulli number ; a Vandiver prime is o…