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math.NT2021★ 1 cited
Local Statistics for Zeros of Artin-Schreier L-functions
Alexei Entin, Noam Pirani
We study the local statistics of zeros of -functions attached to Artin-Scheier curves over finite fields. We consider three families of Artin-Schreier -functions: the ordinar…
math.NT2021
The minimal ramification problem for rational function fields over finite fields
Lior Bary-Soroker, Alexei Entin, Arno Fehm
We study the minimal number of ramified primes in Galois extensions of rational function fields over finite fields with prescribed finite Galois group. In particular, we obtain a g…