• Corpus ID: 235731686

Local Statistics for Zeros of Artin-Schreier L-functions

@inproceedings{Entin2021LocalSF,
  title={Local Statistics for Zeros of Artin-Schreier L-functions},
  author={Alexei Entin and Noam Pirani},
  year={2021}
}
We study the local statistics of zeros of L-functions attached to Artin-Scheier curves over finite fields. We consider three families of Artin-Schreier L-functions: the ordinary, polynomial (the p-rank 0 stratum) and odd-polynomial families. We compute the 1-level zero-density of the first and third families and the 2-level density of the second family for test functions with Fourier transform supported in a suitable interval. In each case we obtain agreement with a unitary or symplectic random… 
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  • S. Bae, H. Jung
  • Mathematics
    International Journal of Number Theory
  • 2019
We study the averages of products of traces of high powers of the Frobenius class of real hyperelliptic curves of genus [Formula: see text] over a fixed finite field [Formula: see text] in both odd
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