@article{31f4594a662546f99c1df6d676013825,

title = "LOCAL STATISTICS FOR ZEROS OF ARTIN-SCHREIER L-FUNCTIONS",

abstract = "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 matrix model.",

author = "Alexei Entin and Noam Pirani",

note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society.",

year = "2023",

doi = "10.1090/tran/8850",

language = "אנגלית",

volume = "376",

pages = "6141--6175",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "9",

}