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One level density of Hecke L-functions associated with cubic characters at prime arguments
(Bilkent University, 2023-01)We study the one-level density of low-lying zeros of a family of L-functions associated with cubic Hecke characters defined over the Eisenstein field. We show that this family of L-functions satisfies the Katz-Sarnak ... -
Piatetski-shapir prime number theorem and chebotarev density theorem
(Bilkent University, 2015-07)Let K be a nite Galois extension of the eld Q of rational numbers. In this thesis, we derive an asymptotic formula for the number of the Piatetski-Shapiro primes not exceeding a given quantity for which the associated ...
