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Showing 1 to 3 of 3 for “"Distribution of Primes"”.
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Topics in analytic number theory
This thesis, consisting of two chapters, proves several new theorems concerning L-functions and the distribution of primes. In the first chapter, we establish the first explicit form of the Vinogradov–Korobov zero-free region for Dirichlet L-functions. In the second chapter, we generalize recent …
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Arithmetic Properties Related to Isogeny Criteria for Elliptic Curves and Drinfeld Modules
… and are non-isogenous. We prove that the number of primes of K of norm at most x for which E_1 and E_2 have the same Frobenius trace or Frobenius field is bounded above asymptotically by a function of x. We prove a bound with a log saving unconditionally, prove a bound with a power saving …