A generalization of the BARBAN (cas 101-27-9)–Davenport–Halberstam Theorem to number fields

Add time:08/03/2019    Source:sciencedirect.com

For a fixed number field K, we consider the mean square error in estimating the number of primes with norm congruent to a modulo q by the Chebotarëv Density Theorem when averaging over all q⩽Q and all appropriate a. Using a large sieve inequality, we obtain an upper bound similar to the Barban–Davenport–Halberstam Theorem.

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