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Canadian Number Theory Association X Meeting (CNTA X)
July 13-18, 2008
University of Waterloo
Waterloo, Ontario, Canada

Organizers
Kevin Hare (Waterloo, Wentang Kuo (Waterloo), Yu-Ru Liu (Waterloo), David McKinnon (Waterloo), Michael Rubinstein (Waterloo), Cam Stewart (Waterloo)

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Averaging the error in the Chebotarev Density Theorem over cyclotomic extensions of a number field.
by
Ethan Smith
Clemson University

Given a number field, we consider the mean square error in estimating the number of prime ideals with norm less than x and congruent to a modulo q by the Chebotarev Density Theorem when averaging over all q ≤ Q and all appropriate a. We obtain a simple generalization of a classical result of Barban and of Davenport and Halberstam.

Date received: July 1, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxo-11.