We prove a short intervals version of the well known Montgomery-Hooley asymptotic formula for the mean square of primes in arithmetic progressions. A sharper result is obtained under GRH.

On the Montgomery-Hooley theorem in short intervals

PERELLI, ALBERTO;
2010-01-01

Abstract

We prove a short intervals version of the well known Montgomery-Hooley asymptotic formula for the mean square of primes in arithmetic progressions. A sharper result is obtained under GRH.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/224848
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