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.File in questo prodotto:
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