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Conference "Zeta Functions"June 21 - 25, 2010Moscow, Russia |
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Conference "Zeta Functions"June 21 - 25, 2010Moscow, Russia |
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Organisers: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics)
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Thursday 24 June, 11:30 - 12:30
We show that when averaging over $q$ in certain ranges, specific values of $a$ give rise to greater or smaller amounts of primes in the progressions $a \bmod q$, depending on the arithmetic properties of $a$.