MathematischeGesellschaft Piatetski-Shapiro sequences in arithmetic progressions |  |
Speaker:Prof. Dr. Jean-Marc Deshouillers, Bordeaux INP
Organizer:Mathematisches Institut
Details:
The sequences ([n^c])_n, where c is a positive real number, hold their name from the work of Ilya I. Piatetski-Shapiro who showed in 1953 that when c < 12/11, the sequence P-S_c contains prime numbers with the expected frequency. Beeing polynomial like sequences with arbitrary degree, and limited a priori arithmetical property, the P-S-sequences are a good tool for experimentation. We shall revisit some basic facts concerning the P-S sequences in arithmetic progressions and give some more recent developments, obtained jointly with M. Drmota, C. Müllner and L. Spiegelhofer, concerning the Möbius orthogonality and the distribution of blocks of consecutive values.
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Type:Colloquium
Language:English
Category:Research
Host:Prof. Dr. Jörg Brüdern
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Direct link to event:https://events.goettingen-campus.de/event?eventId=9722
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