MathematischeGesellschaft Piatetski-Shapiro sequences in arithmetic progressions |  |
Vortragende Person:Prof. Dr. Jean-Marc Deshouillers, Bordeaux INP
Veranstalter:Mathematisches Institut
Beschreibung:
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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Veranstaltungsart:Kolloquium
Veranstaltungssprache:Englisch
Kategorie:Forschung
Name der einladenden Person:Prof. Dr. Jörg Brüdern
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Direkter Link zur Veranstaltung:https://events.goettingen-campus.de/event?eventId=9722
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