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SUMMARY:Generalised Fourier coefficients of multiplicative functions
DTSTART;VALUE=DATE-TIME:20140623T093000Z
DTEND;VALUE=DATE-TIME:20140623T103000Z
DTSTAMP;VALUE=DATE-TIME:20220924T170800Z
UID:indico-contribution-590@indico.math.cnrs.fr
DESCRIPTION:Speakers: Lilian Matthiesen (Institut de Mathématiques de Jus
sieu)\n\nThe aim of this talk is to explain a strategy that allows us to b
ound the Fourier coefficients of a large class of not necessarily bounded
multiplicative functions. The interest in this result lies in the fact tha
t the strategy can be adapted to show that these multiplicative functions
give rise to functions that are orthogonal to linear nilsequences when app
lying a `W-trick'. This\, in turn\, provides one of two necessary steps fo
r an application of the Green--Tao methods\, which can be employed to asym
ptotically evaluate linear correlations of these multiplicative functions.
Such correlations appear naturally in many arithmetic problems.\n\nhttps:
//indico.math.cnrs.fr/event/158/contributions/590/
LOCATION:Salle de réunions (Université Lille 1)
RELATED-TO:indico-event-158@indico.math.cnrs.fr
URL:https://indico.math.cnrs.fr/event/158/contributions/590/
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