Seminar series
Date
Thu, 30 Jan 2014
Time
16:00 -
17:00
Location
L5
Speaker
Emmanuel Kowalski
Organisation
ETH Zuerich
After a short survey of the notion of level of distribution for
arithmetic functions, and its importance in analytic number theory, we
will explain how our recent studies of twists of Fourier coefficients of
modular forms (and especially Eisenstein series) by "trace functions"
lead to an improvement of the results of Friedlander-Iwaniec and
Heath-Brown for the ternary divisor function in arithmetic progressions
to prime moduli.
This is joint work with É. Fouvry and Ph. Michel.