[Turkmath:6051] FGC-HRI-IPM Number Theory Seminars::Alia Hamieh[April 5, 5pm]

[Özlem Ejder]

Dear all,

Alia Hamieh (University of Northern British Columbia) is our speaker in the
FGC-HRI-IPM Number Theory Seminar this week.

*Date and Time:* Wednesday April 5, 17:00 (Istanbul time)

*Title: *Moments of L-functions and Mean Values of Long Dirichlet
Polynomials

*Abstract: *Establishing asymptotic formulae for moments of L-functions is
a central theme in analytic number theory. This topic is related to various
non-vanishing conjectures and and the generalized Lindelöf Hypothesis. A
major breakthrough in analytic number theory occurred in 1998 when Keating
and Snaith established a conjectural formula for moments of the Riemann
zeta function using ideas from random matrix theory. The methods of Keating
and Snaith led to similar conjectures for moments of many families of
L-functions. These conjectures have become a driving force in this field
which has witnessed substantial progress in the last two decades. In this
talk, I will review the history of this subject and survey some recent
results. I will also discuss recent joint work with Nathan Ng on the mean
values of long Dirichlet polynomials which could be used to model moments
of the zeta function.

*Zoom Meeting ID: *856 1386 0958
*Passcode: *513992

*ICS-File: *https://researchseminars.org/seminar/FGC-IPM/ics

Sevgiler,
Özlem
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