Number Theory Seminar - Tuesday, 13 May at 14:00 - VENUE: ICTP Luigi Stasi seminar room

[ICTP Math Section]

_*Number Theory Seminar*_



Date and venue: Tuesday, 13 May from 14:00  to 15:00 -  Luigi Stasi 
Seminar Room.

Speaker:*Pranendu Darbar (UNSW, Sydney)*

Title: *Statistical Fluctuations at the Mesoscopic Scale for Zeros of 
$L$-Functions over Function Fields*
*
Abstract:* In this talk, I will present  a multidimensional version of 
Selberg’s central limit theorem (SCL) for the families of $L$-functions 
over function fields with different shifts along the critical 
line. These shifts provide insight into the statistical behavior of the 
logarithm of $L$-functions in various regimes. As an application, we 
uncover an unusual correlation structure at the /mesoscopic scale/, 
reminiscent of that observed for the Riemann zeta function.

/This is joint work with Fatma Çiçek (UNBC, Canada) and Allysa Lumley 
(York University, Canada)./


All are welcome to attend./
/