Starts 13 May 2025 14:00
Ends 13 May 2025 15:00
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NUMBER THEORY SEMINAR - Statistical Fluctuations at the Mesoscopic Scale for Zeros of $L$-Functions over Function Fields
ICTP
Leonardo Building - Luigi Stasi Seminar Room
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).
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).