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A weighted one-level density for Dirichlet L-functions with a new type of density

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Ade Irma Suriajaya
Kyushu University/MPIM Bonn
Tue, 26/03/2024 - 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In 1999 Katz and Sarnak conjectured that the distribution of low-lying zeros of L-functions in a family is similar to that of the eigenvalues of random matrices.
Recently, Sugiyama observed a new phenomenon occurring in a family of symmetric square L-functions attached to Hilbert modular forms, in which its symmetry
type changes from symplectic to a new type of density function which does not occur in the Katz-Sarnak Conjecture.
In this talk, I will introduce my recent result with Sugiyama which verifies this phenomenon in the case of Dirichlet L-functions.


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