Reciprocity for $L$-functions twisted by Dirichlet characters

Speaker:

Rizwanur Khan

Affiliation:

University of Texas at Dallas

Date:

Tue, 22/07/2025 - 16:30 - 17:20

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Progress and Emergent Theories in Zeta and L-Functions" (PRETZL) [3]

Reciprocity in the context of $L$-functions refers to a relation between
a moment of $L$-functions and a dual moment in a way that swaps
the roles of certain key parameters on both sides. In this talk I will discuss
reciprocity for the first moment of $GL(2)$ $L$-functions twisted by Dirichlet
characters.