Establishes a new reciprocity relation for first moments of GL(2)L-functions twisted by Dirichlet characters, suggesting significant findings in number theory.
A formula connecting a moment of ‐functions and a dual moment in a way that interchanges the roles of certain key parameters on both sides is known as a reciprocity relation. We establish a reciprocity relation for a first moment of ‐functions twisted by Dirichlet characters. This extends, via a new and simple argument, some results of Bettin, Drappeau, and Nordentoft.
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Dasgupta et al. (2026) studied this question.
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