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math.NT2021
Correlation of shifted values of -functions in the hyperelliptic ensemble
Pranendu Darbar, Gopal Maiti
The moments of quadratic Dirichlet -functions over function fields have recently attracted much attention with the work of Andrade and Keating. In this article, we establish low…
math.NT2021
Simultaneous non-vanishing of central values of and -functions
Gopal Maiti, Kummari Mallesham
We study simultaneous non-vanishing of $L(\tfrac{1}{2},\di)$ and $L(\tfrac{1}{2},g\otimes \di)$, when $\di$ runs over an orthogonal basis of the space of Hecke-Maass cusp forms for…