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Non-vanishing of symmetric cube -functions
Jeff Hoffstein, Junehyuk Jung, Min Lee
We prove that there are infinitely many Maass--Hecke cuspforms over the field such that the corresponding symmetric cube -series does not vanish at the c…
Second moments of Rankin-Selberg convolution and shifted Dirichlet series
Jeff Hoffstein, Min Lee
In this paper we work over , for any and write the spectral moment of a product of two distinct Rankin-Selberg convolutions at a general point on the critical line $\fr…
Test vectors for Rankin-Selberg -functions
Andrew R. Booker, M. Krishnamurthy, Min Lee
We study the local zeta integrals attached to a pair of generic representations of , , over a -adic field. Through a process of unipotent averaging…
Values of Harmonic Weak Maass forms on Hecke orbits
Dohoon Choi, Min Lee, Subong Lim
Let , where . For an even integer , let be a meromorphic modular form of weight on . Fo…
Effective joint equidistribution of primitive rational points on expanding horospheres
Daniel El-Baz, Bingrong Huang, Min Lee
We prove an effective version of a result due to Einsiedler, Mozes, Shah and Shapira who established the equidistribution of primitive rational points on expanding horospheres in t…
Shifted convolutions and a conjecture by Mazur, Rubin and Stein
Nikolaos Diamantis, Jeffrey Hoffstein, Mehmet Kıral +1
In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved.