8 citations · 23 across the 8 of their papers we have counts for
8 papers
Non-orthogonality of the cubic and quartic large sieves via Rankin-Selberg
Alexandre de Faveri, Alexander Dunn, Jeffrey Hoffstein
We show unconditionally that the cubic and quartic large sieves are not perfectly orthogonal. The main obstruction to perfect orthogonality comes from the bias exhibited by Gauss s…
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…
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.
Fourier coefficients of sextic theta series
Reinier Broker, Jeff Hoffstein
This article focuses on the theta series on the 6-fold cover of GL. We investigate the Fourier coefficients of the theta series, and give partially proven, partially con…
Multiple Dirichlet Series and Shifted Convolutions
Jeff Hoffstein, Thomas A. Hulse, Andre Reznikov
We define, and obtain the meromorphic continuation of, shifted Rankin-Selberg convolutions in one and two variables. As sample applications, this continuation is used to obtain est…
The first non-vanishing quadratic twist of an automorphic L-series
Jeff Hoffstein, Alex Kontorovich
Let pi be an automorphic representation on GL(r, A_Q) for r=1, 2, or 3. Let d be a fundamental discriminant and chi_d the corresponding quadratic Dirichlet character. We consider t…
Multiple Dirichlet series and moments of zeta and L-functions
Adrian Diaconu, Dorian Goldfeld, Jeffrey Hoffstein
This paper develops an analytic theory of Dirichlet series in several complex variables which possess sufficiently many functional equations. In the first two sections it is shown…