45 citations · 309 across the 42 of their papers we have counts for
5 papers · 2 filters
The Existence of an Abelian Variety over the Algebraic Numbers isogenous to no Jacobian
Jacob Tsimerman
We prove the existence of an Abelian variety of dimension over $\Qa$ which is not isogenous to any Jacobian, subject to the necessary condition . Recently, C.Chai and…
Local spectral equidistribution for Siegel modular forms and applications
Emmanuel Kowalski, Abhishek Saha, Jacob Tsimerman
We study the distribution, in the space of Satake parameters, of local components of Siegel cusp forms of genus 2 and growing weight, subject to a specific weighting which allows u…
A note on Fourier coefficients of Poincaré series
Emmanuel Kowalski, Abhishek Saha, Jacob Tsimerman
We give a short and "soft" proof of the asymptotic orthogonality of Fourier coefficients of Poincaré series for classical modular forms as well as for Siegel cusp forms, in a quali…
Metaplectic Ramanujan conjecture over function fields with applications to quadratic forms
S. Ali Altug, Jacob Tsimerman
We formulate and prove the analogue of the Ramanujan Conjectures for modular forms of half-integral weight subject to some ramification restriction in the setting of a polynomial r…
On the Davenport-Heilbronn theorems and second order terms
Manjul Bhargava, Arul Shankar, Jacob Tsimerman
We give simple proofs of the Davenport--Heilbronn theorems, which provide the main terms in the asymptotics for the number of cubic fields having bounded discriminant and for the n…