Jacob Tsimerman

most citedThe Existence of an Abelian Variety over the Algebraic Numbers isogenous to no Jacobian

2 citations · 2 across the 3 of their papers we have counts for

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math.NT2011

Non-split Sums of Coefficients of GL(2)-Automorphic Forms

Nicolas Templier, Jacob Tsimerman

Given a cuspidal automorphic form $π$ on $\GL_2$, we study smoothed sums of the form $\sum_{n \in N} a_{π} (n^{2} + d) W (\frac{n}{Y})$ . The error term we get is sharp in that it is…

math.NT2011

Brauer-Siegel for Arithmetic Tori and lower bounds for Galois orbits of special points

Jacob Tsimerman

In \cite{S}, Shyr derived an analogue of Dirichlet's class number formula for arithmetic Tori. We use this formula to derive a Brauer-Siegel formula for Tori, relating the Discrimi…

math.NT2010★ 2 cited

The Existence of an Abelian Variety over the Algebraic Numbers isogenous to no Jacobian

Jacob Tsimerman

We prove the existence of an Abelian variety $A$ of dimension $g$ over $\Qa$ which is not isogenous to any Jacobian, subject to the necessary condition $g > 3$ . Recently, C.Chai and…