3 citations · 10 across the 14 of their papers we have counts for
14 papers
The index of a certain quotient of the Hecke algebra in its normalization
Amod Agashe
Let be a congruence subgroup of , and let be a normalized eigenform of weight on . Let denote the number field generated over by the Fourier coeffic…
Reducibility and rational torsion in modular abelian varieties
Amod Agashe, Matthew Winters
Let N be a square-free positive integer and let f be a newform of weight 2 on Γ_0(N). Let A denote the abelian subvariety of J_0(N) associated to f and let m be a maximal ideal of…
A generalization of Kronecker's first limit formula to GL(n)
Amod Agashe
Kronecker's first limit formula gives the polar and constant terms of the Laurent series expansion of the Eisenstein series for SL(2,Z) at s=1. In this article, we generalize the f…
Darmon points on elliptic curves over totally real fields
Amod Agashe, Mak Trifkovic
We show how to construct Darmon points on elliptic curves over totally real fields.
Constructing non-trivial elements of the Shafarevich-Tate group of an Abelian Variety over a Number Field
Amod Agashe, Saikat Biswas
The second part of the Birch and Swinnerton-Dyer (BSD) conjecture gives a conjectural formula for the order of the Shafarevich-Tate group of an elliptic curve in terms of other com…
Visibility and the Birch and Swinnerton-Dyer conjecture for analytic rank zero
Amod Agashe
Let be an optimal elliptic curve over $\Q$ of conductor having analytic rank zero, i.e., such that the -function of does not vanish at . Suppose there…