16 citations · 21 across the 4 of their papers we have counts for
4 papers
Sparse equidistribution problems, period bounds, and subconvexity
Akshay Venkatesh
We introduce a ``geometric'' method to bound periods of automorphic forms. The key features of this method are the use of equidistribution results in place of mean value theorems,…
Existence and Weyl's law for spherical cusp forms
Elon Lindenstrauss, Akshay Venkatesh
Let G be a split adjoint semisimple group over Q and K a maximal compact subgroup of the real points G(R). We shall give a uniform, short and essentially elementary proof of the We…
Integral points on elliptic curves and 3-torsion in class groups
H. A. Helfgott, A. Venkatesh
We give new bounds for the number of integral points on elliptic curves. The method may be said to interpolate between approaches via diophantine techniques ([BP], [HBR]) and metho…
The number of extensions of a number field with fixed degree and bounded discriminant
Jordan S. Ellenberg, Akshay Venkatesh
We give an upper bound on the number of extensions of a fixed number field of prescribed degree and discriminant less than X; these bounds improve on work of Schmidt. We also prove…