21 citations · 33 across the 19 of their papers we have counts for
20 papers
Explicit composition identities for higher composition laws
Gautam Chinta, Ajith Nair
In 2001, Bhargava proved a composition law for integer cubes, which generalized Gauss composition of integral binary quadratic forms. Furthermore, he derived…
Most subrings of have large corank
Gautam Chinta, Kelly Isham, Nathan Kaplan
If is a sublattice of index , then is a finite abelian group of order and rank at most . Several authors have studied statistic…
The discrete analogue of the Gaussian
Gautam Chinta, Jay Jorgenson, Anders Karlsson +1
This paper illustrates the utility of the heat kernel on as the discrete analogue of the Gaussian density function. It is the two-variable function $K_{\mathbb{Z}}(t,x…
The parametrix construction of the heat kernel on a graph
Gautam Chinta, Jay Jorgenson, Anders Karlsson +1
In this paper we develop the parametrix approach for constructing the heat kernel on a graph . In particular, we highlight two specific cases. First, we consider the case when $…
Random and mean Lyapunov exponents for
Diego Armentano, Gautam Chinta, Siddhartha Sahi +1
We consider orthogonally invariant probability measures on and compare the mean of the logs of the moduli of eigenvalues of the matrices to the Lyapunov…
Planes in and Eisenstein series
Gautam Chinta, Valdir Pereira Júnior
We study the number of two-dimensional sublattices of of a fixed covolume and construct the associated Dirichlet series. The latter is shown to be related to Eisenst…