4 papers
Resolution of a Conjecture on Shifted R'enyi Divergence
Anay Aggarwal
Altschuler and Chewi conjecture that the sub-Gaussian Orlicz--Wasserstein shifted Rényi divergence between two isotropic Gaussians of equal covariance is attained by a deterministi…
On integers with many representations as the sum of th powers of primes
Anay Aggarwal
For a natural number , let denote the number of distinct representations of a natural number of the form for primes . We prove that, for all ,…
On primality and atomicity of numerical power monoids
Anay Aggarwal, Felix Gotti, Susie Lu
In the first part of this paper, we establish a variation of a recent result by Bienvenu and Geroldinger on the (almost) non-existence of absolute irreducibles in (restricted) powe…
An Elementary Method For Fast Modular Exponentiation With Factored Modulus
Anay Aggarwal, Manu Isaacs
We present a fast algorithm for modular exponentiation when the factorization of the modulus is known. Let be positive integers and suppose factors canonically as $\pro…