Aditya Karnataki

collaborators

3 papers

math.NT2025

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning

Priyavrat Deshpande, Aditya Karnataki, Pratiksha Shingavekar

This article presents a comprehensive data-scientific investigation into the arithmetic statistics of congruent number elliptic curves, leveraging a dataset of square-free integers…

math.NT2021

Level-raising for automorphic forms on $G L_{n}$

Aditya Karnataki

Let $E$ be a CM number field and $F$ its maximal real subfield. We prove a level-raising result for regular algebraic conjugate self-dual automorphic representations of $GL_n(\math…

math.NT2021

Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich)

Aditya Karnataki, David E. Rohrlich

We give an unconditional proof that self-dual Artin representations of $Q$ of dimension $3$ have density $0$ among all Artin representations of $Q$ of dimension $…

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning

Level-raising for automorphic forms on GLn​

Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich)

Level-raising for automorphic forms on $G L_{n}$