Research
My research interests are primarily in Number Theory, with a specific focus on Diophantine equations and their relationship with the analytic and arithmetic theory of L-functions. My work can be found through my ResearchGate profile.
Research
My research interests are primarily in Number Theory, with a specific focus on Diophantine equations and their relationship with the analytic and arithmetic theory of L-functions. My work can be found through my ResearchGate profile.
Preprints
A note on arithmetic congruences.
Publications by year
2026
Wieferich primes in number fields and the conjectures of Ankeny–Artin–Chowla and Mordell.
with Ram Murty
J. Number Theory 285 (2026) 209-229
On the Second Hardy–Littlewood Conjecture.
with Bittu Chahal, Ertan Elma, Akshaa Vatwani, and Do Nhat Tan Vo
Acta Arith. (to appear)
2025
Congruence relations of Ankeny–Artin–Chowla type for real quadratic fields.
Int. J. Number Theory 21(6) (2025) 1317-1335
2024
Fermat quotients and the Ankeny–Artin–Chowla conjecture.
with Ram Murty
K. Chakraborty et al. (eds.), Class Groups of Number Fields and Related Topics, Springer Proceedings in Mathematics & Statistics 470, pp. 1-23