Subham - Articles

Publications

Growth of Fourier coefficients of vector-valued automorphic forms (with Jitendra Bajpai and Renan Finder), Journal of Number Theory, 2023. [DOI], [arXiv].
The elliptic sieve and Brauer groups (with Daniel Loughran, Simon Myerson and Masahiro Nakahara), Proceedings of the London Mathematical Society, 2023. [DOI], [arXiv].
Exponential sums in prime fields for modular forms (with Jitendra Bajpai and Victor C. Garc\'{\i}a), Research in Number Theory, 2022. [DOI], [arXiv].
Congruence classes for modular forms over small sets (with Srilakshmi Krishnamoorthy and R. Muneeswaran), International Journal of Number Theory, 2024. [DOI] [arXiv].
Lifting of vector-valued automorphic forms (with Jitendra Bajpai), Journal de Théorie des Nombres de Bordeaux, 2024. [DOI], [arXiv].
Modular degree and a conjecture of Watkins (with Srilakshmi Krishnamoorthy and S. K. Pasupulati), to appear in the BP proceedings on modularity and generalized Fermat equations. [arXiv].

Character sums of Division polynomials twisted by multiplicative functions, [arXiv].
On the correlations between character sums of division polynomials under shifts (with Igor E. Shparlinski), [arXiv].
On quantum ergodicity for higher dimensional cat maps modulo prime powers (with Igor E. Shparlinski), [arXiv].
Exponential Sums with Sparse Polynomials and Distribution of the Power Generator (with Igor E. Shparlinski), [arXiv].
On an indivisibility version of Iizuka's conjecture (with Srilakshmi Krishnamoorthy and R. Muneeswaran), [arXiv].
Watkins's conjecture for elliptic curves with a rational torsion (with Srilakshmi Krishnamoorthy), [arXiv].
Galois representations and composite moduli, [arXiv].
Distribution of Non-Wieferich primes in certain algebraic groups under ABC, [arXiv].

All my articles can also be found in arXiv, ResearchGate, and GoogleScholar.