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math.NT2020
Growth of Fourier coefficients of vector-valued automorphic forms
Jitendra Bajpai, Subham Bhakta, Renan Finder
In this article, we establish polynomial-growth bound for the sequence of Fourier coefficients associated to even integer weight vector-valued automorphic forms of Fuchsian groups…
math.NT2020
Exponential sums in prime fields for modular forms
Jitendra Bajpai, Subham Bhakta, Victor C. Garcia
The main objective of this article is to study the exponential sums associated to Fourier coefficients of modular forms supported at numbers having a fixed set of prime factors. Th…
math.NT2020
Distribution of Non-Wieferich primes in certain algebraic groups under ABC
Subham Bhakta
Under ABC, Silverman showed that there are infinitely many non-Wieferich primes with respect to any (non-trivial) base . Recently Srinivas and Subramani proved an analogous resu…