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math.NT2024
Exponential Sums with Sparse Polynomials and Distribution of the Power Generator
Subham Bhakta, Igor Shparlinski
We obtain new bounds on complete rational exponential sums with sparse polynomials modulo a prime, under some mild conditions on the degrees of the monomials of such polynomials. T…
math.NT2024
On an indivisibility version of Iizuka's conjecture
Muneeswaran R, Srilakshmi Krishnamoorthy, Subham Bhakta
Iizuka's conjecture predicts that, given and a prime , there exists infinitely many integers such that the class numbers of \textit{all} of the following…
math.NT2024
Watkins's conjecture for elliptic curves with a rational torsion
Subham Bhakta, Srilakshmi Krishnamoorthy
Watkins's conjecture suggests that for an elliptic curve , the rank of the group of rational points is bounded above by , where is th…