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math.NT2026
Systems of equations with elements of finitely generated groups and with linear recurrence sequences
Subham Bhakta, Alina Ostafe, Igor E. Shparlinski
We obtain new and essentially optimal bounds on the number of solutions of diagonal systems of polynomial equations in variables from an arbitrary finite subset of a finite…
math.NT2026
Perfect powers in the product of denominators of elliptic curves
Subham Bhakta
We use sieving arguments to estimate the frequency of -tuples of rational points where …