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math.NT2021
Diophantine approximation with prime restriction in function fields
Stephan Baier, Esrafil Ali Molla, with an appendix by Arijit Ganguly
In the thirties of the last century, I. M. Vinogradov established uniform distribution modulo 1 of the sequence when is a fixed irrational real number and runs over th…
math.NT2021
Khintchine's theorem for affine hyperplanes in positive charateristic
Arijit Ganguly
In this paper we establish the convergence case of Khintchine's theorem for affine hyperplanes in function field of positive characteristic. Along with that, we also prove a quanti…