T. H. Le

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math.NT2025

Equidistribution of polynomial sequences in function fields: resolution of a conjecture

Jérémy Champagne, Zhenchao Ge, Thái Hoàng Lê +2

Let $F_{q}$ be the finite field of $q$ elements having characteristic $p$ , and denote by $K_{\infty} = F_{q} ((1/ t))$ the field of formal Laurent series in $1/ t$ . We…

math.NT2024

Well-distribution modulo one and the primes

J. Champagne, T. H. Lê, Y. -R. Liu +1

Let $(p_{n})$ denote the sequence of prime numbers, with $2 = p_{1} < p_{2} < \dots$ . We demonstrate the existence of an irrational number $α$ having the property that the sequence $(α p_{n})$ i…