diophantine approximation 1elementary methods 1floor function 1gcd 1irrational sequences 1probabilistic number theory 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.NT2026
On the greatest common divisor of
Jérémy Champagne
The paper determines the probability that the greatest common divisor of n and the integers ⌊α₁n⌋, ⌊α₂n²⌋, …, ⌊αₖnᵏ⌋ equals 1 for fixed irrational α_i, using an elementary approach…
math.NT2026
Equidistribution of polynomial sequences in function fields: resolution of a conjecture
Jérémy Champagne, Zhenchao Ge, Thái Hoà ng Lê +2
Let be the finite field of elements having characteristic , and denote by the field of formal Laurent series in . We…