Uniform distribution on the ring of p-adic integers
Date:
Thursday, 19 September, 2024 - 10:30 - 11:30
Venue:
LSB 219
Seminar Type:
Analysis Seminar Talk
Speaker Name:
Prof. Shi-Lei Fan
Affiliation:
Central China Normal University
Abstract:
Koksma’s equidistribution theorem in 1935 states that for Lebesgue almost every x > 1, the fractional parts of the geometric progression (xn)n≥1are equidistributed modulo one. We prove that for almost every x∈ ℚ p, the field of p-adic numbers, the integral part of (xn) are equidistributed in the ring ℤp of p-adic integers.
Poster:
