Treffer: Well-distribution modulo one and the primes.

Title:
Well-distribution modulo one and the primes.
Authors:
Champagne, J.1 (AUTHOR), Lê, T. H.2 (AUTHOR), Liu, Y.-R.1 (AUTHOR), Wooley, T. D.3 (AUTHOR)
Source:
Proceedings of the American Mathematical Society. Dec2025, Vol. 153 Issue 12, p5069-5074. 6p.
Subject Terms:
*PRIME numbers, *MODULAR arithmetic, *MATHEMATICS, *IRRATIONAL numbers, *MATHEMATICAL sequences, *DISTRIBUTION (Probability theory)
Database:
Academic Search Index

Weitere Informationen

Let (p_n) denote the sequence of prime numbers, ordered with 2=p_1<p_2<\ldots. We demonstrate the existence of an irrational number \alpha having the property that the sequence (\alpha p_n) is not well-distributed modulo 1. [ABSTRACT FROM AUTHOR]