Irrational dilations of Pascal's triangle

DOI10.1112/S0025579300014418zbMath1040.11054MaRDI QIDQ4435535

Daniel Berend, Grigori Kolesnik, Michael D. Boshernitzan

Publication date: 16 November 2003

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

Pascal's triangleuniform distribution modulo onePascal-adic transformation

Mathematics Subject Classification ID

Distribution modulo one (11J71)

Cites Work

• Binomial-coefficient multiples of irrationals
• Numbers contravening a condition in density modulo 1
• Infinite families of solutions of the equation \binom{𝑛}𝑘=2\binom{𝑎}𝑏
• Symmetric Gibbs measures
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation