Transcendence of Hecke–Mahler series

We prove transcendence of the Hecke–Mahler series ∑∞n=0f(⌊nθ+α⌋)β−n, where f(x)∈Z[x] is a non-constant polynomial α is a real number, θ is an irrational real number, and β is an algebraic number such that |β|>1.

書目詳細資料
Main Authors: Luca, F, Ouaknine, J, Worrell, J
格式: Journal article
語言:English
出版: London Mathematical Society 2025