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.

Dettagli Bibliografici
Autori principali: Luca, F, Ouaknine, J, Worrell, J
Natura: Journal article
Lingua:English
Pubblicazione: London Mathematical Society 2025