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.
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
London Mathematical Society
2025
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| Summary: | 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. |
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