The behavior of \(\sum_{n=1}^\infty \zeta^{\lfloor n\theta\rfloor}/n\) for particular values of \(\theta\)

DOI10.1007/S10474-007-6057-YzbMath1164.11030OpenAlexW93803199MaRDI QIDQ955170

Giuseppe Molteni

Publication date: 19 November 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-6057-y

zbMATH Keywords

convergenceinfinite seriesLiouville numberprimitive root of unity

Mathematics Subject Classification ID

Diophantine approximation, transcendental number theory (11J99)

Cites Work

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• Liouville numbers, Rajchman measures, and small Cantor sets
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• Diophantine Approximation and Hausdorff Dimension

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