On Fabry’s Quotient Theorem

DOI10.1080/00029890.2022.2026179zbMath1497.30002arXiv2003.07661OpenAlexW4213197420WikidataQ113853664 ScholiaQ113853664MaRDI QIDQ5071766

Lev Buhovsky

Publication date: 22 April 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07661

zbMATH Keywords

singular pointcomplex power seriesFabry's quotient theorem

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32) Analytic continuation of functions of one complex variable (30B40)

Cites Work

• Densities in Fabry's theorem
• On a Problem of Additive Number Theory†
• A version of Fabry’s theorem for power series with regularly varying coefficients
• MAJORANT PROBLEMS FOR FOURIER COEFFICIENTS
• On the localization of singularities of Lacunar power series
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