Transcendental values of the incomplete gamma function and related questions

DOI10.1007/s00013-015-0800-3zbMath1326.11035OpenAlexW1431077693MaRDI QIDQ501161

Ekata Saha, M. Ram Murty

Publication date: 9 October 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0800-3

zbMATH Keywords

transcendencefactorial seriesE-function

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81)

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Cites Work

• Algebraic independence.
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Transcendental values of the digamma function
• Measures of simultaneous approximation for quasi-periods of Abelian varieties
• On two geometric theta lifts
• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• Special values of the gamma function at CM points
• A refined version of the Siegel-Shidlovskii theorem
• On a problem of Chowla
• Transcendence of infinite sums of simple functions
• Infinite sums as linear combinations of polygamma functions
• Applications of a theorem by A. B. Shidlovski
• Transcendental Numbers. (AM-16)
• Transcendental infinite sums
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