Transcendence of special values of log double sine function

DOI10.3792/pjaa.90.133zbMath1310.11076OpenAlexW2053825018MaRDI QIDQ2263956

Hidekazu Tanaka

Publication date: 19 March 2015

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1415285007

zbMATH Keywords

Catalan constanttranscendencydouble sine function

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Unnamed Item
• Values of the double sine function
• Transcendence of the log gamma function and some discrete periods
• Local \(L\)-factors of motives and regularized determinants
• Multiple sine functions
• EXTREMAL VALUES OF DOUBLE AND TRIPLE TRIGONOMETRIC FUNCTIONS

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