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Mahler measures, short walks and log-sine integrals

โœ Scribed by Borwein, Jonathan M.; Straub, Armin


Book ID
120207870
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
527 KB
Volume
479
Category
Article
ISSN
0304-3975

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A study of inverse trigonometric integra
โœ Mathew D. Rogers ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 284 KB

We prove several identities relating three-variable Mahler measures to integrals of inverse trigonometric functions. After deriving closed forms for most of these integrals, we obtain ten explicit formulas for threevariable Mahler measures. Several of these results generalize formulas due to Condon