A study of inverse trigonometric integrals associated with three-variable Mahler measures, and some related identities

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dc.creatorRogers, Mathew D.
dc.date2006-01-04
dc.date.accessioned2026-07-07T06:58:32Z
dc.date.available2026-07-07T06:58:32Z
dc.descriptionWe 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 three-variable Mahler measures. Several of these results generalize formulas due to Condon and Lalín. As a corollary, we also obtain three $q$-series expansions for the dilogarithm.
dc.identifierhttps://arxiv.org/abs/math/0601082
dc.identifierhttp://arxiv.org/abs/math/0601082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107395
dc.subjectNumber Theory
dc.titleA study of inverse trigonometric integrals associated with three-variable Mahler measures, and some related identities
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