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Some families of links with divergent Mahler measure

✍ Scribed by Todd, Robert G.

Book ID
113066119
Publisher
Springer
Year
2011
Tongue
English
Weight
855 KB
Volume
159
Category
Article
ISSN
0046-5755

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The Mahler measures of some n-variable polynomial families are given in terms of special values of the Riemann zeta function and a Dirichlet L-series, generalizing the results of LalΓ­n (J. Number Theory 103 (2003) 85-108). The technique introduced in this work also motivates certain identities among

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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