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Abstract
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We improve and extend the irrationality results proved by the authors (Ann. Sc. Norm. Super. Pisa
Cl. Sci.
4:3
(2005), 389–437) for dilogarithms of positive rational numbers to results of linear independence
over
of
,
and
for
suitable
,
both for
and for
.
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Keywords
polylogarithms, linear independence measures, permutation
group method, saddle-point method in $\mathbb{C}^2$
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Mathematical Subject Classification 2010
Primary: 11J72
Secondary: 11J82, 33B30
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Milestones
Received: 10 January 2018
Accepted: 14 March 2018
Published: 11 August 2018
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