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A Dilogarithm Series and a Generalization of a Theorem of Bridgeman (2410.21619v1)
Published 28 Oct 2024 in math.NT and math.CA
Abstract: Using Abel's five-term relation, we obtain a new two-parameter series identity for the Rogers dilogarithm. By specializing this identity we are able to derive dilogarithm series involving Lucas sequences. These identities generalize some results of Bridgeman, which were obtained using a completely different approach.
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