Mathematics > Number Theory
[Submitted on 19 Sep 2025
]
Title: Infinitesimal Dilogarithm Satisfies Cluster Identities
Title: 无穷小双对数满足簇恒等式
Abstract: In this paper, we show that the infinitesimal dilogarithm and Kontsevich's one-and-a-half logarithm function satisfies the identities which result from periods in cluster patterns. We also prove that these cluster identities are a consequence of the pentagon relation in the infinitesimal case.
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