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math.NT2025
Infinitesimal Dilogarithm Satisfies Cluster Identities
Sinan Unver
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.…
math.NT2013★ 3 cited
Cyclotomic p-adic Multi-Zeta Values in Depth Two
Sinan Unver
In this paper we compute the values of the p-adic multiple polylogarithms of depth two at roots of unity. Our method is to solve the fundamental differential equation satisfied by…