Dilogarithm identities after Bridgeman

2020/06/08 by Jaipong, Pradthana, Lang, Mong Lung, Tan, Ser Peow +1
#11A05 #11A55 #11B39 #11B83 #11G55 #11H31 #30F35 #30F60 #FOS: Mathematics #Geometric Topology (math.GT) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2006.04329

Abstract

Following Bridgeman, we demonstrate several families of infinite dilogarithm identities associated with Fibonacci numbers, Lucas numbers, convergents of continued fractions of even periods, and terms arising from various recurrence relations.

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