References & Citations
Mathematics > Number Theory
Title: Discrete iterated integrals and cyclic sum formulas
(Submitted on 24 Apr 2024 (v1), last revised 26 Apr 2024 (this version, v2))
Abstract: In this paper, we consider a discrete version of iterated integrals by the naive (equally divided) Riemann sum. In particular, basic three formulas for usual iterated integrals are discritized. Moreover, we proved cyclic sum formulas for discrete iterated integrals. They imply the cyclic sum formula for multiple polylogarithms.
Submission history
From: Hanamichi Kawamura [view email][v1] Wed, 24 Apr 2024 19:32:50 GMT (18kb,D)
[v2] Fri, 26 Apr 2024 09:22:53 GMT (18kb,D)
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