MZV evaluation of hypergeometric series
Ming Hao Zhao
TL;DR
This paper explores the evaluation of complex high-weight hypergeometric series using Multiple Zeta Values, providing new methods for their computation.
Contribution
It introduces novel techniques for expressing high-weight hypergeometric series in terms of Multiple Zeta Values.
Findings
Successfully evaluated multiple classes of hypergeometric series
Developed a framework connecting hypergeometric series and MZVs
Enhanced understanding of series evaluation methods
Abstract
We evaluate several classes of high weight hypergeometric series via Multiple Zeta Values.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Analytic Number Theory Research