Infinite Summation Formulas Involving Riemann-Zeta function
Xiaoxia Wang, Xueying Yuan
TL;DR
This paper derives new infinite summation formulas involving the Riemann-Zeta function and generalized harmonic numbers using hypergeometric summation theorems, expanding mathematical tools for analyzing special functions.
Contribution
It introduces novel infinite summation formulas involving the Riemann-Zeta function and harmonic numbers based on hypergeometric summation theorems, with three distinct patterns.
Findings
New infinite summation formulas involving Riemann-Zeta and harmonic numbers
Three different summation patterns established
Enhances analytical tools for special functions
Abstract
By some hypergeometric summation theorems, the authors establish a series of new infinite summation formulas involving generalized harmonic numbers related to Riemann-Zeta function, with three different patterns.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical functions and polynomials