On harmonic binomial series
Mark W. Coffey

TL;DR
This paper evaluates binomial series involving harmonic numbers, offering recursion, integral formulas, and examples, with applications across number theory, algorithms, and physics.
Contribution
It introduces new methods for evaluating harmonic binomial series, including recursion relations and integral representations.
Findings
Derived recursion relations for harmonic binomial series
Provided integral representations and explicit examples
Highlighted applications in number theory and physics
Abstract
We evaluate binomial series with harmonic number coefficients, providing recursion relations, integral representations, and several examples. The results are of interest to analytic number theory, the analysis of algorithms, and calculations of theoretical physics, as well as other applications.
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 · Advanced Combinatorial Mathematics
