Combinatorial Formula for the Partition Function
Zhumagali Shomanov
TL;DR
This paper derives a combinatorial formula for the partition function p(n) and explores its connection to q-binomial coefficients, providing new interpretations and insights into partition theory.
Contribution
It introduces a novel combinatorial formula for p(n) and links partitions to q-binomial coefficients with fresh interpretations.
Findings
Derived a new combinatorial formula for p(n)
Established connections between partitions and q-binomial coefficients
Provided new interpretations for q-binomial coefficients
Abstract
In this article we will derive a combinatorial formula for the partition function p(n). In the second part of the paper we will establish connection between partitions and q-binomial coefficients and give new interpretation for q-binomial coefficients.
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 · Advanced Combinatorial Mathematics · Analytic Number Theory Research