# A Polynomial Identity Implying Schur's Partition Theorem

**Authors:** Ali K. Uncu

arXiv: 1903.01157 · 2019-03-05

## TL;DR

This paper introduces a new polynomial identity that implies Schur's partition theorem, offering combinatorial interpretations and related identities in the realm of partition theory and q-series.

## Contribution

The paper presents a novel polynomial identity that implies Schur's partition theorem and provides combinatorial and q-series interpretations.

## Key findings

- New polynomial identity implies Schur's partition theorem
- Combinatorial interpretations of polynomial expressions
- Related polynomial and q-series identities

## Abstract

We propose and prove a new polynomial identity that implies Schur's partition theorem. We give combinatorial interpretations of some of our expressions in the spirit of Kur\c{s}ung\"oz. We also present some related polynomial and $q$-series identities.

## Full text

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## References

23 references — full list in the complete paper: https://tomesphere.com/paper/1903.01157/full.md

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Source: https://tomesphere.com/paper/1903.01157