A Polynomial Identity Implying Schur's Partition Theorem

Ali Kemal Uncu

doi:10.48550/arXiv.1903.01157

A Polynomial Identity Implying Schur's Partition Theorem

Ali Kemal Uncu

Research Institute for Symbolic Computation

Research output: Working paper and reports › Preprint

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 Kurşungöz. We also present some related polynomial and q-series identities.

Original language	English
Number of pages	11
DOIs	https://doi.org/10.48550/arXiv.1903.01157
Publication status	Published - 2019

Publication series

Name	arXiv.org
ISSN (Print)	2331-8422

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

JKU Focus areas

Digital Transformation

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10.48550/arXiv.1903.01157

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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{\"o}z. We also present some related polynomial and q-series identities.",

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year = "2019",

doi = "10.48550/arXiv.1903.01157",

language = "English",

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type = "WorkingPaper",

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AB - 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 Kurşungöz. We also present some related polynomial and q-series identities.

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U2 - 10.48550/arXiv.1903.01157

DO - 10.48550/arXiv.1903.01157

M3 - Preprint

T3 - arXiv.org

BT - A Polynomial Identity Implying Schur's Partition Theorem

ER -

A Polynomial Identity Implying Schur's Partition Theorem

Abstract

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