A polynomial identity implying Schur’s partition theorem

Uncu, Ali

doi:10.1090/proc/14991

A polynomial identity implying Schur’s partition theorem
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by Ali Kemal Uncu PDF

Proc. Amer. Math. Soc. 148 (2020), 3307-3324 Request permission

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.

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