A polynomial identity implying Schur’s partition theorem
Copyright policy )A polynomial identity implying Schur’s partition theorem
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.
11 pages
- Austrian Academy of Sciences Austria
05A15, 05A17, 05A19, 11B37, 11P83, Combinatorial aspects of partitions of integers, Schur's partition theorem, Mathematics - Number Theory, \(q\)-trinomial coefficients, Exact enumeration problems, generating functions, \(q\)-series, Partitions; congruences and congruential restrictions, integer partitions, FOS: Mathematics, Mathematics - Combinatorics, Recurrences, Combinatorics (math.CO), Number Theory (math.NT), Combinatorial identities, bijective combinatorics
05A15, 05A17, 05A19, 11B37, 11P83, Combinatorial aspects of partitions of integers, Schur's partition theorem, Mathematics - Number Theory, \(q\)-trinomial coefficients, Exact enumeration problems, generating functions, \(q\)-series, Partitions; congruences and congruential restrictions, integer partitions, FOS: Mathematics, Mathematics - Combinatorics, Recurrences, Combinatorics (math.CO), Number Theory (math.NT), Combinatorial identities, bijective combinatorics
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