On partitions with fixed number of even-indexed and odd-indexed odd parts

DOI10.1016/J.JNT.2016.02.031zbMath1337.05007arXiv1510.07301OpenAlexW2964179141WikidataQ114157427 ScholiaQ114157427MaRDI QIDQ290011

Alexander Berkovich, Ali Kemal Uncu

Publication date: 1 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07301

zbMATH Keywords

\(q\)-seriesalternating sum of partsBG-ranklittle Göllnitz identitypartition identitiespartitions with parity restrictions and boundsRogers-Szegő polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Recurrences (11B37) Other combinatorial number theory (11B75) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81) Representation functions (11B34)

Related Items (8)

A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities ⋮ On double sum generating functions in connection with some classical partition theorems ⋮ Weighted Rogers-Ramanujan partitions and Dyson crank ⋮ On certain unimodal sequences and strict partitions ⋮ The mathematics of lecture hall partitions ⋮ A bijection for Euler's partition theorem in the spirit of Bressoud ⋮ Euler’s Partition Theorem and Refinements Without Appeal to Infinite Products ⋮ Euler's partition theorem for all moduli and new companions to Rogers-Ramanujan-Andrews-Gordon identities

Cites Work

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