Sieved Partition Functions and q-Binomial Coefficients

DOI10.2307/2008807zbMath0702.05008OpenAlexW4246637897MaRDI QIDQ3480043

Dennis W. Stanton, Frank G. Garvan

Publication date: 1990

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/4883

zbMATH Keywords

partition functioncongruencestheta functionsq-binomial coefficient

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (12)

Ramanujan's partition congruences ⋮ Cranks and t-cores ⋮ Odd values of the partition function ⋮ Ramanujan-style proof of \(p_{-3}(11n+7) \equiv 0 \pmod{11}\) ⋮ On the parity of \(p(n)\). II ⋮ Multiple analogues of binomial coefficients and families of related special numbers ⋮ A short and simple proof of Ramanujan's \(\mod 11\) partition congruence ⋮ Partition function congruences: Some flowers and seeds from `Ramanujan's Garden' ⋮ Parity of the partition function ⋮ Unnamed Item ⋮ Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\) ⋮ Constructive proof for the positivity of the orbit polynomial $O_d^{n,2}(q)$

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