Extension of the partition sieve

DOI10.1016/0022-314X(80)90077-3zbMath0425.10014MaRDI QIDQ1135303

David M. Bressoud

Publication date: 1980

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

zbMATH Keywords

Rogers-Ramanujan identitiespartition sieve

Mathematics Subject Classification ID

Elementary theory of partitions (11P81)

Related Items

On graphical partitions, ON MULTI-COLOR PARTITIONS AND THE GENERALIZED ROGERS–RAMANUJAN IDENTITIES, Partitions with prescribed hook differences, Singular overpartitions, Unnamed Item, A further look at the sum of the parts with the same parity in the partitions of \(n\), Dyson's new symmetry and generalized Rogers-Ramanujan identities, Mahonian pairs, Overpartition pairs and two classes of basic hypergeometric series, On the difference of successive Gaussian polynomials, A proof of Bressoud's conjecture related to the Rogers-Ramanujan identities, New weighted Rogers-Ramanujan partition theorems and their implications, A combinatorial proof of the Rogers--Ramanujan and Schur identities, Enumeration of partitions with prescribed successive rank parity blocks, Restricted partition pairs, Singular overpartitions and partitions with prescribed hook differences, A bijection for partitions with all ranks at least \(t\), New truncated theorems for three classical theta function identities

Cites Work

• A generalization of the Rogers-Ramanujan identities for all moduli
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• A NOTE ON RANKS AND CONJUGACY OF PARTITIONS
• Sieves in the Theory of Partitions
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