A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS

DOI10.1142/S1793042105000157zbMath1087.11063MaRDI QIDQ5697212

Jeremy Lovejoy

Publication date: 17 October 2005

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

zbMATH Keywords

PartitionsoverpartitionsSchur's theoremconstant termsGöllnitz' theorem\({}_6\psi_6\) summation

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (17)

Identities for overpartitions with even smallest parts ⋮ A generalisation of a partition theorem of Andrews ⋮ Overpartitions and Bressoud's conjecture. I ⋮ Almost 3-regular overpartitions ⋮ Rademacher-type formulas for restricted partition and overpartition functions ⋮ Separable integer partition classes ⋮ Weighted words at degree two. I: Bressoud's algorithm as an energy transfer ⋮ On generalizations of partition theorems of Schur and Andrews to overpartitions ⋮ Andrews-Gordon type series for Schur's partition identity ⋮ The method of weighted words revisited ⋮ A generalisation of a second partition theorem of Andrews to overpartitions ⋮ A Rademacher type formula for partitions and overpartitions ⋮ RANK AND CONGRUENCES FOR OVERPARTITION PAIRS ⋮ Combinatorial proofs and generalization of Bringmann, Lovejoy and Mahlburg's overpartition theorems ⋮ On a nonlinear relation for computing the overpartition function ⋮ Generalizations of Capparelli's identity ⋮ Arithmetic properties of Schur-type overpartitions

Cites Work

• Partition identities involving gaps and weights. II
• Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication
• Gordon's theorem for overpartitions.
• A new four parameter \(q\)-series identity and its partition implications
• Refinements and generalizations of Capparelli's conjecture on partitions
• Partition identities involving gaps and weights
• Overpartitions
• Overpartition Theorems of the Rogers–Ramanujan Type

This page was built for publication: A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS