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Currently displaying 1 – 4 of 4

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Overpartition pairs

Jeremy Lovejoy — 2006

Annales de l’institut Fourier

An overpartition pair is a combinatorial object associated with the $q$ -Gauss identity and the $_{1} ψ_{1}$ summation. In this paper, we prove identities for certain restricted overpartition pairs using Andrews’ theory of recurrences for well-poised basic hypergeometric series and the theory of Bailey chains.

M₂-rank differences for overpartitions

Jeremy Lovejoy; Robert Osburn — 2010

Acta Arithmetica

$M_{2}$ -rank differences for partitions without repeated odd parts

Jeremy Lovejoy; Robert Osburn — 2009

Journal de Théorie des Nombres de Bordeaux

We prove formulas for the generating functions for $M_{2}$ -rank differences for partitions without repeated odd parts. These formulas are in terms of modular forms and generalized Lambert series.

Quadratic forms and four partition functions modulo 3.

Lovejoy, Jeremy; Osburn, Robert — 2011

Integers

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