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Start Over Descriptor "Dyson's rank" Publisher national academy of sciences
1 results on '"Dyson's rank"'

1. Overpartitions and class numbers of binary quadratic forms.

Author

Bringmann, Kathrin and Lovejoy, Jeremy

Subjects
*GENERATING functions, *MATHEMATICAL analysis, *DIFFERENTIAL equations, *ASYMPTOTIC theory of algebraic ideals, *FUNCTIONAL analysis, *BINARY quadratic forms
Abstract

We show that the Zagier-Eisenstein series shares its nonholomorphic part with certain weak Maass forms whose holomorphic parts are generating functions for overpartition rank differences. This has a number of consequences, including exact formulas, asymptotics, and congruences for the rank differences as well as q-series identities of the mock theta type. [ABSTRACT FROM AUTHOR]

Published
2009
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