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2008 Parity of the partition function and the modular discriminant
Sally Wolfe
Involve 1(1): 9-19 (2008). DOI: 10.2140/involve.2008.1.9

Abstract

We relate the parity of the partition function to the parity of the q-series coefficients of certain powers of the modular discriminant using their generating functions. This allows us to make statements about the parity of the initial values of the partition function and to obtain a modified Euler recurrence for its parity.

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Sally Wolfe. "Parity of the partition function and the modular discriminant." Involve 1 (1) 9 - 19, 2008. https://doi.org/10.2140/involve.2008.1.9

Information

Received: 3 August 2007; Revised: 28 October 2007; Accepted: 28 October 2007; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1146.05300
MathSciNet: MR2403063
Digital Object Identifier: 10.2140/involve.2008.1.9

Subjects:
Primary: 05A17

Keywords: congruences , Partition

Rights: Copyright © 2008 Mathematical Sciences Publishers

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