Involve: A Journal of Mathematics
- Volume 1, Number 1 (2008), 9-19.
Parity of the partition function and the modular discriminant
We relate the parity of the partition function to the parity of the -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.
Involve, Volume 1, Number 1 (2008), 9-19.
Received: 3 August 2007
Revised: 28 October 2007
Accepted: 28 October 2007
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 05A17: Partitions of integers [See also 11P81, 11P82, 11P83]
Wolfe, Sally. Parity of the partition function and the modular discriminant. Involve 1 (2008), no. 1, 9--19. doi:10.2140/involve.2008.1.9. https://projecteuclid.org/euclid.involve/1513799067