#### Vol. 1, No. 1, 2008

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-4184 (e-only) ISSN: 1944-4176 (print) Author Index Coming Soon Other MSP Journals
Parity of the partition function and the modular discriminant

### Sally Wolfe

Vol. 1 (2008), No. 1, 9–19
##### 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.

##### Keywords
partition, congruences
Primary: 05A17