Working in the ring A of formal power series in one variable over the field of two elements, we have recently established lower bounds for both the number of even values and the number of odd values for a wide variety of partition functions. Here, we introduce two further ideas, differential equations in A and finite perturbations, to prove theorems on the parity of a considerably larger class of partition functions.
|Original language||English (US)|
|Number of pages||19|
|Journal||Journal fur die Reine und Angewandte Mathematik|
|State||Published - Jan 1 2004|
All Science Journal Classification (ASJC) codes
- Applied Mathematics