ISSN:
1572-9303
Keywords:
partitions
;
congruences
;
t-cores
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Using a very elementary argument, we prove the congruences $$\begin{gathered} a_8 (81n + 21) \equiv 0(\bmod 2){\text{ and}} \hfill \\ a_8 (81n + 75) \equiv 0(\bmod 2) \hfill \\ \end{gathered} $$ where a8(n) is the number of 8-core partitions of n. We also exhibit two infinite families of congruences modulo 2 for 8-cores.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006953609540
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