Elementary proofs of infinitely many congruences for 8-cores

Authors
Kolitsch, LW Sellers, JA
Citation
Lw. Kolitsch et Ja. Sellers, Elementary proofs of infinitely many congruences for 8-cores, RAMANUJAN J, 3(2), 1999, pp. 221-226
Citations number
9
Categorie Soggetti
Mathematics
Journal title
RAMANUJAN JOURNAL
ISSN journal
13824090 → ACNP
Volume
3
Issue
2
Year of publication
1999
Pages
221 - 226
Database
ISI
SICI code
1382-4090(199906)3:2<221:EPOIMC>2.0.ZU;2-P
Abstract
Using a very elementary argument, we prove the congruences a(8)(81n + 21) = 0 (mod 2)and a(8)(81n + 75) = 0 (mod 2) where a(8)(n) is the number of 8-core partitions of n. We also exhibit two infinite families of congruences modulo 2 for 8-cores.