A theorem on the cores of partitions

2008/01/31 by Jørn B. Olsson, J. B. Olsson, Olsson, J. B. · 1 citation
Mathematics · #05A17 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Functional Equations Stability Results #math.CO #msc:05A17

paper · pdf · doi:10.48550/arxiv.0801.4884

9 pages

arxiv created 2008/01/31 · openalex publication_date 2008/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If s and t are relatively prime positive integers we show that the s-core of a t-core partition is again a t-core partition

Cited by

• The GBG-Rank and t-Cores I. Counting and 4-Cores

Related

• Bijections between t-Core Partitions and t-Tuples
• Even (s, t)-core partitions and self-associate characters of S_n
• A generalisation of core partitions
• Core partitions with distinct parts
• Divisibility of an analogue of t-core partition function by powers of primes