Some Parity Results Regarding t-Core Partitions

Neville Robbins and M. V. Subbarao

A chapter in Applications of Fibonacci Numbers, 2004, pp 201-211 from Springer

Abstract: Abstract If n is a natural number, then a partition of n is a representation of n as the sum of one or more natural numbers. For example, the equation: (1) $$ 10 = 5 + 3 + 2 $$ defines a partition of 10. It is customary to use the following notation: a partition of n will be given by (2) $$ n = {\lambda _1} + {\lambda _2} + \cdots + {\lambda _r} $$ where the λ i are natrual numbers such that (3) $$ {\lambda _1} \ge {\lambda _2} \ge \cdots \ge {\lambda _r} $$ . The summands λ i are called the parts of the partition, and the integer r is the number of parts. A good reference on partitions is [1].

Keywords: 11P83 (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-306-48517-6_20

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