Experimental Mathematics
previous :: next

Partitions with Parts in a Finite Set and with Parts Outside a Finite Set

G. Almkvist

Source: Experiment. Math. Volume 11, Issue 4 (2002), 449-456.

Abstract

Exact formulas for the number of partitions with parts in a finite set are proved without the use of partial fractions. Corresponding formulas with parts outside of a finite set are found. Several numerical examples are given.

Primary Subjects: 11P81
Secondary Subjects: 05A17, 11B34
Keywords: Partitions; asymptotics of partitions; additive number theory

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.em/1057864654
Mathematical Reviews number (MathSciNet): MR1969636
Zentralblatt MATH identifier: 05032279

previous :: next

2009 © A K Peters, Ltd.