Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-25T04:41:41.307Z Has data issue: false hasContentIssue false
  • English
  • Français

THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5

Published online by Cambridge University Press:  24 March 2003

JEREMY LOVEJOY
JEREMY LOVEJOY
Affiliation:
Projet ‘Theorie des Nombres’, Institut de Mathematiques de Jussieu, Case 247, 4 Place Jussieu, 75252 Paris, CEDEX 05 [email protected]
Get access

Abstract

A relationship is established between the factorization of $24 n + 1$ and the 5-divisibility of $Q(n)$ , where $Q(n)$ is the number of partitions of $n$ into distinct parts. As an application, an abundance of infinite families of congruences for $Q(n)$ modulo powers of 5 are explicitly exhibited.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 1 , January 2003 , pp. 41 - 46
Copyright
© The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

The author thanks the NSF for its generous support.