Hostname: page-component-f554764f5-wjqwx Total loading time: 0 Render date: 2025-04-09T02:46:45.290Z Has data issue: false hasContentIssue false
  • English
  • Français

A CONGRUENCE FOR FACTORIALS

Published online by Cambridge University Press:  14 June 2004

FRANCIS CLARKE  and
CHRISTINE JONES
FRANCIS CLARKE
Affiliation:
Department of Mathematics, University of Wales Swansea, Swansea SA2 8PP, United KingdomF.Clarke@Swansea.ac.ukrabbii@tesco.net
CHRISTINE JONES
Affiliation:
Department of Mathematics, University of Wales Swansea, Swansea SA2 8PP, United KingdomF.Clarke@Swansea.ac.ukrabbii@tesco.net
Get access

Abstract

The methods of $p$-adic analysis are used to prove a congruence for $(pn)!/(p^{n}n!)$ modulo a power of a prime $p$.

Keywords

11B65 (primary)11S80 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 4 , July 2004 , pp. 553 - 558
Copyright
© The London Mathematical Society 2004

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.)

Article purchase

Temporarily unavailable