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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 [email protected]@tesco.net
CHRISTINE JONES
Affiliation:
Department of Mathematics, University of Wales Swansea, Swansea SA2 8PP, United [email protected]@tesco.net
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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

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