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A CONGRUENCE FOR FACTORIALS

Published online by Cambridge University Press:  14 June 2004

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
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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 $p$.

Type
Papers
Copyright
© The London Mathematical Society 2004

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