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On Morita's p-adic gamma function

Published online by Cambridge University Press:  24 October 2008

Daniel Barsky
Daniel Barsky
Affiliation:
U.E.R. de Mathématiques, Paris
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Extract

Y. Morita proved that, for each prime number p, one can define a p-adic continuous function Γp(x) from p to p, interpolating the sequence

where m runs through the integers m prime to p with 1 ≤ m < n. Our aim is to show how this result is related to Dwork's result on the radius of convergence of

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 89 , Issue 1 , January 1981 , pp. 23 - 27
Copyright
Copyright © Cambridge Philosophical Society 1981

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References

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