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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The $ p$-adic gamma measures


Author: Jack Diamond
Journal: Proc. Amer. Math. Soc. 75 (1979), 211-217
MSC: Primary 12B40; Secondary 12B30
MathSciNet review: 532138
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Abstract: The p-adic log gamma function and its derivatives are used to define distributions and measures on the p-adic units. These measures are then used to interpolate the Leopoldt-Kubota p-adic L-functions on the positive integers.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0532138-1
PII: S 0002-9939(1979)0532138-1
Keywords: p-adic measures, log gamma function, L-functions
Article copyright: © Copyright 1979 American Mathematical Society