A distribution formula for Kashio's p-adic log-gamma function
Author
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Finat Díaz, Carlos Eugenio
Admission date
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2016-05-22T02:36:40Z
Available date
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2016-05-22T02:36:40Z
Publication date
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2016
Cita de ítem
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Journal of Number Theory 162 (2016) 463–482
en_US
Identifier
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DOI: 10.1016/j.jnt.2015.11.001
Identifier
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https://repositorio.uchile.cl/handle/2250/138409
General note
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Artículo de publicación ISI
en_US
Abstract
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We study a special case of Kashio's p-adic log Gamma-function, that we call Log Gamma(p), which combines these of Morita and Diamond. It agrees with each of these on large parts of its domain and has the advantage of being a locally analytic function. We prove a distribution formula for Log Gamma(p) which generalizes and links the known distribution formulas for Diamond's and Morita's functions.