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On the linear independence of p-adic polygamma values

open access: yes
In this article, we present a new linear independence criterion for values of the p-adic polygamma functions defined by J. Diamond. As an application, we obtain the linear independence of some families of values of the p-adic Hurwitz zeta function ζ_p(s,
Poëls, Anthony, Kawashima, Makoto
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