: Mathematics: p-adic L-function

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p-adic L-function

In mathematics, a p-adic zeta function, or more generally a p-adic L-function, is a function analogous to the Riemann zeta function, or more general L-functions, but whose domain and target are p-adic (where p is a prime number). For example, the domain could be the p-adic integers Z_p, a profinite p-group, or a p-adic family of Galois representations, and the image could be the p-adic numbers Q_p or its algebraic closure.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/P-adic_L-function)

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