P-adic L-functions are a concept in number theory and algebraic geometry that arises in the study of p-adic numbers and L-functions. They are closely related to both classical L-functions (like Riemann zeta functions and Dirichlet L-functions) and p-adic analysis.
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A p-adic L-function is a -adic analytic function or measure interpolating suitably adjusted special values of an L-function. The Kubota-Leopoldt p-adic L-function is the basic example attached to a Dirichlet character.