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What (who) is L-function - definition
L-function
MEROMORPHIC FUNCTION ON THE COMPLEX PLANE
L-functions; L-function of an elliptic curve; L function
In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An L-series is a Dirichlet series, usually convergent on a half-plane, that may give rise to an L-function via analytic continuation.
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 Zp, a profinite p-group, or a p-adic family of Galois representations, and the image could be the p-adic numbers Qp or its algebraic closure.
Shimizu L-function
In mathematics, the Shimizu L-function, introduced by , is a Dirichlet series associated to a totally real algebraic number field.
