L-Function of an Elliptic Curve and Its Analytic Continuation
We introduce the L-function of an elliptic curve E over a number field and derive its elementary convergence properties. An L-function of this type was first introduced by Hasse, and the concept was greatly extended by Weil. For this reason it is frequently called the Hasse-Weil L-function.
KeywordsFunctional Equation Analytic Continuation Zeta Function Modular Form Elliptic Curve
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