On the L - Function
نویسنده
چکیده
Let CA/Q be the curve y = x + A, and let L(s, JA) denote the L-series of its Jacobian. Under the assumption that the sign in the functional equation for L(s, JA) is +1, we evaluate the critical value L(1, JA) in terms of the value of a theta series for Q( √ 5) depending on A at a CM point coming from Q(ζ5).
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