Basic Rankin-selberg
نویسنده
چکیده
We present the simplest possible example of the Rankin-Selberg method, namely for a pair of holomorphic modular forms for SL(2,Z), treated independently in 1939 by Rankin and 1940 by Selberg. (Rankin has remarked that the general idea came from his advisor and mentor, Ingham.) We also recall a proof of the analytic continuation of the relevant Eisenstein series. That is, we consider the simplest instance of an identity 〈f · Es, g〉 = L-function where f, g are cuspforms and Es is an Eisenstein series. Or, contrariwise, one might consider
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