An explicit formula for the zeros of the Rankin-Selberg L-function via the projection of C∞-modular forms
نویسندگان
چکیده
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15 صفحه اولOn the Poles of Rankin-selberg Convolutions of Modular Forms
The Rankin-Selberg convolution is usually normalized by the multiplication of a zeta factor. One naturally expects that the non-normalized convolution will have poles where the zeta factor has zeros, and that these poles will have the same order as the zeros of the zeta factor. However, this will only happen if the normalized convolution does not vanish at the zeros of the zeta factor. In this ...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2008
ISSN: 0386-5991
DOI: 10.2996/kmj/1206454556