On Riesz mean for the coefficients of twisted Rankin-Selberg L-functions
Yumiko ICHIHARA
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Source: Crossref
Published: Jan 1, 2003
DOI: 10.2969/jmsj/1196890843
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Rankin obtained the asymptotic formula for the sum of coefficients of Rankin-Selberg L-series associated with a cusp form and a trivial character. Ivic´- Matsumoto-Tanigawa studied the error term in it by using a mean value formula which is yielded from the Voronoï formula of the Riesz mean. In this paper, we consider more general Rankin-Selberg L-series. It is associated with two cusp forms and a nontrivial character mod d. Ivic´-Matsumoto-Tanigawa's method cannot be applied directly to our case. We consider the sum of coefficients of twisted Rankin-Selberg L-series by a modification of their method.
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