On Riesz mean for the coefficients of twisted Rankin-Selberg L-functions
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概要
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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. Ivi'c-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 non-trivial character mod d. Ivi'c-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.
- 社団法人 日本数学会の論文
- 2003-01-01
著者
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Ichihara Yumiko
Department Of Biochemistry Nippon Roche Research Center
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Ichihara Yumiko
Department Of Mathematical Sciences School Of Science And Engineering Waseda University
関連論文
- METABOLIC FATE OF TENOXICAM AND A POSSIBLE MECHANISM OF ANTI-INFLAMMATORY ACTIVITY
- The evaluation of the sum over arithmetic progressions for the coefficients of the Rankin-Selberg series
- On Riesz mean for the coefficients of twisted Rankin-Selberg L-functions