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An inner product relation on Saito-Kurokawa lifts
| Content Provider | CiteSeerX |
|---|---|
| Author | Brown, Jim |
| Abstract | Abstract. Let f be a newform of weight 2k − 2 and level M with M an odd square-free integer. Via the Saito-Kurokawa correspondence there is associated to f a Siegel newform Ff of weight k and level M. In this paper we provide a formula relating the Petersson products 〈Ff, Ff 〉 and 〈f, f〉. We use this result to give a new proof of a special case of a well-known result of Shimura on the algebraicity of a special value of a Rankin convolution L-function. 1. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Well-known Result Rankin Convolution L-function Odd Square-free Integer Saito-kurokawa Correspondence Saito-kurokawa Lift Special Value New Proof Siegel Newform Ff Petersson Product Ff Inner Product Relation |
| Content Type | Text |
| Resource Type | Article |
