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math.NT2008
Local theta correspondence and the lifting of Duke, Imamoglu and Ikeda
Rainer Schulze-Pillot
We use results on the local theta correspondence to prove that for large degrees the Duke-Imamoglu-Ikeda lifting of an elliptic modular form is not a linear combination of theta se…
math.NT2005
Genus theta series, Hecke operators and the basis problem for Eisenstein series
Hidenori Katsurada, Rainer Schulze-Pillot
We derive explicit formulas for the action of the Hecke operator on the genus theta series of a positive definite integral quadratic form and prove a theorem on the generati…
math.NT2002★ 3 cited
On the global Gross-Prasad conjecture for Yoshida liftings
Siegfried Böcherer, Masaaki Furusawa, Rainer Schulze-Pillot
We restrict a Siegel modular cusp form of degree 2 and square free level that is a Yoshida lifting (a lifting from the orthogonal group of a definite quaternion algebra) to the emb…