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Ikeda lift : ウィキペディア英語版
Ikeda lift

In mathematics, the Ikeda lift is a lifting of modular forms to Siegel modular forms. The existence of the lifting was conjectured by W. Duke and Ö. Imamoḡlu and also by T. Ibukiyama, and the lifting was constructed by . It generalized the Saito–Kurokawa lift from modular forms of weight 2''k'' to genus 2 Siegel modular forms of weight ''k'' + 1.
==Statement==

Suppose that ''k'' and ''n'' are positive integers of the same parity. The Ikeda lift takes a Hecke eigenform of weight 2''k'' for SL2(Z) to a Hecke eigenform in the space of Siegel modular forms of weight ''k''+''n'', degree 2''n''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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