Congruences to Ikeda-Miyawaki lifts and triple L-values of elliptic modular forms

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• 作者：Tomoyoshi Ibukiyama ; Hidenori Katsurada ; Cris Poor ; David S. Yuen
• 关键词：11F46 ; 11F67
• 刊名：Journal of Number Theory
• 出版年：2014
• 出版时间：January, 2014
• 年：2014
• 卷：134
• 期：Complete
• 页码：142-180
• 全文大小：528 K

文摘

In this paper, we consider congruences between the Ikeda-Miyawaki lift and other Siegel modular forms, relating these congruences to critical values of L-functions by using Ikeda?s conjecture on periods. We also give general formulas for critical values of triple L-functions and prove results, both in theory and in examples, on the relation between such congruences and critical values.