2013/05/06 by Shuichi Hayashida, Hayashida, Shuichi
Mathematics · #11F46 (primary) #11F66 (secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F46 #msc:11F66
paper · pdf · doi:10.48550/arxiv.1305.1075
arxiv created 2013/05/06 · openalex publication_date 2013/05/06 · arxiv updated 2013/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Some generalizations of the Maass relation for Siegel modular forms of higher degrees have been obtained by several authors. In the present article we first give a new generalization of the Maass relation for Siegel-Eisenstein series of arbitrary degrees. Furthermore, we show that the Duke-Imamoglu-Ibukiyama-Ikeda lifts satisfy this generalized Maass relation with some modifications. As an application of the generalized Maass relation in the present article we give a new proof of the Miyawaki-Ikeda lifts of two elliptic modular forms. Namely, we compute the standard L-function of the Miyawaki-Ikeda lifts of two elliptic modular forms by using the generalized Maass relation.