2014/12/20 by Shuichi Hayashida, Hayashida, Shuichi
Mathematics · #11F37 #11F46 #11F50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F37 #msc:11F46 #msc:11F50
paper · pdf · doi:10.48550/arxiv.1412.6590
70 pages. arXiv admin note: text overlap with arXiv:1305.1074
arxiv created 2014/12/20 · openalex publication_date 2014/12/20 · arxiv updated 2014/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to show lifts from pairs of two elliptic modular forms to Siegel modular forms of half-integral weight of even degree under the assumption that the constructed Siegel modular form is not identically zero. The key of the proof is to introduce a certain generalization of the Maass relation for Siegel modular forms of half-integral weight of general degree.