Ikeda type construction of cusp forms
Henry H. Kim, Takuya Yamauchi
TL;DR
This paper surveys the Ikeda type construction of holomorphic cusp forms on tube domains, discussing key results, conjectures, and potential applications in the field of automorphic forms.
Contribution
It provides a comprehensive overview of Ikeda's construction method, including new conjectures and possible applications in automorphic form theory.
Findings
Summarizes key results of Ikeda's construction
Proposes new conjectures related to cusp forms
Discusses potential applications in automorphic forms
Abstract
This is a survey of results on the construction of holomorphic cusp forms on tube domains originally initiated by Ikeda. Besides a survey it includes conjectures and possible applications of our work.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Analytic Number Theory Research