Ichino period for CM forms
Li Cai, Yangyu Fan, Yong Jiang
TL;DR
This paper establishes explicit relations between Ichino triple product periods and Waldspurger toric periods for CM forms using theta lifting and see-saw principles, enhancing understanding of period integrals in automorphic forms.
Contribution
It provides new explicit formulas linking Ichino and Waldspurger periods for CM forms through advanced automorphic techniques.
Findings
Explicit relations between Ichino and Waldspurger periods for CM forms.
Application of theta lifting and see-saw principle to period integrals.
Enhanced understanding of automorphic period formulas.
Abstract
In both local and global settings, we establish explicit relations between Ichino triple product period and Waldspurger toric periods for CM forms via the theta lifting and the see-saw principle.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models