Shintani Lifts of Nearly Holomorphic Modular Forms
Yingkun Li, Shaul Zemel
TL;DR
This paper computes the Fourier expansion of the Shintani lift for nearly holomorphic modular forms and explores its implications for the modularity of generating series of cycle integrals.
Contribution
It provides explicit Fourier expansions of Shintani lifts for nearly holomorphic modular forms and establishes their modularity properties.
Findings
Fourier expansion formulas for Shintani lifts
Modularity of generating series of cycle integrals
Enhanced understanding of nearly holomorphic modular forms
Abstract
In this paper, we compute the Fourier expansion of the Shintani lift of nearly holomorphic modular forms. As an application, we deduce modularity properties of generating series of cycle integrals of nearly holomorphic modular forms.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Advanced Mathematical Identities