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math.NT2020
Shintani Lifts of Nearly Holomorphic Modular Forms
Yingkun Li, Shaul Zemel
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…
math.NT2020
Seesaw Identities and Theta Contractions with Generalized Theta Functions, and Restrictions of Theta Lifts
Shaul Zemel
We prove a seesaw identity for theta functions with polynomials, and establish a formula for the corresponding theta contractions. We then use it to determine the restrictions of t…
math.NT2020
Jacobi Forms of Indefinite Lattice Index
Shaul Zemel
We define Jacobi forms of indefinite lattice index, and show that they are isomorphic to vector-valued modular forms also in this setting. We also consider several operations of th…