Northwestern University

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Theta Functions and Hermitian Jacobi Forms over Imaginary Quadratic Fields

Description:

We study modular forms, Jacobi forms, and hermitian formal Fourier-Jacobi series over imaginary quadratic ﬁelds. In the ﬁrst section, we prove that the ring of classical Jacobi forms of a ﬁxed genus g, varying index m and weight k is generated by theta functions. From this result we show that...

Keyword:

Fourier Jacobi Expansion, Modular Form, and Algebraic Number Theory

Subject:

Mathematics

Creator:

Wang, Yuxiang

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

02/01/2021

Date Created:

2020-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:15220 and etdadmin_upload_761403