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Bull. Korean Math. Soc. 2020; 57(2): 481-488

Online first article October 16, 2019      Printed March 31, 2020

https://doi.org/10.4134/BKMS.b190342

Copyright © The Korean Mathematical Society.

Exact formula for Jacobi-Eisenstein series of square free discriminant lattice index

Ran Xiong

Tongji University

Abstract

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In this paper we give an exact formula for the Fourier coefficients of the Jacobi-Eisenstein series of square free discriminant lattice index. For a special case the discriminant of lattice is prime we show that the Jacobi-Eisenstein series corresponds to a well known Eisenstein series of modular forms.

Keywords: Jacobi forms of lattice index, Fourier coefficients of Jacobi-Eisenstein series

MSC numbers: 11F50, 11M36

Supported by: This work is supported by the Fundamental Research Funds for the Central Universities of China (grant no. 22120180508).

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