Exact formula for Jacobi-Eisenstein series of square free discriminant lattice index
Bull. Korean Math. Soc. 2020 Vol. 57, No. 2, 481-488
Published online October 16, 2019
Printed March 31, 2020
Ran Xiong
Tongji University
Abstract : 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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