Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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EXACT FORMULA FOR JACOBI-EISENSTEIN SERIES OF SQUARE FREE DISCRIMINANT LATTICE INDEX

  • Xiong, Ran (School of Mathematical Sciences Tongji University)
  • Received : 2019.04.01
  • Accepted : 2019.08.23
  • Published : 2020.03.31
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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.

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Acknowledgement

Supported by : Central Universities of China

The author would like to thank the referees for their valuable comments on this work

References

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