Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A NOTE ON VECTOR-VALUED EISENSTEIN SERIES OF WEIGHT 3/2

  • Xiong, Ran (School of Mathematical Sciences East China Normal University)
  • Received : 2020.04.23
  • Accepted : 2020.12.09
  • Published : 2021.03.31
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Abstract

Vector-valued Eisenstein series of weight 3/2 are often not holomorphic. In this paper we prove that, for an even lattice Ḻ, if there exists an odd prime p such that Ḻ is local p-maximal and the determinant of Ḻ is divisible by p2, then the Eisenstein series of weight 3/2 attached to the discriminant form of Ḻ is holomorphic.

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References

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