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http://dx.doi.org/10.4134/BKMS.b200375

A NOTE ON VECTOR-VALUED EISENSTEIN SERIES OF WEIGHT 3/2

Xiong, Ran (School of Mathematical Sciences East China Normal University)

Publication Information

Bulletin of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 507-514 More about this Journal

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.

Keywords

Vector valued Eisenstein series; Weil representation;

Citations & Related Records

Reference

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