Archive | 2021
A note on vector-valued Eisenstein series of weight $3/2$
Abstract
Vector-valued Eisenstein series of weight 3/2 are often not holomorphic. In this paper we prove that, for an even lattice L, if there exists an odd prime p such that L is local p-maximal and the determinant of L is divisible by p2, then the Eisenstein series of weight 3/2 attached to the discriminant form of L is holomorphic.