An elementary approach to toy models for D. H. Lehmer's conjecture

作者：Bannai, E^*; Miezaki, T; Yudin, V A

来源：Izvestiya - Mathematics, 2011, 75(6): 1093-1106.

DOI：10.1070/IM2011v075n06ABEH002565

• theta functions
• spherical t-designs
• lattices

We use the theory of algebraic fields to establish that none of the shells of the lattice Z(2) (resp. A(2)) is a 4-design (resp. 6-design). We discuss the connection between spherical designs and imaginary quadratic fields.

• 出版日期2011
• 单位上海交通大学