Abstract
We use the theory of algebraic fields to establish that none of the shells of the lattice Z2 (resp. A2) is a 4-design (resp. 6-design). We discuss the connection between spherical designs and imaginary quadratic fields.
Original language | English |
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Pages (from-to) | 1093-1106 |
Number of pages | 14 |
Journal | Izvestiya Mathematics |
Volume | 75 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2011 |
Externally published | Yes |
Keywords
- Lattices
- Spherical t-designs
- Theta functions
ASJC Scopus subject areas
- Mathematics(all)