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

E. Bannai, T. Miezaki, V. A. Yudin

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)1093-1106
Number of pages14
JournalIzvestiya Mathematics
Volume75
Issue number6
DOIs
Publication statusPublished - 2011
Externally publishedYes

Keywords

  • Lattices
  • Spherical t-designs
  • Theta functions

ASJC Scopus subject areas

  • Mathematics(all)

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