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

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

doi:10.1070/IM2011v075n06ABEH002565

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

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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1093-1106
Number of pages	14
Journal	Izvestiya Mathematics
Volume	75
Issue number	6
DOIs	https://doi.org/10.1070/IM2011v075n06ABEH002565
Publication status	Published - 2011
Externally published	Yes

Keywords

Lattices
Spherical t-designs
Theta functions

ASJC Scopus subject areas

Mathematics(all)

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10.1070/IM2011v075n06ABEH002565

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KW - Theta functions

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

Abstract

Keywords

ASJC Scopus subject areas

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