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

^*この研究の対応する著者

研究成果: Article › 査読

4 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	1093-1106
ページ数	14
ジャーナル	Izvestiya Mathematics
巻	75
号	6
DOI	https://doi.org/10.1070/IM2011v075n06ABEH002565
出版ステータス	Published - 2011
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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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

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