On a generalization of spherical designs

Tsuyoshi Miezaki

doi:10.1016/j.disc.2012.11.012

On a generalization of spherical designs

Tsuyoshi Miezaki^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we define the concept of a spherical T-design for a finite subset of a sphere. Then, we give some examples of such designs using the ℤ²-lattice, which is related to Lehmer's conjecture.

Original language	English
Pages (from-to)	375-380
Number of pages	6
Journal	Discrete Mathematics
Volume	313
Issue number	4
DOIs	https://doi.org/10.1016/j.disc.2012.11.012
Publication status	Published - 2013
Externally published	Yes

Keywords

Hecke operator
Lattices
Modular forms
Spherical t-design
Weighted theta series

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2012.11.012

Cite this

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title = "On a generalization of spherical designs",

abstract = "In this paper, we define the concept of a spherical T-design for a finite subset of a sphere. Then, we give some examples of such designs using the ℤ2-lattice, which is related to Lehmer's conjecture.",

keywords = "Hecke operator, Lattices, Modular forms, Spherical t-design, Weighted theta series",

author = "Tsuyoshi Miezaki",

note = "Funding Information: This work was supported by JSPS KAKENHI Grant Number 22840003 , 24740031 . ",

year = "2013",

doi = "10.1016/j.disc.2012.11.012",

language = "English",

volume = "313",

pages = "375--380",

journal = "Discrete Mathematics",

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T1 - On a generalization of spherical designs

AU - Miezaki, Tsuyoshi

N1 - Funding Information: This work was supported by JSPS KAKENHI Grant Number 22840003 , 24740031 .

PY - 2013

Y1 - 2013

N2 - In this paper, we define the concept of a spherical T-design for a finite subset of a sphere. Then, we give some examples of such designs using the ℤ2-lattice, which is related to Lehmer's conjecture.

AB - In this paper, we define the concept of a spherical T-design for a finite subset of a sphere. Then, we give some examples of such designs using the ℤ2-lattice, which is related to Lehmer's conjecture.

KW - Hecke operator

KW - Lattices

KW - Modular forms

KW - Spherical t-design

KW - Weighted theta series

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U2 - 10.1016/j.disc.2012.11.012

DO - 10.1016/j.disc.2012.11.012

M3 - Article

AN - SCOPUS:84870152936

SN - 0012-365X

VL - 313

SP - 375

EP - 380

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 4

ER -

On a generalization of spherical designs

Abstract

Keywords

ASJC Scopus subject areas

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