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Algebra i Analiz, 2012, Volume 24, Issue 3, Pages 163–171 (Mi aa1287)  
This article is cited in 14 scientific papers (total in 14 papers)

Research Papers

On tight spherical designs

G. Nebe, B. Venkov

Lehrstuhl D für Mathematik, RWTH Aachen, Aachen, Germany
Full-text PDF (165 kB) Citations (14)
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Abstract: Let $X$ be a tight $t$-design of dimension $n$, and let $t=5$ or $t=7$ (the open cases). An investigation of the lattice generated by $X$ by using arithmetic theory of quadratic forms allows one to exclude infinitely many values of $n$.
Keywords: tight $t$-design, quadratic form.
Received: 01.11.2011
English version:
St. Petersburg Mathematical Journal, 2013, Volume 24, Issue 3, Pages 485–491
DOI: https://doi.org/10.1090/S1061-0022-2013-01249-0
Bibliographic databases:
Document Type: Article
Language: English
Citation: G. Nebe, B. Venkov, “On tight spherical designs”, Algebra i Analiz, 24:3 (2012), 163–171; St. Petersburg Math. J., 24:3 (2013), 485–491
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:394
    Full-text PDF :113
    References:39
    First page:16
     
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