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Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices
http://hdl.handle.net/2297/44886
http://hdl.handle.net/2297/44886373808d6-6c09-46c0-bcc6-6842a7f6d038
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SC-PR-OURA-M-19.pdf (352.5 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-10-03 | |||||
| タイトル | ||||||
| タイトル | Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 著者 |
Oura, Manabu
× Oura, Manabu× Ozeki, Michio |
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| 書誌情報 |
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg 巻 86, 号 1, p. 19-53, 発行日 2016-04-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0025-5858 | |||||
| NCID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00504553 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | 10.1007/s12188-016-0120-y | |||||
| 出版者 | ||||||
| 出版者 | Springer Verlag | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In a previous paper we showed that if one particular Fourier coefficient of the Siegel theta series of degree 4 for a 32-dimensional even unimodular extremal lattice is known then the other Fourier coefficients of the series are in principle determined. In this paper we choose the quaternary positive definite symmetric matrix (Formula presented.), and calculate the Fourier coefficient (Formula presented.) of the Siegel theta series of degree 4 associated with the five even unimodular extremal lattices which come from the five binary self-dual extremal [32,16,8] codes. As a result we can show that the five Siegel theta series of degree 4 associated with the five 32-dimensional even unimodular extremal lattices are distinct. © 2016 Mathematisches Seminar der Universität Hamburg and Springer-Verlag Berlin Heidelberg | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Embargo Period 12 months | |||||
| 著者版フラグ | ||||||
| 出版タイプ | AM | |||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
