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On elliptic function fields with the class number p+1 over finite prime fields of characteristic p≠2,3
http://hdl.handle.net/10069/32974
http://hdl.handle.net/10069/329745459822f-02b2-4ef9-99c7-7fb3cacc4ef6
名前 / ファイル | ライセンス | アクション |
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kyoikuS24_007.pdf (221.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2013-07-29 | |||||
タイトル | ||||||
タイトル | On elliptic function fields with the class number p+1 over finite prime fields of characteristic p≠2,3 | |||||
言語 | ||||||
言語 | jpn | |||||
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 | departmental bulletin paper | |||||
著者 |
Washio, Tadashi
× Washio, Tadashi |
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著者別名 | ||||||
姓名 | 鷲尾, 忠司 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let k be a finite prime field of characteristic p which differs from 2 and 3. Let K be an elliptic function field over k and denote by h the class number of K, It is shown that, in the case where K is defined by the equation y2=x3-a, (a≠0, a∈k), a necessary and sufficient condition of the equality h=p+1 is the congruence p≡2 mod. 3, and that, in the case where K is defined by the equation y2=x3-ax, (a≠0, a∈k), a necessary and sufficient condition of the equality h=p+1 is the congruence p≡3 mod. 4. | |||||
書誌情報 |
長崎大学教育学部自然科学研究報告 en : Science bulletin of the Faculty of Education, Nagasaki University 巻 24, p. 7-11, 発行日 1973-02-28 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0386443X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00178280 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
論文ID(NAID) | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | NAID | |||||
関連識別子 | 40018180692 | |||||
出版者 | ||||||
出版者 | 長崎大学教育学部 | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 長崎大学教育学部自然科学研究報告. vol.24, p.7-11; 1973 |