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Some functional equations and Picard constants of algebroid surfaces Dedicated to Professor Mitsuru Nakai on his 60th birthday
http://hdl.handle.net/2297/16862
http://hdl.handle.net/2297/16862cf826f68-b08a-453c-b2e5-130e35fc9425
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
TE-PR-TOHGE-K-649.pdf (1.2 MB)
Download is available from 9999/12/31.
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| アイテムタイプ | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-11-09 | |||||
| タイトル | ||||||
| タイトル | Some functional equations and Picard constants of algebroid surfaces Dedicated to Professor Mitsuru Nakai on his 60th birthday | |||||
| 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 |
Niino, Kiyoshi
× Niino, Kiyoshi× Tohge, Kazuya |
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| 提供者所属 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 金沢大学理工研究域電子情報学系 | |||||
| 書誌情報 |
Journal of the Mathematical Society of Japan 巻 48, 号 4, p. 649-665, 発行日 1996-10-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0025-5645 | |||||
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| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA0070177X | |||||
| DOI | ||||||
| 関連タイプ | isIdenticalTo | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | 10.2969/jmsj/04840649 | |||||
| 出版者 | ||||||
| 出版者 | 日本数学会 = Mathematical Society of Japan | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The authors study the functional equation $(\ast) \sum^m_{µ=0}a_µ(z)e^{µH(z)}=f(z)\sum^n_{ u=0}b_ u(z)e^{ u L(z)}$ and give an application. Let $R$ be a Riemann surface, $M(R)$ the family of non-constant meromorphic functions on $R, P(f)$ the number of values which are not taken by an element $f$ of $M(R)$. The Picard constant $P(R)$ of $R$ is defined by $P(R)=\sup(P(f)| f\in M(R)). P(R)$ is conformally invariant, $P(R)\geq2$ if $R$ is open, and $P(R)\leq2n$ if $R$ is an $n$-sheeted algebroid surface. They apply a result on $(\ast)$ to obtain a result on $P(R)$ for a four-sheeted algebroid surface $R$, which is an improvement of a result obtained earlier by M. Ozawa and K. Sawada [Kodai Math. J. 17 (1994), no. 1, 101--124; MR1262956 (95g:30039); Kodai Math. J. 18 (1995), no. 2, 199--233; MR1346901 (96m:30043)]. |
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| 権利 | ||||||
| 権利情報 | 2009 © Mathematical Society of Japan | |||||
| 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 | |||||
| 関連URI | ||||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | http://dx.doi.org/10.2969/jmsj/04840649 | |||||
| 関連URI | ||||||
| 識別子タイプ | URI | |||||
| 関連識別子 | http://ci.nii.ac.jp/naid/10002149531/ | |||||
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| 識別子タイプ | URI | |||||
| 関連識別子 | http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.jmsj/1226498919&page=record | |||||
