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CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES
http://hdl.handle.net/2237/20354
http://hdl.handle.net/2237/203548b6105b0-a49a-449b-993d-23e66b5c0ecd
名前 / ファイル | ライセンス | アクション |
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33.pdf (222.9 kB)
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Item type | 図書の一部 / Book Chapter(1) | |||||
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公開日 | 2014-06-20 | |||||
タイトル | ||||||
タイトル | CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES | |||||
言語 | en | |||||
著者 |
EGAMI, SHIGEKI
× EGAMI, SHIGEKI× MATSUMOTO, KOHJI |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES, HIGEKI EGAMI, KOHJI MATSUMOTO, in Series on Number Theory and Its Applications v.2: Number Theory : Sailing on the Sea of Number Theory edited by S Kanemitsu, J-Y Liu, Copyright @2007. with permission from World Scientific Publishing Co. Pte. Ltd. | |||||
抄録 | ||||||
内容記述 | In this paper, we first give a brief survey on the theory of meromorphic continuation and natural boundaries of multiple Dirichlet series. Then we consider the double Dirichlet series Φ2(s) defined by the convolution of logarithmic derivatives of the Riemann zeta-function. Especially we propose the conjecture that Φ2(s) would have the natural boundary on ℜs = 1, and give a supportive evidence. We further present an application of Φ2(s) to the Riesz mean, and discuss its multiple analogues. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
内容記述 | ||||||
内容記述 | Proceedings of the 4th China-Japan Seminar Weihai, China, 30 August – 3 September 2006 | |||||
言語 | en | |||||
内容記述タイプ | Other | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | World Scientific Publishing | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_3248 | |||||
タイプ | book part | |||||
ISBN | ||||||
関連タイプ | isPartOf | |||||
識別子タイプ | ISBN | |||||
関連識別子 | 978-981-270-810-6 | |||||
関連情報 | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | URI | |||||
関連識別子 | http://www.worldscientific.com/worldscibooks/10.1142/6516 | |||||
書誌情報 |
en : Series on Number Theory and Its Applications v.2: Number Theory : Sailing on the Sea of Number Theory p. 1-23, 発行日 2007-07 |
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著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://www.worldscientific.com/worldscibooks/10.1142/6516 | |||||
識別子タイプ | URI | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/20354 | |||||
識別子タイプ | HDL |