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ASYMPTOTIC EXPANSIONS OF MULTIPLE ZETA FUNCTIONS AND POWER MEAN VALUES OF HURWITZ ZETA FUNCTIONS
http://hdl.handle.net/2237/10284
http://hdl.handle.net/2237/1028447757c22-49ce-4fb6-8d85-99827f4a74b5
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2008-07-25 | |||||
タイトル | ||||||
タイトル | ASYMPTOTIC EXPANSIONS OF MULTIPLE ZETA FUNCTIONS AND POWER MEAN VALUES OF HURWITZ ZETA FUNCTIONS | |||||
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 | Cambridge University Press | |||||
抄録 | ||||||
内容記述 | Let ζ(s,α) be the Hurwitz zeta function with parameter α. Power mean values of the form ∑^q_a=1ζ(s,α/q)^h or ∑^q_a=1|ζ(s,α/q)|^2h are studied, where q and h are positive integers. These mean values can be written as linear combinations of, ∑^q_a=1 ζ_r(s_1,...,s_r;a/q), where ζ_r(s_1,...,s_r;α)is a generalization of Euler-Zagier multiple zeta sums. The Mellin-Barnes integral formula is used to prove an asymptotic expansion of ∑^q_a=1ζ_r(s_1,...,s_r;a/q) with respect to q. Hence a general way of deducing asymptotic expansion formulas for ∑^q_a=1ζ(s,α/q)^h and ∑^q_a=1|ζ(s,α/q)|^2h is obtained. In particular, the asymptotic expansion of ∑^q_a=1ζ(1/2,a/q)^3 with respect to q is written down. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Cambridge University Press | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1112/S0024610702003253 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0024-6107 | |||||
書誌情報 |
Journal of the London Mathematical Society 巻 66, 号 1, p. 41-60, 発行日 2002-08 |
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フォーマット | ||||||
application/pdf | ||||||
著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/10284 | |||||
識別子タイプ | HDL |