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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

ASYMPTOTIC EXPANSIONS OF MULTIPLE ZETA FUNCTIONS AND POWER MEAN VALUES OF HURWITZ ZETA FUNCTIONS

http://hdl.handle.net/2237/10284
http://hdl.handle.net/2237/10284
47757c22-49ce-4fb6-8d85-99827f4a74b5
名前 / ファイル ライセンス アクション
KOHJI_MATSUMOTO_Asymptotic_Expansions_of_Multiple_Zeta_2002.pdf KOHJI_MATSUMOTO_Asymptotic_Expansions_of_Multiple_Zeta_2002.pdf (228.7 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 23978

en EGAMI, SHIGEKI

Search repository
MATSUMOTO, KOHJI

× MATSUMOTO, KOHJI

WEKO 23979

en MATSUMOTO, KOHJI

Search repository
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
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
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