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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

Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III

http://hdl.handle.net/2237/10253
http://hdl.handle.net/2237/10253
890fa350-8d40-4eb1-be1e-f4b6059a7a74
名前 / ファイル ライセンス アクション
KOHJI_MATSUMOTO_Explicit_Formulas_2002.pdf KOHJI_MATSUMOTO_Explicit_Formulas_2002.pdf (200.5 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2008-07-22
タイトル
タイトル Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III
言語 en
著者 MATSUMOTO, KOHJI

× MATSUMOTO, KOHJI

WEKO 23832

en MATSUMOTO, KOHJI

Search repository
KATSURADA, MASANORI

× KATSURADA, MASANORI

WEKO 23833

en KATSURADA, MASANORI

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
キーワード
主題Scheme Other
主題 Riemann zeta function
キーワード
主題Scheme Other
主題 Hurwitz zeta function
キーワード
主題Scheme Other
主題 mean square
キーワード
主題Scheme Other
主題 asymptotic expansion
抄録
内容記述 The main object of this paper is the mean square I_h(s) of higher derivatives of Hurwitz zeta functions ζ(s,α) . We shall prove asymptotic formulas for I_h(1/2+it)as t→+∞with the coefficients in closed expressions (Theorem 1). We also prove a certain explicit formula for I_h(1/2+it) (Theorem 2), in which the coefficients are, in a sense, not explicit. However, one merit of this formula is that it contains sufficient information for obtaining the complete asymptotic expansion for I_h(1/2+it) when h is small. Another merit is that Theorem 1 can be strengthened with the aid of Theorem 2 (see Theorem 3). The fundamental method for the proofsisis Atkinson's dissection argument applied to the product ζ(u,α)ζ(v,α) with the independent complex variables u and v.
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/10.1023/A:1015585314625
ISSN
収録物識別子タイプ PISSN
収録物識別子 0010437X
書誌情報 Compositio Mathematica

巻 131, p. 239-266, 発行日 2002-05
フォーマット
application/pdf
著者版フラグ
値 publisher
URI
識別子 http://hdl.handle.net/2237/10253
識別子タイプ HDL
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