WEKO3
アイテム
On Riesz means of the coefficients of the Rankn--Selberg series
http://hdl.handle.net/2237/10255
http://hdl.handle.net/2237/102556a7e4c9c-e67d-4421-9b86-e3059103b7df
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KOHJI_MATSUMOTO_On_rises_means_of_the_1999.pdf (359.0 kB)
|
|
| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-07-23 | |||||
| タイトル | ||||||
| タイトル | On Riesz means of the coefficients of the Rankn--Selberg series | |||||
| 言語 | en | |||||
| 著者 |
IVIC, ALEKSANDAR
× IVIC, ALEKSANDAR× MATSUMOTO, KOHJI× TANIGAWA, YOSHIO |
|||||
| 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 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study Δ(x;φ), the error term in the asymptotic formula for Σ_n≤xc_n, where the c_ns are generated by the Rankin-Selberg series. Our main tools are Voronoї-type formulae. First we reduce the evaluation of Δ(x;φ) to that of Δ(x;φ), the error term of the weighted sum ∑_n≤_x(x-n)c_n. Then we prove an upper bound and a sharp mean square formula for Δ_1(x;φ), by applying the Voronoї formula of Meurman's type.We also prove that an improvement of the error term in the mean square formula would imply an improvement of the upper bound of Δ(x;φ). Some other related topics are also discussed. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | Cambridge University Press | |||||
| 言語 | en | |||||
| 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 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0305-0041 | |||||
| 書誌情報 |
Mathematical Proceedings of the Cambridge Philosophical Society 巻 127, 号 1, p. 117-131, 発行日 1999-07 |
|||||
| フォーマット | ||||||
| 値 | application/pdf | |||||
| 著者版フラグ | ||||||
| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/10255 | |||||
| 識別子タイプ | HDL | |||||
