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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B52-06.pdf | 2.04 MB | Adobe PDF | 見る/開く |
| タイトル: | Paperfolding and modular functions : Dedicated to Professor Takashi Aoki on the occasion of his 60th birthday (Exponential Analysis of Differential Equations and Related Topics) |
| 著者: | Sebbar, Ahmed |
| キーワード: | 37K20 11A55 11F11/ paperfolding theta function eta function Dirichlet L-series Erdos-Turan theorem |
| 発行日: | Nov-2014 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B52 |
| 開始ページ: | 97 |
| 終了ページ: | 126 |
| 抄録: | The two lacunary series $chi$+(z)=displaystyle sum_{ngeq 0}z^{2^{n}}, x-(z)=displaystyle sum_{ngeq 0}(-1)^{n}z^{2^{n}} and $xi$(z)=displaystyle sum_{ngeq 1}s_{n}z^{n}, b s_{2n}=s_{n}, s_{2n+1}=(-1)^{n} are all connected to the paperfolding. We study their behaviours at z=1 and some of their relations to modular functions. We also investigate the zeros of their partial sums. |
| 記述: | "Exponential Analysis of Differential Equations and Related Topics". October 15～18, 2013. edited by Yoshitsugu Takei. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2014 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/232913 |
| 出現コレクション: | B52 Exponential Analysis of Differential Equations and Related Topics |
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