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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B64-11.pdf | 3.54 MB | Adobe PDF | 見る/開く |
| タイトル: | Arithmetic Milnor invariants and multiple power residue symbols in number fields: a précis (Algebraic Number Theory and Related Topics 2014) |
| 著者: | Morishita, Masanori |
| 著者名の別形: | 森下, 昌紀 |
| キーワード: | 11R32 57M05 57M25 Pro-l Galois groups of link type Arithmetic Milnor invariants Multiple power residue symbols Massey products |
| 発行日: | May-2017 |
| 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: | B64 |
| 開始ページ: | 143 |
| 終了ページ: | 152 |
| 抄録: | This is a research announcement of my joint work with Fumiya Amano [AM] concerning a generalization of the Legendre, power residue symbols and the Rédei triple symbol. Such a generalization was firstly discussed by the author at the conference "Algebraic number theory and related topics (2000)" [Mo2]. Afterwards, a significant progress was made by Amano on the 4-tuple quadratic residue symbol over the rationals [A2], and now we are able to introduce n-tuple m-th power residue symbols for primes of a number field. |
| 記述: | "Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiroki Takahashi and Yuichiro Hoshi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243667 |
| 出現コレクション: | B64 Algebraic Number Theory and Related Topics 2014 |
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