ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS
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- AKINARI HOSHI
- Department of Mathematics, Faculty of Science, Rikkyo University, 3-34-1 Nishi Ikebukuro Toshima-ku, Tokyo 171-8501, Japan
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- KATSUYA MIYAKE
- Department of Mathematics, School of Fundamental Science and Engineering, Waseda University, 3-4-1 Ohkubo Shinjuku-ku, Tokyo 169-8555, Japan
書誌事項
- 公開日
- 2010-08
- 資源種別
- journal article
- DOI
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- 10.1142/s179304211000337x
- 10.48550/arxiv.0804.4875
- 公開者
- World Scientific Pub Co Pte Lt
この論文をさがす
説明
<jats:p> We study a general method of the field intersection problem of generic polynomials over an arbitrary field k via formal Tschirnhausen transformation. In the case of solvable quintic, we give an explicit answer to the problem by using multi-resolvent polynomials. </jats:p>
収録刊行物
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- International Journal of Number Theory
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International Journal of Number Theory 06 (05), 1047-1081, 2010-08
World Scientific Pub Co Pte Lt
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キーワード
詳細情報 詳細情報について
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- CRID
- 1360004236173760768
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- ISSN
- 17937310
- 17930421
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- 資料種別
- journal article
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE