正特徵域上丟番圖逼近的賦距結果

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DC 欄位	值	語言
dc.contributor.author	符麥克	en_US
dc.contributor.author	FUCHS MICHAEL	en_US
dc.date.accessioned	2014-12-13T10:49:33Z	-
dc.date.available	2014-12-13T10:49:33Z	-
dc.date.issued	2009	en_US
dc.identifier.govdoc	NSC98-2115-M009-009	zh_TW
dc.identifier.uri	http://hdl.handle.net/11536/101679	-
dc.identifier.uri	https://www.grb.gov.tw/search/planDetail?id=1874099&docId=309000	en_US
dc.description.abstract	摘要：近來的研究文獻，H. Nakada and R. Natsui 在正規Laurent 級數域上考慮─ 沒有互質條件下的丟番圖逼近(Diophantine approximation)，得到其解的個數滿足強大數法則。利用早先W. M. Schmidt 所提出的方法，他們的結果是非常可能有相當程度地增進。在這個計畫中，我們將在非齊次丟番圖逼近、有限丟番圖逼近及同時丟番圖逼近，研究類似的問題，並發展出較增進的結果。	zh_TW
dc.description.abstract	Abstract. In a recent paper, H. Nakada and R. Natsui considered the Diophantine approximation problem in the field of formal Laurent series without the coprimeness condition and obtained a strong law of large numbers for the number of solutions. By using an old method due to W. M. Schmidt, it is very likely that their result can be considerable improved. In this project, we intend to work out such an improvement as well as investigate similar questions for inhomogeneous Diophantine approximation, restricted Diophantine approximation, and simultaneous Diophantine approximation.	en_US
dc.description.sponsorship	行政院國家科學委員會	zh_TW
dc.language.iso	zh_TW	en_US
dc.subject	正規 Laurent 級數域	zh_TW
dc.subject	非阿基米德丟番圖逼近	zh_TW
dc.subject	賦距丟番圖逼近	zh_TW
dc.subject	強大數法則	zh_TW
dc.subject	Formal Laurent series	en_US
dc.subject	non-Archimedean Diophantine approximation	en_US
dc.subject	metric Diophantineapproximation	en_US
dc.subject	strong laws of large numbers	en_US
dc.title	正特徵域上丟番圖逼近的賦距結果	zh_TW
dc.title	Metrical Results for Diophantine Approximation in Positive Characteristic	en_US
dc.type	Plan	en_US
dc.contributor.department	國立交通大學應用數學系(所)	zh_TW
顯示於類別：	研究計畫

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