數論中的局部-全域原則

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dc.contributor夏良忠zh_TW
dc.contributorLiang-Chung Hsiaen_US
dc.contributor.author藍茂愷zh_TW
dc.contributor.authorMao-Kai Lanen_US
dc.date.accessioned2019-09-05T01:11:05Z
dc.date.available2014-7-7
dc.date.available2019-09-05T01:11:05Z
dc.date.issued2014
dc.description.abstract在這篇論文中，我們探討算術當中最重要的課題之一：局部-全域原則。 作為第一個例子，我們將呈現著名的有理域 Q 上之哈瑟-閔可夫斯基定理及其幾個應用。 第二個例子則是乘冪上的哈瑟原則。 第三個例子我們欲討論當 p 不等於 2 時，函數域 F_p(t) 上之哈瑟-閔可夫斯基定理。 最後，我們將研究局部-全域原則的幾個反例。zh_TW
dc.description.abstractIn this thesis, we investigate one of the most important topics in arithmetic: the local-global principle. As a first example, we will present the well-known Hasse-Minkowski Theorem for Q and give some of its applications. The second example will be the Hasse principle for powers. The third one, we would like to discuss the Hasse-Minkowski Theorem for F_p(t) with p≠2. Finally, we will study some counterexamples to the local-global principle.en_US
dc.description.sponsorship數學系zh_TW
dc.identifierGN060140002S
dc.identifier.urihttp://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN060140002S%22.&%22.id.&
dc.identifier.urihttp://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101705
dc.language英文
dc.subject局部-全域原則zh_TW
dc.subject哈瑟原則zh_TW
dc.subject二次互反律zh_TW
dc.subject希爾伯特符號zh_TW
dc.subject哈瑟-閔可夫斯基定理zh_TW
dc.subject平方和zh_TW
dc.subjectLocal-Global Principleen_US
dc.subjectHasse Principleen_US
dc.subjectQuadratic Reciprocity Lawen_US
dc.subjectHilbert Symbolen_US
dc.subjectHasse-Minkowski Theoremen_US
dc.subjectSum of Squaresen_US
dc.title數論中的局部-全域原則zh_TW
dc.titleThe Local-Global Principle in Number Theoryen_US

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