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dc.contributor.author賴冠宇zh_TW
dc.contributor.author林松山zh_TW
dc.contributor.authorLai, Guan-Yuen_US
dc.contributor.authorLin, Song-Sunen_US
dc.date.accessioned2018-01-24T07:39:49Z-
dc.date.available2018-01-24T07:39:49Z-
dc.date.issued2017en_US
dc.identifier.urihttp://etd.lib.nctu.edu.tw/cdrfb3/record/nctu/#GT070452209en_US
dc.identifier.urihttp://hdl.handle.net/11536/140835-
dc.description.abstract近年來動態系統的研究已成為數學研究最重要的領域之一,而在動態系統中,動態Zeta函數扮演著舉足輕重的腳色。本文主要討論二維有限型移位∑(B)的動態Zeta函數在複數平面上的最大亞純延拓問題,以及在利用不同的簡跡矩陣將∑(B)的動態Zeta函數表示成有理函數的無窮乘積時,比較其各項之泰勒展開係數所得之等式是否有意義之探討。zh_TW
dc.description.abstractIn recent years, the dynamical system become the one of most important research in mathematics. And the dynamical zeta function is the one of the most important part in the dynamical system. In here, I will explain something about the relation between dynamical zeta function, meromorphic extension and number theory.en_US
dc.language.isoen_USen_US
dc.subject有限型移位zh_TW
dc.subject動態Zeta 函數zh_TW
dc.subject最大亞純延拓zh_TW
dc.subject自然邊界zh_TW
dc.subject簡跡矩陣zh_TW
dc.subject週期熵zh_TW
dc.subjectShift of finite typeen_US
dc.subjectdynamic zeta functionen_US
dc.subjectmaximum meromorphic extensionen_US
dc.subjectnatural boundaryen_US
dc.subjectreduced trace operatoren_US
dc.subjectperiodic entropyen_US
dc.title動態Zeta函數及其應用zh_TW
dc.titleDynamical Zeta Function and its Applicationsen_US
dc.typeThesisen_US
dc.contributor.department應用數學系所zh_TW
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