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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/88737
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dc.contributor.advisor陳永秋zh_TW
dc.contributor.advisorTan, Eng Tjieoen_US
dc.contributor.author楊茂昌zh_TW
dc.contributor.authorYang, Mao Changen_US
dc.creator楊茂昌zh_TW
dc.creatorYang, Mao Changen_US
dc.date1994en_US
dc.date.accessioned2016-04-29T08:32:23Z-
dc.date.available2016-04-29T08:32:23Z-
dc.date.issued2016-04-29T08:32:23Z-
dc.identifierB2002003905en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/88737-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學系zh_TW
dc.description81155008zh_TW
dc.description.abstract　　本文希望藉著K.T Arasu, D.Jungnickel, A.Pott推廣Wilbrink定理的方法去尋找Wilbrink等式的推廣式在p<sup>k</sup>∥n,k≧4的推廣式和其應用。zh_TW
dc.description.abstract　　In this thesis we formulate and provide rigorous proofs of Wilbrink`s theorem and it`s variations due to Arasu, A.Pott and D.Jungnickel. some questions on further generalizations of Wilbrink`s theorem are discussed; known generalization are study in A.Pott`s dissertation.en_US
dc.description.tableofcontents謝詞\r\nAbstract\r\n中文簡介-----1\r\nContents-----2\r\n1　Introduction-----3\r\n2　Preliminaries on algebraic design theory-----6\r\n　　2.1　The theory of discrete Fourier transformation (DFT)-----7\r\n　　2.2　Codes defined by symmetric design-----11\r\n　　2.3　Multiplier of difference sets-----15\r\n3　Proofs of Wilbrink`s theorem-----17\r\n　　3.1　Wilbrink`s original proof-----18\r\n　　3.2　Arasu`s proof for Theorem 2-----19\r\n　　3.3　Jungnickel`s proof for Theorem 3-----20\r\n　　3.4　Pott`s proof for Theorem 3-----22\r\n4　Conjectures related to Wilbrink`s theorem-----26\r\n5　Pott`s generalizations of Wilbrink`s theorem-----29\r\n　　5.1　Pott`s p-adic approach to theory of DS-----30\r\n　　5.2　Pott`s proof for generalizations of Wilbrink`s Theorem-----32\r\n6　Discussion-----37zh_TW
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#B2002003905en_US
dc.subject可換差集zh_TW
dc.subject乘數zh_TW
dc.subject離散型富利葉轉換zh_TW
dc.subjectp-進位特徵函數zh_TW
dc.subject乘數猜測zh_TW
dc.subjectHall 猜測zh_TW
dc.subjectAbelian difference setsen_US
dc.subjectmultipliersen_US
dc.subjectDiscrete Fourier Transform (DFT)en_US
dc.subjectp-adic charactersen_US
dc.subjectmultiplier`s conjectureen_US
dc.subjectHall`s conjectureen_US
dc.titleWilbrink定理的探討zh_TW
dc.titleVariations on Wilbrink`s Theoremen_US
dc.typethesisen_US
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item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
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