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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/35935
Title: 函數體上的葛羅斯猜想
Gross’ Conjecture on Rational Function Fields
Authors: Po-Yi Huang
黃柏嶧
Advisor: 陳其誠
Keyword: 葛羅斯猜想,
Stickelberger element,special values of abelian L-functions,Conjecture of Gross,Class numbers,
Publication Year : 2005
Degree: 博士
Abstract: The family of Stickelberger elements associated to
certain abelian extensions over global rational function fields is represented by a universal polynomial. This result is then used to prove a conjecture of Gross
for these Stickelberger elements.
Keywords: Stickelberger element, special values of abelian
L-functions, Conjecture of Gross, Class numbers.
URI: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/35935
Fulltext Rights: 有償授權
Appears in Collections:數學系

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