Gross’ Conjecture on Rational Function Fields

博士 === 國立臺灣大學 === 數學研究所 === 93 === 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: Stickelb...

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Main Authors:	Po-Yi Huang, 黃柏嶧
Other Authors:	陳其誠
Format:	Others
Language:	en_US
Published:	2005
Online Access:	http://ndltd.ncl.edu.tw/handle/71675849742435820646

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spelling	ndltd-TW-093NTU054790262015-12-21T04:04:15Z http://ndltd.ncl.edu.tw/handle/71675849742435820646 Gross’ Conjecture on Rational Function Fields 函數體上的葛羅斯猜想 Po-Yi Huang 黃柏嶧博士國立臺灣大學數學研究所 93 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. 陳其誠 2005 學位論文 ; thesis 25 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	博士 === 國立臺灣大學 === 數學研究所 === 93 === 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.
author2	陳其誠
author_facet	陳其誠 Po-Yi Huang 黃柏嶧
author	Po-Yi Huang 黃柏嶧
spellingShingle	Po-Yi Huang 黃柏嶧 Gross’ Conjecture on Rational Function Fields
author_sort	Po-Yi Huang
title	Gross’ Conjecture on Rational Function Fields
title_short	Gross’ Conjecture on Rational Function Fields
title_full	Gross’ Conjecture on Rational Function Fields
title_fullStr	Gross’ Conjecture on Rational Function Fields
title_full_unstemmed	Gross’ Conjecture on Rational Function Fields
title_sort	gross’ conjecture on rational function fields
publishDate	2005
url	http://ndltd.ncl.edu.tw/handle/71675849742435820646
work_keys_str_mv	AT poyihuang grossconjectureonrationalfunctionfields AT huángbǎiyì grossconjectureonrationalfunctionfields AT poyihuang hánshùtǐshàngdegéluósīcāixiǎng AT huángbǎiyì hánshùtǐshàngdegéluósīcāixiǎng
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Gross’ Conjecture on Rational Function Fields

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