Stickelberger elements for <span class="inlMMLBox"></span>-extensions of function fields期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Stickelberger elements for -extensions of function fields

Authors:	Ka-Lam Kueh King Fai Lai Ki-Seng Tan

Institution:	^aInstitute of Mathematics, Academia Sinica, Taipei 11529, Taiwan;^bSchool of Mathematics and Statistics, University of Sydney, NSW 2006, Australia;^cDepartment of Mathematics, National Taiwan University, Taipei 10764, Taiwan

Abstract:	We study Stickelberger elements associated to -extensions over global function fields of characteristic p>0 and show that they are in some sense generically irreducible in the Iwasawa algebras.

Keywords:	Conjecture of Gross Class numbers Iwasawa theory Local Leopoldt conjecture Regulators Stickelberger element Special values of L-functions
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