Gross’ Conjecture on Rational Function Fields
Date Issued
2005
Date
2005
Author(s)
Huang, Po-Yi
DOI
en-US
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.
Subjects
葛羅斯猜想
Stickelberger element
special values of abelian L-functions
Conjecture of Gross
Class numbers
Type
thesis
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