Let L/Fq(T) be a tame abelian extension of type (l, l,...l). The ratio of the degree zero divisor dass number (as well as the ideal class number) of L to the product of corresponding class numbers of all cydic subfiel...Let L/Fq(T) be a tame abelian extension of type (l, l,...l). The ratio of the degree zero divisor dass number (as well as the ideal class number) of L to the product of corresponding class numbers of all cydic subfields of L is clearly determined.展开更多
基金This work was done at USTC when the author was a graduate student in a special program of Nankai University.
文摘Let L/Fq(T) be a tame abelian extension of type (l, l,...l). The ratio of the degree zero divisor dass number (as well as the ideal class number) of L to the product of corresponding class numbers of all cydic subfields of L is clearly determined.