Cylotomic function fields over finite fields with class number three
J. Korean Math. Soc. 2019 Vol. 56, No. 2, 559-578
Published online 2019 Mar 01
Mehpare Bilhan, Dilek Buyruk, Ferruh Ozbudak
Middle East Technical University; Abant Izzet Baysal University; Middle East Technical University
Abstract : We list all subfields of cyclotomic function fields over rational function fields with class number three. We also determine all the imaginary abelian extensions with relative class number three, explicitly.
Keywords : class number, cyclotomic function field, L-polynomial
MSC numbers : 11R29, 11R60, 12E20
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