ON THE PARITY OF THE CLASS NUMBER OF SOME REAL BIQUADRATIC FUNCTION FIELD

• 발행기관: 충청수학회
• 저자명: Jae hyun Ahn Hwan yup Jung
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 1, 169~176쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.03.30

영문 초록

Let k = Fq(T) and A = Fq[T]. In this paper, we obtain the the criterion for the parity of the ideal class number h(OK) of the real biquadratic function field K = k(pP1,pP2),where P1, P2 2 A be two distinct monic primes of even degree.

목차

1. Introduction and statement of main result

2. Cyclotomic units

3. Proof of Theorem 1.1

References