Indivisibility of class numbers of real quadratic function fields
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier
- 발행년도 2016
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000135428
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jpaa.2016.01.002
초록/요약
In this paper we work on indivisibility of the class numbers of real quadratic function fields. We find an explicit expression for a lower bound of the density of real quadratic function fields (with constant field F) whose class numbers are not divisible by a given prime ℓ. We point out that the explicit lower bound of such a density we found only depends on the prime ℓ, the degrees of the discriminants of real quadratic function fields, and the condition: either
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