Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595842 | Journal of Pure and Applied Algebra | 2016 | 8 Pages |
Abstract
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 FF) 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 |F|≡1(modℓ) or not.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jungyun Lee, Yoonjin Lee,