Indivisibility of class numbers of real quadratic function fields

Jungyun Lee, Yoonjin Lee

Research output: Contribution to journalArticlepeer-review

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 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 |F|≡1(modℓ) or not.

Original languageEnglish
Pages (from-to)2828-2835
Number of pages8
JournalJournal of Pure and Applied Algebra
Volume220
Issue number8
DOIs
StatePublished - 1 Aug 2016

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