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 language | English |
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Pages (from-to) | 2828-2835 |
Number of pages | 8 |
Journal | Journal of Pure and Applied Algebra |
Volume | 220 |
Issue number | 8 |
DOIs | |
State | Published - 1 Aug 2016 |
Bibliographical note
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