CLASS NUMBER ONE CRITERIA FOR REAL QUADRATIC FIELDS WITH DISCRIMINANT k^sup 2^p^sup 2^ ± 4p

In earlier work [MS] we proved the Mollin-Srinivasan (M-S) conjecture, which provides class number one criteria for real quadratic fields with discriminants of type Δ=9p^sup 2^±4p, for an odd prime p, in terms of prime-producing quadratic polynomials. Here we give a full generalization for discrimin...

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Bibliographic Details
Published inJournal of combinatorics and number theory Vol. 4; no. 1; p. 21
Main Authors Mollin, Richard A, Srinivasan, Anitha
Format Journal Article
LanguageEnglish
Published Hauppauge Nova Science Publishers, Inc 01.01.2012
Subjects
Algebra
Number theory
Polynomials
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Summary:In earlier work [MS] we proved the Mollin-Srinivasan (M-S) conjecture, which provides class number one criteria for real quadratic fields with discriminants of type Δ=9p^sup 2^±4p, for an odd prime p, in terms of prime-producing quadratic polynomials. Here we give a full generalization for discriminants of type Δ = k^sup 2^ p^sup 2^±4p where the M-S conjecture is the case k = 3.
ISSN:1942-5600