Class Numbers of Real Quadratic Fields, Continued Fractions, Reduced Ideals, Prime-Producing Quadratic Polynomials and Quadratic Residue Covers

DOI10.4153/CJM-1992-049-0zbMath0771.11039MaRDI QIDQ4022895

Stéphane R. Louboutin, Richard A. Mollin, Hugh C. Williams

Publication date: 17 January 1993

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

class number onequadratic number fieldsprime-producing quadratic polynomials

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32) Primes (11A41)

Related Items (11)

The palindromic index -- A measure of ambiguous cycles of reduced ideals without any ambiguous ideal in real quadratic orders ⋮ Class number one problem for a family of real quadratic fields ⋮ Use of the rabinowitsch polynomial to determine the class groups of a real quadratic field ⋮ Closed form continued fraction expansions of special quadratic irrationals ⋮ Solution of a problem of Yokoi ⋮ Euler-Rabinowitsch polynomials and class number problems revisited ⋮ Ambiguous Classes in Quadratic Fields ⋮ Quadratic Residue Covers for Certain Real Quadratic Fields ⋮ The Rabinowitsch-Mollin-Williams theorem revisited ⋮ Orders in quadratic fields. I ⋮ Class number problem for a family of real quadratic fields

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