Density computations for real quadratic units

DOI10.1090/S0025-5718-96-00725-9zbMath0859.11064MaRDI QIDQ4889938

Peter Stevenhagen, Wieb Bosma

Publication date: 9 April 1997

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

zbMATH Keywords

negative Pell equationreal quadratic unitsdensity computationsperiod of a continued fraction of a unit

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Density theorems (11R45) General binary quadratic forms (11E16)

Related Items (5)

Frobenius distributions for real quadratic orders ⋮ Redei reciprocity, governing fields and negative Pell ⋮ On the computation of quadratic 2-class groups ⋮ Symmetries of abelian Chern-Simons theories and arithmetic ⋮ The negative Pell equation and Pythagorean triples

Cites Work

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• On the Computational Complexity of Determining the Solvability or Unsolvability of the Equation X 2 - DY 2 = -1
• Worst-case complexity bounds for algorithms in the theory of integral quadratic forms
• On Rédei's theory of the Pell equation.
• The Number of Real Quadratic Fields Having Units of Negative Norm
• Über die Anzahl der als Summe von zwei Quadraten darstellbaren und in einer primen Restklasse gelegenen Zahlen unterhalb einer positiven Schranke. II.

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