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Publication:4032177
zbMath0773.11023MaRDI QIDQ4032177
Nicholas Tzanakis, Benjamin M. M. de Weger
Publication date: 1 April 1993
Full work available at URL: http://www.numdam.org/item?id=CM_1992__84_3_223_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cites Work
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- On equations in S-units and the Thue-Mahler equation
- On the practical solution of the Thue equation
- Factoring polynomials with rational coefficients
- On the computation of units and class numbers by a generalization of Lagrange's algorithm
- Zur Approximation algebraischer Zahlen. I: Über den grössten Primteiler binärer Formen
- The Computation of the Fundamental Unit of Totally Complex Quartic Orders
- Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
- Linear forms in p-adic logarithms
- Constants for lower bounds for linear forms in the logarithms of algebraic numbers I. The general case
- The generalized Voronoi-algorithm in totally real algebraic number fields
- Products of Prime Powers in Binary Recurrence Sequences Part I: The Hyperbolic Case, with an Application to the Generalized Ramanujan-Nagell Equation
- Elliptic Curves of Conductor 11
- On Effective Computation of Fundamental Units. I
- On Effective Computation of Fundamental Units. II
- Solving a Specific Thue-Mahler Equation
- A lower bound for linear forms in logarithms
- Algebraic Number-Fields with two Independent Units
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