Establishing the minimal index in a parametric family of bicyclic biquadratic fields

DOI10.1007/s10998-009-10155-3zbMath1265.11061OpenAlexW2136555760MaRDI QIDQ1046883

Borka Jadrijević

Publication date: 29 December 2009

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-009-10155-3

zbMATH Keywords

minimal indexsimultaneous Pellian equationsindex form equationstotally real bicyclic biquadratic fields

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Recurrences (11B37) Continued fractions (11A55) Linear forms in logarithms; Baker's method (11J86) Approximation to algebraic numbers (11J68) Multiplicative and norm form equations (11D57)

Related Items

Minimal indices of pure cubic fields, Elements with prime and small indices in bicyclic biquadratic number fields, Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields, Minimal index of bicyclic biquadratic number fields, Number fields with large minimal index containing quadratic subfields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simultaneous Pell equations
• On the resolution of index form equations in biquadratic number fields. I
• On the resolution of index form equations in biquadratic number fields. II
• On the indices and integral bases of non-cyclic but Abelian biquadratic fields
• On the resolution of index form equations in quartic number fields
• Monogenic biquadratic fields
• On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case
• On the indices of biquadratic number fields having Galois group \(V_ 4\)
• A parametric family of quartic Thue equations
• Logarithmic forms and group varieties.
• Continued fractions and RSA with small secret exponent
• A family of quartic Thue inequalities
• Simultaneous Pell equations
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• Integers of Biquadratic Fields
• Arithmetical Properties of Polynomials
• On the number of solutions of simultaneous Pell equations