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Modular arithmetic on elements of small norm in quadratic fields

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Publication:697632
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DOI10.1023/A:1016550519087zbMath1028.11080MaRDI QIDQ697632

Michael J. Jacobson jun., Hugh C. Williams

Publication date: 17 September 2002

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)


zbMATH Keywords

unitsquadratic fieldsDiophantine m-tuplecompact representationnorm equation


Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Quadratic and bilinear Diophantine equations (11D09) Computer solution of Diophantine equations (11Y50) Algebraic number theory computations (11Y40)


Related Items (5)

InfoMod: a visual and computational approach to Gauss' binary quadratic forms ⋮ Compact representation of quadratic integers and integer points on some elliptic curves ⋮ A New Look at an Old Equation ⋮ A computational approach for solving $y^2=1^k+2^k+\dotsb+x^k$ ⋮ The Hoggatt-Bergum conjecture on \(D(-1)\)-triples \(\{F_{2k+1}\), \(F_{2k+3}\), \(F_{2k+5}\}\) and integer points on the attached elliptic curves




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