Continued fractions and number-theoretic computations

DOI10.1216/RMJ-1985-15-2-621zbMath0594.12003MaRDI QIDQ1076720

Hugh C. Williams

Publication date: 1985

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmreal quadratic fieldslatticescontinued fractionfactorization of integerscomputational number theoryreduced idealscomplex cubic fieldsprincipal ideal testing

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Continued fractions (11A55) Cubic and quartic extensions (11R16) Factorization (11Y05)

Related Items (11)

A generalization of reduced Arakelov divisors of a number field ⋮ Minorations d’unités fondamentales—applications ⋮ Factoring: algorithms, computations, and computers ⋮ A note on the structure of certain real quadratic number fields ⋮ Voronoi's algorithm in purely cubic congruence function fields of unit rank 1 ⋮ The infrastructure of a global field of arbitrary unit rank ⋮ On the divisor function and class numbers of real quadratic fields. II ⋮ On the computation of units and class numbers by a generalization of Lagrange's algorithm ⋮ On the Infrastructure of the Principal Ideal Class of an Algebraic Number Field of Unit Rank One ⋮ Algebraic number fields generated by an infinite family of monogenic trinomials ⋮ Ideal arithmetic and infrastructure in purely cubic function fields

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