Some examples related to the $abc$-conjecture for algebraic number fields

DOI10.1090/S0025-5718-99-01153-9zbMath0971.11009WikidataQ123265506 ScholiaQ123265506MaRDI QIDQ4501049

Niklas Broberg

Publication date: 3 September 2000

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

zbMATH Keywords

identitiesquadratic fieldcontinued fractionnorm Euclideanuniform \(abc\)-conjecture

Mathematics Subject Classification ID

Continued fractions (11A55) Linear Diophantine equations (11D04) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (5)

Lecture on the abc Conjecture and Some of Its Consequences ⋮ The \(abc\)-conjecture for algebraic numbers ⋮ Jerzy Browkin (1934–2015) ⋮ LLL \(\and\) ABC ⋮ Minimal polynomials of singular moduli

Cites Work

• \(ABC\) implies no ``Siegel zeros for \(L\)-functions of characters with negative discriminant
• A weakening of the euclidean property for integral domains and applications to algebraic number theory. I.
• Some Remarks on the abc-Conjecture
• Unnamed Item

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