A proof of the Hoggatt-Bergum conjecture

DOI10.1090/S0002-9939-99-04875-3zbMath0937.11011OpenAlexW1541970503WikidataQ123263708 ScholiaQ123263708MaRDI QIDQ4243670

Andrej Dujella

Publication date: 19 May 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04875-3

zbMATH Keywords

Fibonacci numberslinear forms in logarithmssimultaneous Pell equationsdiophantine \(m\)-tupleBaker-Davenport reduction procedureHoggatt-Bergum conjecture

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

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