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The asymptotic growth of integer solutions to the Rosenberger equations

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Publication:4822755
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DOI10.1017/S0004972700036261zbMath1050.11034MaRDI QIDQ4822755

Kensaku Umeda, Arthur Baragar

Publication date: 25 October 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

asymptotic growthMarkoff equationsMarkoff treeRosenberger equations


Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)


Related Items (4)

On the generalized Hurwitz equation and the Baragar-Umeda equation ⋮ Solutions of the Markoff equation in Tribonacci numbers ⋮ Solutions of a generalized Markoff equation in Fibonacci numbers ⋮ Lattice equable quadrilaterals I: parallelograms




Cites Work

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  • A Diophantine equation appearing in Diophantine approximation
  • Products of consecutive integers and the Markoff equation
  • On the Number of Markoff Numbers Below a Given Bound
  • On the Integer Solutions of the Equation x 2 +y 2 +z 2 +2xyz = n




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