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Diophantine representations of linear recurrences. I

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Publication:1376907
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DOI10.1007/BF02355857zbMath0938.11004OpenAlexW2081122869MaRDI QIDQ1376907

Maxim Vsemirnov

Publication date: 12 October 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02355857


zbMATH Keywords

recurrenceFibonacci numberdiophantine representationdiophantine set


Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


Related Items (3)

The quest for Diophantine finite-fold-ness ⋮ Diophantine representations of linear recurrent sequences. II ⋮ Constructive mathematics and mathematical logic. Part X. Transl. from the Russian



Cites Work

  • Hilbert's Tenth Problem is Unsolvable
  • Reduction of an arbitrary diophantine equation to one in 13 unknowns
  • An explicit diophantine definition of the exponential function
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