# Diophantine triples with values in binary recurrences

Clemens Fuchs; Florian Luca; Laszlo Szalay

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2008)

- Volume: 7, Issue: 4, page 579-608
- ISSN: 0391-173X

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topFuchs, Clemens, Luca, Florian, and Szalay, Laszlo. "Diophantine triples with values in binary recurrences." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.4 (2008): 579-608. <http://eudml.org/doc/272291>.

@article{Fuchs2008,

abstract = {In this paper, we study triples $a, b$ and $c$ of distinct positive integers such that $ab+1, ac+1$ and $bc+1$ are all three members of the same binary recurrence sequence.},

author = {Fuchs, Clemens, Luca, Florian, Szalay, Laszlo},

journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},

keywords = {recurrence sequences; Diophantine tuples; S-unit equations},

language = {eng},

number = {4},

pages = {579-608},

publisher = {Scuola Normale Superiore, Pisa},

title = {Diophantine triples with values in binary recurrences},

url = {http://eudml.org/doc/272291},

volume = {7},

year = {2008},

}

TY - JOUR

AU - Fuchs, Clemens

AU - Luca, Florian

AU - Szalay, Laszlo

TI - Diophantine triples with values in binary recurrences

JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

PY - 2008

PB - Scuola Normale Superiore, Pisa

VL - 7

IS - 4

SP - 579

EP - 608

AB - In this paper, we study triples $a, b$ and $c$ of distinct positive integers such that $ab+1, ac+1$ and $bc+1$ are all three members of the same binary recurrence sequence.

LA - eng

KW - recurrence sequences; Diophantine tuples; S-unit equations

UR - http://eudml.org/doc/272291

ER -

## References

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