Geodesic
Local-global principles for recurrence sequences
A. Schinzel1 ; M. Skałba2
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
2 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 67 (2019) no. 1, pp. 37-40.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A proof is given that if a non-degenerate recurrence sequence of the second order over the rationals with separable companion equation contains multiples of infinitely many terms of the Lucas sequence governed by the same recurrence, then it contains zero for an index of a suitable sign.
DOI : 10.4064/ba8179-1-2019
Keywords: proof given non degenerate recurrence sequence second order rationals separable companion equation contains multiples infinitely many terms lucas sequence governed recurrence contains zero index suitable sign

A. Schinzel 1 ; M. Skałba 2

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
2 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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A. Schinzel; M. Skałba. Local-global principles for recurrence sequences. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 67 (2019) no. 1, pp. 37-40. doi : 10.4064/ba8179-1-2019. http://geodesic.mathdoc.fr/articles/10.4064/ba8179-1-2019/

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