@

author = {I. Nemes},}

title = {{On the solution of a diophantine equation with sieve algorithm}},

booktitle = {{Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989}},

language = {english},

abstract = {We consider the Diophantine equation $G_{m}=P(x)$, with $G_{m}$ a second order linear recurrence sequence and $P(x)$ a polynomial over the integers and search the integral solutions $x$ and $m$. With the presented algorithm it is possible to exclude the majority of non solutions $m$, which are not greater than a given limit.},

pages = {302--319},

publisher = {Walter de Gruyter},

isbn_issn = {ISBN 3-11-012394-0},

year = {1991},

editor = {A. Pethö and M. E. Pohst and H. C. Williams and H. G. Zimmer},

refereed = {yes},

length = {18}