91306 artpubuab driver oai:ddd.uab.cat:91306 doi 10.5565/PUBLMAT_56212_02 articleid 02141493v56n2p279 cat Ciprian Bonciocat, Nicolae ON D(-1)- Quadruples Quadruples (a; b; c; d) of positive integers a < b < c < d with the property that the product of any two of them is one more than a perfect square are studied. Improved lower and upper bounds for the entries b and c are established. As an application of these results, a bound for the number of such quadruples is obtained. Català Tots els drets reservats http://www.europeana.eu/rights/rr-f/ Article de fons Diophantine m-tuples Pell equations Linear forms in logarithms info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Cipu, Mihai Mignotte, Maurice Vol. 56, Núm. 2 (2012), p. 279-304 Publicacions matemàtiques 0214-1493 26 409123 http://ddd.uab.cat/uab/pubmat/pubmat_a2012v56n2/pubmat_a2012v56n2p279.pdf 0279 304 2 56 pubmat_a2012v56n2 2012 ARTPUB PUBMAT UAB file 0 MD5 c47a5fe2ef8433e27936136b8b1f890c 409123 bytestream 1.5 filepath uab/pubmat/pubmat_a2012v56n2/pubmat_a2012v56n2p279.pdf disk