ON <i>D</i>(-1)-QUADRUPLES

作     者：Bonciocat, Nicolae Ciprian Cipu, Mutat Mignotte, Maurice 

作者机构：Romanian Acad Simian Stoilow Inst Math Res Unit 5 POB 1-764 RO-014700 Bucharest Romania Univ Strasbourg UFR Math F-67084 Strasbourg France 

出 版 物：《PUBLICACIONS MATEMATIQUES》 (Publ. Mat.)

年 卷 期：2012年第56卷第2期

页      面：279-304页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：CNCSIS-UEFISCSU [PNII-IDEI 443, 1190/2008] French Government 

主　　题：Diophantine m-tuples Pell equations linear forms in logarithms 

摘      要：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.