A Collection Of Special Sextic Diophantine Equations With Solutions

This book contains a reasonable collection of special sextic Diophantine problems in three, four, five and six variables. Different sets of integer solutions to each of the sextic diophantine equations considered in this book are illustrated along with a few interesting properties among the solutions. The formal prerequisites for the material are minimal. It is hoped that these problems may create an interest in the hearts of researchers and lovers of mathematics who approach it with pure love for its own beauty. The authors hope that seeing the excitement of solving these higher degree diophantine equations, young mathematicians and researchers realize that there are lots and lots of other problems in number theory which are going to be challenging in the future. There is no doubt that, to have deep and thorough knowledge of the higher degree problems presented here, one must do a lot more than reading these problems. “To succeed, we must first believe that we can, the more you can dream the more you can do” as remarked by Michael Korda. There is no wonder that Diophantine equations are beautiful and tricky enough to keep a mathematician occupied for entire life.

M.A. Gopalan is currently Professor of Mathematics at Shrimathi Indira Gandhi College,Thiruchirappalli and has taught Mathematics for nearly two decades.He is interested in problem solving in the area of Diophantine equations and Number Patterns.He serves on the editorial boards of IJPMS and IJAR and a life member of Kerala Mathematics Association.