Publisher's Synopsis
The present book "Diophantine Equations" is presented for students and researchers working in the field of number theory. Diophantine equations are those equations which are to be solved in integers. Diophantine equations are very important equations of theory of numbers and have many important applications in algebra, analytical geometry and trigonometry. The present book describes various methods for handling Diophantine equations.
The present book is divided into five chapters.
1. ON THE NON-LINEAR DIOPHANTINE EQUATION 79x+97y=z2
(Nidhi Sharma, Shahida A.T., Renu Chaudhary) 12-23
(Sanjay Kumar, Aakansha Vyas, Gyanvendra Pratap Singh) 24-31 3. ON THE SOLUTIONS OF EXPONENTIAL DIOPHANTINE EQUATION kx + (k + 10)y= z2
(Deepak Gupta) 32-41 4. DIOPHANTINE EQUATION 787x+797y=z2
(Raman Chauhan, Swarg Deep Sharma, Seema Agrawal) 42-48 5. DIOPHANTINE EQUATIONS α2-Dβ2=1 ANDα2-Dβ2=-1
(Sudhanshu Aggarwal, Rajesh Pandey, Eshita Pandey) 49-64 Dr. Sudhanshu Aggarwal
Dr. Himanshu Pandey
Dr. Satish Kumar
Dr. Anjana Rani Gupta