
Techniques of Solving Diophantine EQU'S Lead to Dio-Gandhi EQU'S
Mathematical Monographs
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Generally, we see the solutions with restricting in finite range; we use to find solutions for Diophantine equations. However, in my work, I have discussed and introduced a novel approach to solve Diophantine equations. Also, without restricting the solutions range and set (N or Z or Q or R or C), we can find solutions infinitely in some new Diophantine equations, which I call as, Dio-Gandhi equations. Precisely, we can find solutions in any range and in any set. I have an interest in several areas of mathematics, one of which is perhaps the oldest unsolved problem in mathematics, the existenc...
Generally, we see the solutions with restricting in finite range; we use to find solutions for Diophantine equations. However, in my work, I have discussed and introduced a novel approach to solve Diophantine equations. Also, without restricting the solutions range and set (N or Z or Q or R or C), we can find solutions infinitely in some new Diophantine equations, which I call as, Dio-Gandhi equations. Precisely, we can find solutions in any range and in any set. I have an interest in several areas of mathematics, one of which is perhaps the oldest unsolved problem in mathematics, the existence (or otherwise) of an perfect number In 2008. I obtained a minor but original result, that any odd perfect number (if such exists) must have the form 12m + 1 or 324m + 81 or 468m + 117. In this thesis, we will establish some interesting and important theorems.