2 papers
math.NT2018
The binary method of integer decomposition
Puyun Gao
This paper presents an integer decomposition method. The method first writes an integer as a polynomial with 2 as variable that its coefficients are zero or one. Then, suppose that…
math.NT2018
A Necessary and Sufficient Condition for Existence of a Rational Point on an Elliptic Curve
P. Gao
In this paper, the proof of the existence of a rational point on an elliptic curve is transformed into the proof of the existence of an integer solution for a Diophantine equation.…