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A Note on Terence Tao's Paper "On the Number of Solutions to 4/p=1/n_1+1/n_2+1/n_3"
Terence Tao's Paper Number of Solutions Number Theory
2011/9/21
Abstract: For the positive integer $n$, let $f(n)$ denote the number of positive integer solutions $(n_1,\,n_2,\,n_3)$ of the Diophantine equation $$ {4\over n}={1\over n_1}+{1\over n_2}+{1\over n_3}....
Counting the number of solutions to the Erdos-Straus equation on unit fractions
the Erdos-Straus equation unit fractions Number Theory
2011/8/25
Abstract: For any positive integer $n$, let $f(n)$ denote the number of solutions to the Diophantine equation $\frac{4}{n} = \frac{1}{x} + \frac{1}{y} + \frac{1}{z}$ with $x,y,z$ positive integers. Th...
An Asymptotic for the Number of Solutions to Linear Equations in Prime Numbers from Specified Chebotarev Classes
symptotic for the Number of Solutions to Linear Equations Prime Numbers Specified Chebotarev Classes
2010/12/1
An Asymptotic for the Number of Solutions to Linear Equations in Prime Numbers from Specified Chebotarev Classes.
On the Probability of the Number of Solutions for the P4P Problem
Camera calibration pose determination perspective four point problem P4P probability number of solutions
2013/9/9
This paper studies the multi-solution phenomenon for the perspective four point(P4P) problem from geometric and algebraic aspects. We give a pure geometric proof that the P4P problem could have up to ...