arXiv 2013-11-21 EN The sum of the squares of p positive integers which are consecutive terms of an arithmetic progression: Always a non-perfect square when p(a prime)=3 or p is congruent to 5 or 7 modulo 12 Zelator, Konstantine
arXiv 2013-08-16 EN Integer Solutions, Rational solutions of the equations x⁴+y⁴+z⁴ -2(x²)(y²)-2(y²)(z²)-2(z²)(x²)=n and x²+y⁴+z⁴-2x(y²)-2x(z²)-2(y²)(z²)=n; And Crux Mathematicorum Contest problem CC24 Zelator, Konstantine
arXiv 2013-01-02 EN Integral points on rational curves of the form y=(x²+bx+c)/(x+a); a,b,c integers Zelator, Konstantine
arXiv 2012-10-23 EN Integral regular truncated pyramids with rectangular bases and the diophantine equation x²+y²+z²= t² Zelator, Konstantine
arXiv 2012-08-01 EN Integral Triangles with one angle twice another, and with the bisector(of the double angle) also of integral length Zelator, Konstantine
arXiv 2012-03-28 EN The Diophantine Equation arctan(1/x)+arctan(m/y)= arctan(1/k) Zelator, Konstantine
arXiv 2012-03-12 EN An Application of Ptolemy's Theorem:Integral triangles with a 120 degree angle and the bisector(of the 120degree angle)also of integral length Zelator, Konstantine
arXiv 2011-12-13 EN Five Exponential Diophantine Equations and Mayhem Problem M429 Zelator, Konstantine
arXiv 2011-10-26 EN Integer roots of quadratic and cubic polynomials with integer coefficients Zelator, Konstantine
arXiv 2009-12-14 EN An ancient Egyptian problem:the diophantine equation 4/n=1/x+1/y+1/z, n>or=2 Zelator, Konstantine
arXiv 2009-08-26 EN Pythagorean Triangles with Repeated Digits-Repeated Bases Muzaffar, Habib · Zelator, Konstantine
