Konstantine Zelator

Identifiers

• name variant Konstantine Zelator 0.60 · backfill

Papers (34)

1. 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 math.GM · 2013 · author #1
2. Integer Solutions, Rational solutions of the equations x^4+y^4+z^4 -2(x^2)(y^2)-2(y^2)(z^2)-2(z^2)(x^2)=n and x^2+y^4+z^4-2x(y^2)-2x(z^2)-2(y^2)(z^2)=n; And Crux Mathematicorum Contest problem CC24 math.GM · 2013 · author #1
3. The Diophantine equation xy=z^n; for n=2,3,4,5,6; the Diophantine equation xyz=w^2; and the Diophantine system: xy=v^2 and yz=w^2 math.NT · 2013 · author #1
4. Integral points on rational curves of the form y=(x^2+bx+c)/(x+a); a,b,c integers math.GM · 2013 · author #1
5. Integral regular truncated pyramids with rectangular bases and the diophantine equation x^2+y^2+z^2= t^2 math.GM · 2012 · author #1
6. Integral Triangles with one angle twice another, and with the bisector(of the double angle) also of integral length math.GM · 2012 · author #1
7. The Diophantine Equation arctan(1/x)+arctan(m/y)= arctan(1/k) math.GM · 2012 · author #1
8. An Application of Ptolemy's Theorem:Integral triangles with a 120 degree angle and the bisector(of the 120degree angle)also of integral length math.GM · 2012 · author #1
9. The Rational Number n/p as a sum of two unit fractions math.GM · 2012 · author #1
10. Five Exponential Diophantine Equations and Mayhem Problem M429 math.GM · 2011 · author #1
11. Integer roots of quadratic and cubic polynomials with integer coefficients math.GM · 2011 · author #1
12. Reciprocal Properties of Pythagorean triangles math.GM · 2011 · author #1
13. Properties of proper rational numbers math.GM · 2011 · author #1
14. Pythagorean triangles within Pythagorean triangles math.GM · 2010 · author #1
15. The Diophantine Equation x^n+y^m=c(x^k)(y^l), n,m,k,l,c natural numbers math.NT · 2010 · author #1
16. Pythagorean Boxes with Primitive Faces math.GM · 2010 · author #1
17. Implementing the Law of Sines to solve SAS triangles math.GM · 2010 · author #1
18. An ancient Egyptian problem:the diophantine equation 4/n=1/x+1/y+1/z, n>or=2 math.GM · 2009 · author #1
19. A cornucopia of pythagorean triangles math.HO · 2009 · author #1
20. Pythagorean Triangles with Repeated Digits-Repeated Bases math.GM · 2009 · author #2
21. Integral points on hyperbolas: A special case math.GM · 2009 · author #1
22. Distributive properties of the rationals math.GM · 2009 · author #1
23. A family of diophantine equations of the form x^4 +2nx^2y^2+my^4=z^2 with no solutions in (Z+)^3 math.NT · 2009 · author #1
24. Exploring Progressions: A Collection of Problems math.GM · 2009 · author #1
25. A Non-Existence Property of Pythagorean Triangles with a 3-D Application math.GM · 2009 · author #1
26. Integer-Sided Triangles with integral medians math.GM · 2009 · author #1
27. The Seventeen Elements of Pythagorean Triangles math.GM · 2008 · author #1
28. A simple method for generating rational triangles math.GM · 2008 · author #1
29. Lattice points on the plane ax+by+cz=d and the diophantine system ax+by+cz=d ex+fy+gz=h math.GM · 2008 · author #1
30. Heron isosceles with integral external radii math.GM · 2008 · author #1
31. On an area property of the sum cotA+cotB+cotC in a triangle math.GM · 2008 · author #1
32. The equation asinx+bcosx=c and a family of cyclic Heron quadrilaterals math.GM · 2008 · author #1
33. When is sinx+cosx+tanx+cotx+secx+cscx an integer ? math.GM · 2008 · author #1
34. Triangle angles and sides in progression and the diophantine equation x^2+3y^2 =z^2 math.GM · 2008 · author #1

Mentions

• 1311.6484 #1 · backfill · confidence 0.70 Konstantine Zelator
• 1308.4040 #1 · backfill · confidence 0.70 Konstantine Zelator
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• 1203.0018 #1 · backfill · confidence 0.70 Konstantine Zelator
• 1112.3862 #1 · backfill · confidence 0.70 Konstantine Zelator
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• 0807.1073 #1 · backfill · confidence 0.70 Konstantine Zelator
• 0805.1702 #1 · backfill · confidence 0.70 Konstantine Zelator
• 0804.4640 #1 · backfill · confidence 0.70 Konstantine Zelator
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• 0803.4184 #1 · backfill · confidence 0.70 Konstantine Zelator
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Frequent Coauthors

• Habib Muzaffar 1 shared papers