Add to ORKGAbstract. We survey the known polynomial families of solutions of the Dio-phantine equation x3 + y3 + z3 = n. A search has been made for additional families by interpolating on subsets of the 5417 solutions found by Koyama, but no new polynomial solutions were discovered. Finally we mention Ra-manujan’s solution, which is one of generating functions. 1
International audienceThis paper gives a complete four-parameter solution of the simultaneous diopha...
In p. 219 of R.K. Guy's Unsolved Problems in Number Theory, 3rd edn., Springer, New York, 2004, we a...
This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for ...
Diophantine equation is an algebraic equation in two or more variables in which solutions to it are ...
AbstractThe equation by2 + pn = x3 is regarded as a diophantine equation in the integer variables x,...
In this paper, I investigate polynomial solutions to the Diophantine equa tion, X² +Y³ = 6...
and perplexed by the 3.1.3 cubic Pythagorean Diophantine equation, x3 + y3 + z3 = a3. Though complex...
Using only elementary arguments, Cassels solved the Diophantine equation (x−1)3+x3+(x+1)3=z2 in inte...
This thesis focuses on the polynomial f(x, y, z) = x3 + y3 + z3 - 3xyz and the properties, stated as...
The non-homogeneous cubic equation with three unknowns represented by the diophantine equation x3 +...
We propose a new sequence-based algorithm to track and find solutions to the Diophantine equation $X...
This manuscript investigates the properties of the diophantine equation X2 + Yr Here d is a ...
AbstractLet p∈{3, 23} and D∈N such that p∤D and (D, p)≠(2, 3). We prove in this paper that the dioph...
In this paper, we show that (3, 0, 3) is a unique non-negative integer solution for the Diophantine ...
We propose a new sequence-based algorithm to track and find solutions to the Diophantine equation X^...
International audienceThis paper gives a complete four-parameter solution of the simultaneous diopha...
In p. 219 of R.K. Guy's Unsolved Problems in Number Theory, 3rd edn., Springer, New York, 2004, we a...
This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for ...
Diophantine equation is an algebraic equation in two or more variables in which solutions to it are ...
AbstractThe equation by2 + pn = x3 is regarded as a diophantine equation in the integer variables x,...
In this paper, I investigate polynomial solutions to the Diophantine equa tion, X² +Y³ = 6...
and perplexed by the 3.1.3 cubic Pythagorean Diophantine equation, x3 + y3 + z3 = a3. Though complex...
Using only elementary arguments, Cassels solved the Diophantine equation (x−1)3+x3+(x+1)3=z2 in inte...
This thesis focuses on the polynomial f(x, y, z) = x3 + y3 + z3 - 3xyz and the properties, stated as...
The non-homogeneous cubic equation with three unknowns represented by the diophantine equation x3 +...
We propose a new sequence-based algorithm to track and find solutions to the Diophantine equation $X...
This manuscript investigates the properties of the diophantine equation X2 + Yr Here d is a ...
AbstractLet p∈{3, 23} and D∈N such that p∤D and (D, p)≠(2, 3). We prove in this paper that the dioph...
In this paper, we show that (3, 0, 3) is a unique non-negative integer solution for the Diophantine ...
We propose a new sequence-based algorithm to track and find solutions to the Diophantine equation X^...
International audienceThis paper gives a complete four-parameter solution of the simultaneous diopha...
In p. 219 of R.K. Guy's Unsolved Problems in Number Theory, 3rd edn., Springer, New York, 2004, we a...
This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for ...