AbstractA rational cuboid is a rectangular parallelepiped whose edges and face diagonals all have rational lengths. In this paper, we consider the problem: are there rational cuboids with a given face? In a sense, we reduce the problem to a finite calculation
We show that any smooth projective cubic hypersurface of dimension at least 29 over the rationals co...
In this article we explicitly describe irreducible trinomials X^3-aX+b which gives all the cyclic cu...
SummaryLet V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ...
We discuss generating parallelepipeds, with 4 rectangular faces, which have rational lengths and all...
Let {X,Y,Z,A,B,C} ℚ+ be such that X2+Y2=A2, X2+Z2=B2 and Y2+Z2=C2. We consider the problem of findin...
AbstractA rational cuboid is a rectangular parallelepiped whose edges and face diagonals all have ra...
AbstractThis paper discusses tetrahedra with rational edges forming an arithmetic progression, focus...
In memory of my wife Bendeberi O.I., initiator and inspirer of this research. A perfect cuboid, i.e....
A rational n-tiling of the unit square is a collection of n triangles with rational side length whos...
We solve a bit more then the half of the XV.th. proposition of Leonardo Pisano who was also named as...
This paper shows the non-existence of perfect cuboid by using two tools, the first is representing P...
We consider the problem of finding four different rational squares, such that the product of any two...
We study the connection of Heronian triangles with the problem of the existence of rational cuboids....
Le problème de la rationalité des hypersurfaces cubiques lisses dans P^5 est un des problèmes les pl...
We are interested in finding for which positive integers $D$ we have rational solutions for the equa...
We show that any smooth projective cubic hypersurface of dimension at least 29 over the rationals co...
In this article we explicitly describe irreducible trinomials X^3-aX+b which gives all the cyclic cu...
SummaryLet V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ...
We discuss generating parallelepipeds, with 4 rectangular faces, which have rational lengths and all...
Let {X,Y,Z,A,B,C} ℚ+ be such that X2+Y2=A2, X2+Z2=B2 and Y2+Z2=C2. We consider the problem of findin...
AbstractA rational cuboid is a rectangular parallelepiped whose edges and face diagonals all have ra...
AbstractThis paper discusses tetrahedra with rational edges forming an arithmetic progression, focus...
In memory of my wife Bendeberi O.I., initiator and inspirer of this research. A perfect cuboid, i.e....
A rational n-tiling of the unit square is a collection of n triangles with rational side length whos...
We solve a bit more then the half of the XV.th. proposition of Leonardo Pisano who was also named as...
This paper shows the non-existence of perfect cuboid by using two tools, the first is representing P...
We consider the problem of finding four different rational squares, such that the product of any two...
We study the connection of Heronian triangles with the problem of the existence of rational cuboids....
Le problème de la rationalité des hypersurfaces cubiques lisses dans P^5 est un des problèmes les pl...
We are interested in finding for which positive integers $D$ we have rational solutions for the equa...
We show that any smooth projective cubic hypersurface of dimension at least 29 over the rationals co...
In this article we explicitly describe irreducible trinomials X^3-aX+b which gives all the cyclic cu...
SummaryLet V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ5(ℂ...
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