5 papers
Pseudodiohpantine geometric figure. In the wake of one task of Hugo Steinhaus
Zurab Aghdgomelashvili
In the work is considered one of up to now unsolved by Hugo Steinhaus task on having integer length square and located in its plane point that are on integer distances from its ver…
On some interesting tasks from classical theory of numbers
Zurab Aghdgomelashvili
Expressions of type and , where are natural and are prime numbers, are studied.
Some remarks on nmax(k) Diophantine n-gons
Zurab Aghdgomelashvili
In this article one of the fundamental problems of Diophantine (integer) planar geometric figures, the Task max n(k), is considered.
On a Fundamental Task of Bidiophantine Geometric Figures
Zurab Aghdgomelashvili
The goal of the work is to take on and study one of the fundamental tasks studying Bidiophantine polygons (let us call a polygon Diophantine, if the distance between each two verte…
On a Fundamental Task of Diophantine Geometric Figures
Zurab Aghdgomelashvili
The goal of the work is to take on and study one of the fundamental tasks studying Diophantine n-gons (the author of the paper considers an integral n-gon is Diophantine as far as…