Felix Sidokhine

most citedFermat's Last Theorem: Algebra, Geometry, and Number Theory

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2016

Quartic Equations with Trivial Solutions over Gaussian Integers

Felix Sidokhine

In our work we study the equations of the form $a X^{4} + b X^{2} Y^{2} + c Y^{4} = d Z^{2}$ over Gaussian integers by a method of the resolvents. We study as a new equations $X^{4} + 6 X^{2} Y^{2} + Y^{4} = Z^{2}$ (M…

math.NT2016

Quadratic Equations in Three Variables over Gaussian Integers

Felix Sidokhine

We develop an algebraic method of studying of Diophantine quadratic equations in three variables over the ring of Gaussian integers.

math.HO2016★ 1 cited

Fermat's Last Theorem: Algebra, Geometry, and Number Theory

Felix Sidokhine

In our work we give the examples using Fermat's Last Theorem for solving some problems from algebra, geometry and number theory

math.NT2014

Diophantine Inequalities as a Problem of Difference between Consecutive Primes

Felix Sidokhine

In the present paper, we have developed a method for solving \textit{diophantine inequalities} using their relationship with the \textit{difference between consecutive primes}. Usi…