Victor Volfson

activity

20152026

most citedConverting of algebraic Diophantine equations to a diagonal form with the help of an integer non-orthogonal transformation, maintaining the asymptotic behavior of the number of its integer solutions

1 citations · 1 across the 24 of their papers we have counts for

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Showing 2016 · math.NTShow all

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math.NT2016

Integer conversions and estimation of the number of integer solutions of algebraic Diophantine equations

Victor Volfson

The paper assesses the top number of integer solutions for algebraic Diophantine Thue diagonal equation of the degree $n \geq 2$ and number of variables $k > 2$ and equations with…

math.NT2016

Estimating of the number of integer (natural) solutions of inhomogeneous algebraic Diophantine diagonal equations with integer coefficients

Victor Volfson

This paper investigates the upper bound of the number of integer (natural) solutions of inhomogeneous algebraic Diophantine diagonal equations with integer coefficients without a f…

math.NT2016

Estimating of the number of natural solutions of homogeneous algebraic Diophantine diagonal equations with integer coefficients

Victor Volfson

Author developed a method in the paper, which, unlike the circle method of Hardy and Littlewood (CM), allows you to perform a lower estimate for the number of natural (integer) sol…