K. Draziotis

activity

20092026

most citedAn Effective Version of Chevalley-Weil Theorem for Projective Plane Curves

2 citations · 3 across the 10 of their papers we have counts for

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math.NT2022

Descent methods for studying integer points on $y^{n} = f (x) g (x), n \geq 2$

K. A. Draziotis

We study the integer points on superelliptic and hyperelliptic curves of the form $y^{n} = f (x) g (x),$ $n \geq 2, deg f + deg g \geq 4.$

math.NT2022

Practical solution of some families of quartic and sextic diophantine hyperelliptic equations

Konstantinos A. Draziotis

Using elementary number theory we study Diophantine equations over the rational integers of the following form, $y^{2} = (x + a) (x + a + k) (x + b) (x + b + k)$ , $y^{2} = c^{2} x^{4} + a x^{2} + b$ and $y^2=(x^2-1)…

math.NT2020

Product Subset Problem : Applications to number theory and cryptography

K. A. Draziotis, V. Martidis, S. Tiganourias

We consider applications of Subset Product Problem (SPP) in number theory and cryptography. We obtain a probabilistic algorithm that attack SPP and we analyze it with respect time/…

Descent methods for studying integer points on yn=f(x)g(x), n≥2

Practical solution of some families of quartic and sextic diophantine hyperelliptic equations

Product Subset Problem : Applications to number theory and cryptography

Descent methods for studying integer points on $y^{n} = f (x) g (x), n \geq 2$