C. Poulias

collaborators

3 papers

math.NT2021

An approximately translation-dilation invariant system

Constantinos Poulias

Let $θ > 2$ be real and non-integral with integer part $n = ⌊ θ ⌋$ and let $ϕ (x)$ be a generalised polynomial with leading term $x^{θ} .$ We establish a mean value estimate…

math.NT2021

Simultaneous equations and inequalities

Constantinos Poulias

Let $λ_{i}, μ_{j}$ be non-zero real numbers not all of the same sign and let $a_{i}, b_{k}$ be non-zero integers not all of the same sign. We investigate a mixed Diophantine system of the…

math.NT2021

Diophantine inequalities of fractional degree

Constantinos Poulias

This paper is concerned with the study of diagonal Diophantine inequalities of fractional degree $θ,$ where $θ > 2$ is real and non-integral. For fixed non-zero real numbers $ λ_i…