Bogdan Grechuk

activity

20182026

most citedHigh-dimensional separability for one- and few-shot learning

12 citations · 22 across the 9 of their papers we have counts for

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2 papers · 1 filter

math.NT2024★ 1 cited

Generalised Fermat equation: a survey of solved cases

Ashleigh Ratcliffe, Bogdan Grechuk

Generalised Fermat equation (GFE) is the equation of the form $a x^{p} + b y^{q} = c z^{r}$ , where $a, b, c, p, q, r$ are positive integers. If $1/ p + 1/ q + 1/ r < 1$ , GFE is known to have at most finitely…

math.NT2023

Diophantine equations with three monomials

Bogdan Grechuk, Tetiana Grechuk, Ashleigh Wilcox

We present a general algorithm for solving all two-variable polynomial Diophantine equations consisting of three monomials. Before this work, even the existence of an algorithm for…