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Bogdan Grechuk

University of Leicester

https://www2.le.ac.uk/departments/mathematics/extranet/staff-material/staff-profiles/bg83

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Top Questions
58 votes

Can you solve the listed smallest open Diophantine equations?

nt.number-theory diophantine-equations asked Jul 31, 2021 at 8:15
mathoverflow.net

31 votes

Is equation $xy(x+y)=7z^2+1$ solvable in integers?

nt.number-theory algebraic-number-theory diophantine-equations asked Apr 22, 2022 at 21:48
mathoverflow.net

22 votes

On the smallest open Diophantine equations: beyond Hilbert's 10 problem

nt.number-theory diophantine-equations asked Dec 17, 2021 at 16:54
mathoverflow.net

16 votes

Representing $x^3-2$ as a sum of two squares

nt.number-theory polynomials diophantine-equations sums-of-squares asked Dec 2, 2021 at 16:54
mathoverflow.net

11 votes

How to describe all integer solutions to $x^2+y^2=3z^2+1$?

nt.number-theory diophantine-equations quadratic-forms asked Oct 9, 2022 at 20:58
mathoverflow.net

10 votes

Solve in integers: $y(x^2+1)=z^2+1$

nt.number-theory diophantine-equations asked Jan 28, 2022 at 11:08
mathoverflow.net

9 votes

$y^3=x^4+x+1$, and rational points on rank 2 Picard curves

ag.algebraic-geometry nt.number-theory diophantine-equations asked Feb 9, 2022 at 22:31
mathoverflow.net

9 votes

Can $y^2-4$ be a divisor of $x^3-x^2-2 x+1$?

nt.number-theory diophantine-equations asked Mar 9, 2022 at 20:31
mathoverflow.net

8 votes

Existence of rational points on a generalized Fermat quartic

ag.algebraic-geometry nt.number-theory diophantine-equations asked Apr 21 at 20:07
mathoverflow.net

8 votes

Hilbert 10th problem for genus 2 equations

nt.number-theory algebraic-number-theory diophantine-equations computational-number-theory decidability asked Oct 14, 2021 at 19:20
mathoverflow.net

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