P. Voutier

activity

20082026

most citedAn effective lower bound for the height of algebraic numbers

120 citations · 320 across the 31 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018★ 9 cited

Indecomposable integers in real quadratic fields

Magdaléna Tinková, Paul Voutier

In 2016, Jang and Kim stated a conjecture about the norms of indecomposable integers in real quadratic number fields $Q (D)$ where $D > 1$ is a squarefre…

math.NT2018

Sharp bounds on the number of squares in recurrence sequences and solutions of $X^{2} - (a^{2} + b) Y^{4} = - b$

Paul M Voutier

We obtain best possible results for the number of coprime positive integer solutions of the equation in the title when $a$ is a positive integer, $b = p^{m}$ , $2 p^{m}$ or $4 p^{m}$ , w…

Indecomposable integers in real quadratic fields

Sharp bounds on the number of squares in recurrence sequences and solutions of X2−(a2+b)Y4=−b

Sharp bounds on the number of squares in recurrence sequences and solutions of $X^{2} - (a^{2} + b) Y^{4} = - b$