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 2014Show all

2 papers · 1 filter

math.NT2014★ 1 cited

Modules with many non-associates and norm form equations with many families of solutions

Paul Voutier

For every number field $K$ , with $[K : Q] \geq 3$ , we show that the number of non-associates of the same norm in a full module in $K$ does not dep…

math.NT2014★ 54 cited

Complete solution of the diophantine equation $X^{2} + 1 = d Y^{4}$ and a related family of quartic Thue equations

Chen Jian Hua, Paul Voutier

In this paper, we use the method of Thue and Siegel, based on explicit Pade approximations to algebraic functions, to completely solve a family of quartic Thue equations. From this…

Modules with many non-associates and norm form equations with many families of solutions

Complete solution of the diophantine equation X2+1=dY4 and a related family of quartic Thue equations

Complete solution of the diophantine equation $X^{2} + 1 = d Y^{4}$ and a related family of quartic Thue equations