P. Voutier

activity

20082026

most citedAn effective lower bound for the height of algebraic numbers

120 citations · 320 across the 32 of their papers we have counts for

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math.NT2024

$n$ -defective Lehmer pairs for small $n$ : Corrections and Clarifications

Paul M. Voutier

We provide some corrections and clarifications of statements in \cite{Ab} and \cite{BHV} regarding elements in Lehmer sequences that have no primitive divisors for small $n$ .

math.NT2024

A family of cyclic quartic monogenic polynomials

Paul M. Voutier

We produce an explicit family of totally real cyclic quartic polynomials that are monogenic in many cases and, if the $ab c$ conjecture holds, generate distinct monogenic quartic fi…

math.NT2024★ 2 cited

Bounds on the number of squares in recurrence sequences

Paul M Voutier

We investigate the number of squares in a very broad family of binary recurrence sequences with $u_{0} = 1$ . We show that there are at most two distinct squares in such sequences (th…

n-defective Lehmer pairs for small n: Corrections and Clarifications

A family of cyclic quartic monogenic polynomials

Bounds on the number of squares in recurrence sequences

$n$ -defective Lehmer pairs for small $n$ : Corrections and Clarifications