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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Showing 2021Show all

3 papers · 1 filter

math.NT2021★ 1 cited

Improved Constants for Effective Irrationality Measures from Hypergeometric Functions

Paul Voutier

In this paper, we simplify and improve the constant, $c$ , that appears in effective irrationality measures, $∣ (a / b)^{m / n} - p / q ∣ > c ∣ q ∣^{- (κ + 1)}$ , obtained from the hypergeometric meth…

math.NT2021

Properties of Trinomials of Height at least 2

V. Flammang, P. Voutier

This paper is concerned with trinomials of the form $z^{n} + a z^{m} + b$ , where $0 < m < n$ are relatively prime integers and $a$ and $b$ are non-zero complex numbers. Typically (but not e…

math.NT2021

Near-squares in binary recurrence sequences

Nikos Tzanakis, Paul Voutier

We call an integer a \emph{near-square} if its absolute value is a square or a prime times a square. We investigate such near-squares in the binary recurrence sequences defined for…