91 citations · 698 across the 49 of their papers we have counts for
15 papers · 1 filter
Growth of Mahler measure and algebraic entropy of dynamics with the Laurent property
Andrew N. W. Hone
We consider the growth rate of the Mahler measure in discrete dynamical systems with the Laurent property, and in cluster algebras, and compare this with other measures of growth.…
Heron triangles with two rational medians and Somos-5 sequences
Andrew N. W. Hone
Triangles with integer length sides and integer area are known as Heron triangles. Taking rescaling freedom into account, one can apply the same name when all sides and the area ar…
Efficient ECM factorization in parallel with the Lyness map
Andrew N. W. Hone
The Lyness map is a birational map in the plane which provides one of the simplest discrete analogues of a Hamiltonian system with one degree of freedom, having a conserved quantit…
ECM factorization with QRT maps
Andrew N. W. Hone
Quispel-Roberts-Thompson (QRT) maps are a family of birational maps of the plane which provide the simplest discrete analogue of an integrable Hamiltonian system, and are associate…
Continued fractions and Hankel determinants from hyperelliptic curves
Andrew N. W. Hone
Following van der Poorten, we consider a family of nonlinear maps which are generated from the continued fraction expansion of a function on a hyperelliptic curve of genus $\mathrm…
Continued fractions and irrationality exponents for modified Engel and Pierce series
Andrew N. W. Hone, Juan Luis Varona
An Engel series is a sum of reciprocals of a non-decreasing sequence of positive integers, which is such that each term is divisible by the previous one, and a Pierce serie…