31 citations · 55 across the 5 of their papers we have counts for
5 papers
The local Dold congruence for Fibonacci and Lucas sequences
Sompong Chuysurichay, Sawian Jaidee, Chatchawan Panraksa +1
We discuss local properties of the classical Fibonacci and Lucas sequences, characterising in both cases those primes~ for which the~-part satisfies the Dold congruences or i…
An elliptic sequence is not a sampled linear recurrence sequence
Florian Luca, Tom Ward
Let be an elliptic curve defined over the rationals and in minimal Weierstrass form, and let be a rational point of infinite order on , where $x_1,…
A directional uniformity of periodic point distribution and mixing
R. Miles, T. Ward
For mixing~-actions generated by commuting automorphisms of a compact abelian group, we investigate the directional uniformity of the rate of periodic point distributi…
Mertens' theorem for toral automorphisms
S. Jaidee, S. Stevens, T. Ward
A dynamical Mertens' theorem for ergodic toral automorphisms with error term O(N^{-1}) is found, and the influence of resonances among the eigenvalues of unit modulus is examined.…
Dirichlet series for finite combinatorial rank dynamics
G. Everest, R. Miles, S. Stevens +1
We introduce a class of group endomorphisms -- those of finite combinatorial rank -- exhibiting slow orbit growth. An associated Dirichlet series is used to obtain an exact orbit c…