J. Laughlin

activity

20002019

most citedPolynomial Solutions to Pell's Equation and Fundamental Units in Real Quadratic Fields

24 citations · 188 across the 39 of their papers we have counts for

collaborators

Showing 2001Show all

2 papers · 1 filter

math.NT2001★ 7 cited

Small Prime Powers in the Fibonacci Sequence

J. Mc Laughlin

It is shown that there are no non-trivial fifth-, seventh-, eleventh-, thirteenth- or seventeenth powers in the Fibonacci sequence. For eleventh, thirteenth- and seventeenth powers…

math.NT2001★ 8 cited

On the Divergence of the Rogers-Ramanujan Continued Fraction on the Unit Circle

Jimmy Mc Laughlin, Doug Bowman

Let the continued fraction expansion of any irrational number $t \in (0, 1)$ be denoted by $[0, a_{1} (t), a_{2} (t), ...]$ and let the i-th convergent of this continued fraction expansi…