Thomas C. Martinez

activity

20202026

most citedGeneralizing Zeckendorf's Theorem to Homogeneous Linear Recurrences, II

3 citations · 3 across the 10 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.CV2022

On Benford's Law and the Coefficients of the Riemann Mapping Function for the Exterior of the Mandelbrot Set

Filippo Beretta, Jesse Dimino, Weike Fang +3

We investigate Benford's law in relation to fractal geometry. Basic fractals, such as the Cantor set and Sierpinski triangle are obtained as the limit of iterative sets, and the un…

math.NT2022

Class Numbers and Pell's Equation $x^{2} + 105 y^{2} = z^{2}$

Thomas Jaklitsch, Thomas C. Martinez, Steven J. Miller +1

Two well-studied Diophantine equations are those of Pythagorean triples and elliptic curves, for the first we have a parametrization through rational points on the unit circle, and…

On Benford's Law and the Coefficients of the Riemann Mapping Function for the Exterior of the Mandelbrot Set

Class Numbers and Pell's Equation x2+105y2=z2

Class Numbers and Pell's Equation $x^{2} + 105 y^{2} = z^{2}$