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math.GM2025
Homotopies and Maps between Eigenvalues of some Generalized Lucas Sequences and the Mandelbrot Set
Arturo Ortiz-Tapia
The eigenvalues of companion matrices associated with generalized Lucas sequences, denoted as L, exhibit a striking geometric resemblance to the Mandelbrot set M. This work investi…
math.GM2023
On the equidistribution properties of patterns in prime numbers Jumping Champions, metaanalysis of properties as Low-Discrepancy Sequences, and some conjectures based on Ramanujan's master theorem and the zeros of Riemann's zeta function
Arturo Ortiz-Tapia
The Paul Erdős-Turán inequality is used as a quantitative form of Weyl' s criterion, together with other criteria to asses equidistribution properties on some patterns of sequences…
math.GM2018
Golden ratios, Lucas Sequences and the Quadratic Family
Arturo Ortiz Tapia
It is conjectured that there is a converging sequence of some generalized Fibonacci ratios, given the difference between consecutive ratios, such as the Golden Ratio, , and th…