3 papers
math.NT2020
The prime pairs are equidistributed among the coset lattice congruence classes
Theophilus Agama, Marco Bortolamasim, Arturo Tapia
In this paper we show that for some constant and for any there exist some such that, If then we have \begin{align} Ψ_z(x;\mathcal{N}_q(a,b…
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…
math.GM2016
Studies of entropy measures concerning the gaps of prime numbers
Arturo Ortiz Tapia, Hans Henrik Støleum
The Shannon entropy is used as a basis for applying different lemmas and conjectures concerning the set of gaps between prime numbers G_p , thus estimating several measures of it.…