13 citations · 40 across the 43 of their papers we have counts for
5 papers · 1 filter
Algorithms for determining integer complexity
J. Arias de Reyna, J. van de Lune
We present three algorithms to compute the complexity of all natural numbers . The first of them is a brute force algorithm, computing all these complexitie…
"How many 's are needed?" revisited
J. Arias de Reyna, J. van de Lune
We present a rigorous and relatively fast method for the computation of the "complexity" of a natural number (sequence A005245), and answer some "old and new" questions related to…
On the distribution (mod 1) of the normalized zeros of the Riemann Zeta-function
Juan Arias de Reyna
We consider the problem whether the ordinates of the non-trivial zeros of are uniformly distributed modulo the Gram points, or equivalently, if the normalized zeros …
Counting tuples restricted by coprimality conditions
Juan Arias de Reyna, Randell Heyman
Given a set we say that exhibits pairwise coprimality if for all . For a given positive we…
Computation of a Definite Integral
Juan Arias de Reyna
As an application of Cauchy's Theorem we prove that $\int_0^1\arctan\left({\arctanh x-\arctan x\over π+\arctanh x-\arctan x}\right) {dx\over x}= {π\over 8}\log{π^2\over 8}$ answeri…