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Juan Arias de Reyna

4 papers here

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • first author2

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.NT4
ORCID 0000-0003-3348-4374

identity via Semantic Scholar / OpenAlex

most citedAlgorithms for determining integer complexity

8 citations · 10 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2023

Complexity of natural numbers and arithmetic compact sets

Juan Arias de Reyna

The complexity ∥n∥ of a natural number is the least number of 1 needed to represent n using the 5 symbols (,),∗,+,1. A natural number n is called stable is $…

math.NT2014★ 8 cited

Algorithms for determining integer complexity

J. Arias de Reyna, J. van de Lune

We present three algorithms to compute the complexity ∥n∥ of all natural numbers n≤N. The first of them is a brute force algorithm, computing all these complexitie…

math.NT2014★ 2 cited

"How many 1'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…

math.NT2014

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 ζ(s) are uniformly distributed modulo the Gram points, or equivalently, if the normalized zeros (xn​)…

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