arXiv subjects

Serafín Ruiz-Cabello

Publications and source records attributed to Serafín Ruiz-Cabello.

2 recordsLinked to original sources

arXiv2015

On the use of the least common multiple to build a prime-generating recurrence

We study a recursively defined sequence which is constructed using the least common multiple. It has been conjectured that every term of that sequence is $1$ or a prime. In this paper we show that this claim is connected to a strong version of Linnik's Theorem, which is yet unproved. We also study a generalization on which composite numbers may appear depending on the initial term.

math.CO↗

arXiv2015

The Hölder exponent of some Fourier series

In this paper we study the local regularity of fractional integrals of Fourier series using several definitions of the Hölder exponent. We especially consider series coming from fractional integrals of modular forms. Our results show that in general cusp forms give rise to pure fractals (as opposed to multifractals). We include explicit examples and computer plots.

math.CA↗