On the Erdos-Sloane and Shifted Sloane Persistence Problems

Bonuccelli, Gabriel; Colucci, Lucas; de Faris, Edson

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the Erdos-Sloane and Shifted Sloane Persistence Problems

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Author(s):	Bonuccelli, Gabriel ^[1] ; Colucci, Lucas ^[1] ; de Faris, Edson ^[1] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	JOURNAL OF INTEGER SEQUENCES; v. 23, n. 10 2020.
Web of Science Citations:	0
Abstract
In this paper, we investigate two variations on the so-called persistence problem of Sloane: the shifted version, which was introduced by Wagstaff; and the nonzero version, proposed by Erdos. We explore connections between these problems and a recent conjecture of de Faria and Tresser regarding equidistribution of the digits of some integer sequences and a natural generalization of it. (AU)

FAPESP's process:	16/25053-8 - Dynamics and geometry in low dimensions
Grantee:	André Salles de Carvalho
Support Opportunities:	Research Projects - Thematic Grants

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