The zero-multiplicity of Berstel type sequences

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA200245L" target="_blank" >RIV/61988987:17310/19:A200245L - isvavai.cz</a>

Result on the web

<a href="https://ssmr.ro/bulletin/volumes/62-3/node6.html" target="_blank" >https://ssmr.ro/bulletin/volumes/62-3/node6.html</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The zero-multiplicity of Berstel type sequences

Original language description

A ternary linear recurrence (u(n))n >= 0 is of Berstel type if it satisfies the recurrence relation Un+3 = 2u(n+2) - 4u(n+1)+ 4u(n) for all n >= 0. In this paper, we investigate the zero-multiplicity of such sequences. We prove that, except for nonzero multiples of shifts of the Berstel sequence with initial values 0, 0, 1, which has zero-multiplicity 6, and nonzero multiples of shifts of the sequence with initial values 0, 1, 4, which has zero-multiplicity 3, all other sequences have zero multiplicity at most 2.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Bull. Math. Soc. Sci. Math. Roumanie

ISSN

1220-3874

e-ISSN

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Volume of the periodical

62

Issue of the periodical within the volume

3

Country of publishing house

RO - ROMANIA

Number of pages

11

Pages from-to

265-275

UT code for WoS article

000489055600005

EID of the result in the Scopus database

2-s2.0-85074270300