On the Growth of Some Functions Related to z(n)

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50016909" target="_blank" >RIV/62690094:18470/20:50016909 - isvavai.cz</a>

Result on the web

<a href="https://www.mdpi.com/2227-7390/8/6/876" target="_blank" >https://www.mdpi.com/2227-7390/8/6/876</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math8060876" target="_blank" >10.3390/math8060876</a>

Result language

angličtina

Original language name

On the Growth of Some Functions Related to z(n)

Original language description

The order of appearance z: Z(&gt;0) -&gt; Z(&gt;0) is an arithmetic function related to the Fibonacci sequence (F-n)(n). This function is defined as the smallest positive integer solution of the congruence F-k equivalent to 0(mod n). In this paper, we shall provide lower and upper bounds for the functions Sigma(n &lt;= x)z(n)/n, Sigma(p &lt;= x)z(p) and Sigma(pr &lt;= x)z(p(r)).

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

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

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

Name of the periodical

Mathematics

ISSN

2227-7390

e-ISSN

—

Volume of the periodical

8

Issue of the periodical within the volume

6

Country of publishing house

CH - SWITZERLAND

Number of pages

8

Pages from-to

"Article Number: 876"

UT code for WoS article

000554692100001

EID of the result in the Scopus database

2-s2.0-85086005324