Density of singular pairs of integers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43953208" target="_blank" >RIV/49777513:23520/18:43953208 - isvavai.cz</a>
Result on the web
<a href="http://math.colgate.edu/~integers/vol18.html" target="_blank" >http://math.colgate.edu/~integers/vol18.html</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Density of singular pairs of integers
Original language description
An ordered pair of integers (m,n) is called singular if g.c.d.(m,phi(n))=1=g.c.d.(phi(m),n), a concept which is relevant to pairwise products of cyclic groups. In this note we show that the number of singular pairs is asymptotic to z(x)^2, where z(x) is a function derived by P. Erdos (1947) giving the asymptotics for the number of singular integers.
Czech name
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Czech description
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Classification
Type
J<sub>ost</sub> - Miscellaneous article in a specialist periodical
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Integers
ISSN
1553-1732
e-ISSN
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Volume of the periodical
18
Issue of the periodical within the volume
Neuvedeno
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
"Neuvedeno"
UT code for WoS article
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EID of the result in the Scopus database
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