Matches in SemOpenAlex for { <https://semopenalex.org/work/W1544664880> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W1544664880 endingPage "36" @default.
- W1544664880 startingPage "31" @default.
- W1544664880 abstract "Euler's $phi$ function, which counts the number of positive integers relative prime to and smallerthan its argument, as well as the sum of divisors function $sigma$, play an important role in number theory and its applications. In this paper, we survey various old and new results related to the distribution of the values of these two functions, their popular values, their champions, and the distribution of those positive integers satisfyingcertain equations involving such function, like the perfect numbers and the amicable numbers.In the second part of this paper, we discuss some of the ideas which are used in the proof of a recent result of Ford, Luca, and Pomerance which says that there are infinitely many common values in the ranges of these twofunctions. This settles a 50 year old question ofErdH os." @default.
- W1544664880 created "2016-06-24" @default.
- W1544664880 creator A5003788721 @default.
- W1544664880 creator A5007752336 @default.
- W1544664880 date "2011-03-01" @default.
- W1544664880 modified "2023-09-28" @default.
- W1544664880 title "$phi$ and $sigma$: from Euler to ErdH os" @default.
- W1544664880 hasPublicationYear "2011" @default.
- W1544664880 type Work @default.
- W1544664880 sameAs 1544664880 @default.
- W1544664880 citedByCount "0" @default.
- W1544664880 crossrefType "journal-article" @default.
- W1544664880 hasAuthorship W1544664880A5003788721 @default.
- W1544664880 hasAuthorship W1544664880A5007752336 @default.
- W1544664880 hasConcept C110121322 @default.
- W1544664880 hasConcept C113429393 @default.
- W1544664880 hasConcept C114614502 @default.
- W1544664880 hasConcept C118615104 @default.
- W1544664880 hasConcept C121332964 @default.
- W1544664880 hasConcept C134306372 @default.
- W1544664880 hasConcept C14036430 @default.
- W1544664880 hasConcept C184992742 @default.
- W1544664880 hasConcept C185592680 @default.
- W1544664880 hasConcept C198944804 @default.
- W1544664880 hasConcept C202444582 @default.
- W1544664880 hasConcept C2778049214 @default.
- W1544664880 hasConcept C33923547 @default.
- W1544664880 hasConcept C55493867 @default.
- W1544664880 hasConcept C62520636 @default.
- W1544664880 hasConcept C62884695 @default.
- W1544664880 hasConcept C78458016 @default.
- W1544664880 hasConcept C86803240 @default.
- W1544664880 hasConcept C98184364 @default.
- W1544664880 hasConceptScore W1544664880C110121322 @default.
- W1544664880 hasConceptScore W1544664880C113429393 @default.
- W1544664880 hasConceptScore W1544664880C114614502 @default.
- W1544664880 hasConceptScore W1544664880C118615104 @default.
- W1544664880 hasConceptScore W1544664880C121332964 @default.
- W1544664880 hasConceptScore W1544664880C134306372 @default.
- W1544664880 hasConceptScore W1544664880C14036430 @default.
- W1544664880 hasConceptScore W1544664880C184992742 @default.
- W1544664880 hasConceptScore W1544664880C185592680 @default.
- W1544664880 hasConceptScore W1544664880C198944804 @default.
- W1544664880 hasConceptScore W1544664880C202444582 @default.
- W1544664880 hasConceptScore W1544664880C2778049214 @default.
- W1544664880 hasConceptScore W1544664880C33923547 @default.
- W1544664880 hasConceptScore W1544664880C55493867 @default.
- W1544664880 hasConceptScore W1544664880C62520636 @default.
- W1544664880 hasConceptScore W1544664880C62884695 @default.
- W1544664880 hasConceptScore W1544664880C78458016 @default.
- W1544664880 hasConceptScore W1544664880C86803240 @default.
- W1544664880 hasConceptScore W1544664880C98184364 @default.
- W1544664880 hasIssue "1" @default.
- W1544664880 hasLocation W15446648801 @default.
- W1544664880 hasOpenAccess W1544664880 @default.
- W1544664880 hasPrimaryLocation W15446648801 @default.
- W1544664880 hasRelatedWork W1574607714 @default.
- W1544664880 hasRelatedWork W1661757955 @default.
- W1544664880 hasRelatedWork W1988098103 @default.
- W1544664880 hasRelatedWork W2063450634 @default.
- W1544664880 hasRelatedWork W2136069701 @default.
- W1544664880 hasRelatedWork W2136746405 @default.
- W1544664880 hasRelatedWork W2165383533 @default.
- W1544664880 hasRelatedWork W2327188459 @default.
- W1544664880 hasRelatedWork W2478845376 @default.
- W1544664880 hasRelatedWork W2905365090 @default.
- W1544664880 hasRelatedWork W2951392385 @default.
- W1544664880 hasRelatedWork W2980949582 @default.
- W1544664880 hasRelatedWork W2982695565 @default.
- W1544664880 hasRelatedWork W2984741998 @default.
- W1544664880 hasRelatedWork W2994876795 @default.
- W1544664880 hasRelatedWork W2999633437 @default.
- W1544664880 hasRelatedWork W3010450505 @default.
- W1544664880 hasRelatedWork W3042265560 @default.
- W1544664880 hasRelatedWork W3134907820 @default.
- W1544664880 hasRelatedWork W2187261397 @default.
- W1544664880 hasVolume "12" @default.
- W1544664880 isParatext "false" @default.
- W1544664880 isRetracted "false" @default.
- W1544664880 magId "1544664880" @default.
- W1544664880 workType "article" @default.