SIFAT-SIFAT FUNGSI PHI EULER DAN BATAS PRAPETA FUNGSI PHI EULER

Rizkun As Syirazi, Thresye Thresye, Nurul Huda

Abstract



Little Fermat's theory successfully generalized by Euler using Euler's phi function, The phi function Euler ฯ†ฯ† (๐’‰๐’‰) is defined as the number of not more than ๐’‰๐’‰ and prime with ๐’‰๐’‰. Gupta (1981) says not all of the original numbers are a range element ฯ†ฯ†. The purpose of this study is to determine the properties of the Euler phi function and determine the lower bound and upper limit of the preample of a number under the phi Euler function. This study is a literature study by collecting and studying various references related to the research topic. The result obtained is the relationship of the original number to the map of the number when it is imposed with the phi Euler function and the Euler's function preleta limits, both the lower and upper limits. The limit can be used to specify the set ofprapeta a number under the phi euler function

Keywords


Function of Phi Euler, Phi Euler Prapeta.

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References


Apostol, T.M. Introduction to analytic Number Theory. California Institu of Tecnology. United States of America.

Bartle & Sherbet. 2000. Introduction to Real Analysis Third Edition. Hamilton: United State of America.

Burton, D. M. 2011. Elementary Number Theory Seventh Edition. McGraw Hill: New York.

Coppel, W. R. 2006. Number theory An Introduction To Mathematics: Part A. New York: United Stated of America.

Gupta, H. 1981. Eulerโ€™s totient function and its inverse. Indian J. Pure appl. Math., 12(1): 22-30.

Rosen. K. H. 2005. Elementary Number Theory And Its Aplication Fifth Edition. AT&T Laboratories: United States of America.




DOI: https://doi.org/10.20527/epsilon.v11i1.115

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