Coincidences in the values of the Euler and Carmichael functions

William D. Banks, John Friedlander, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski

Type: Article

Publication Date: 2006-01-01

Citations: 13

DOI: https://doi.org/10.4064/aa122-3-1

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Acta Arithmetica - View - PDF
MOspace Institutional Repository (University of Missouri) - View - PDF
Iris (Roma Tre University) - View - PDF

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+	Congruences for arithmetic functions	2021	Wu-Xia Ma Yong-Gao Chen
+ PDF Chat	An arithmetic function arising from Carmichael’s conjecture	2011	Florian Luca Paul Pollack
+ PDF Chat	On the Range of the Iterated Euler Function	2009	Florian Luca Carl Pomerance
+	On Some Dynamical Systems in Finite Fields and Residue Rings	2006	Igor E. Shparlinski
+	Diophantine equations involving Euler function	2020	Hairong Bai
+ PDF Chat	On the range of Carmichael's universal-exponent function	2014	Florian Luca Carl Pomerance
+ PDF Chat	on the value set of the Carmichael λ-function	2007	John Friedlander Florian Luca
+	ON THE RANGE OF THE ITERATED EULER FUNCTION	2008	Florian Luca Carl Pomerance
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+ PDF Chat	On some dynamical systems in finite fields and residue rings	2007	Igor E. Shparlinski

Works Cited by This (20)

Action	Title	Year	Authors
+ PDF Chat	Carmichael's lambda function	1991	P. Erdős Carl Pomerance Eric Schmutz
+	Multiplicative Number Theory	1980	H. Davenport
+ PDF Chat	Multiplicative structure of values of the Euler function	2004	William D. Banks John Friedlander Carl Pomerance Igor E. Shparlinski
+	The Riemann Zeta-Function	1992	A. A. Karatsuba Сергей Воронин
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum
+ PDF Chat	On the number of distinct values of Euler's φ-function	1988	Helmut Maier Carl Pomerance
+	Euler’s Function in Residue Classes	1998	Thomas P. Dence Carl Pomerance
+ PDF Chat	Shifted primes without large prime factors	1998	Roger C. Baker G. Harman
+	None	1998	Kevin Ford
+ PDF Chat	Residue classes free of values of Euler’s function	1999	Kevin Ford Sergeĭ Konyagin Carl Pomerance