The Distribution of Totients

Kevin Ford

Type: Book-Chapter

Publication Date: 1998-01-01

Citations: 11

DOI: https://doi.org/10.1007/978-1-4757-4507-8_8

View Publication

Locations

Developments in mathematics - View

Similar Works

Action	Title	Year	Authors
+	Residue classes free of values of Euler's function	2020	Kevin R. Ford Sergeĭ Konyagin Carl Pomerance
+ PDF Chat	Residue classes free of values of Euler’s function	1999	Kevin Ford Sergeĭ Konyagin Carl Pomerance
+	A Generalisation of Euler Totient Function	2022	Vlad Robu
+	Computing the inverses, their power sums, and extrema for Euler's totient and other multiplicative functions	2014	Max A. Alekseyev
+	Computing the inverses, their power sums, and extrema for Euler's totient and other multiplicative functions	2014	Max A. Alekseyev
+ PDF Chat	Common values of the arithmetic functions <i>ϕ</i> and <i>σ</i>	2010	Kevin Ford Florian Luca Carl Pomerance
+ PDF Chat	WHEN THE SUM OF ALIQUOTS DIVIDES THE TOTIENT	2007	William D. Banks Florian Luca
+ PDF Chat	On sparsely totient numbers	1986	David Masser Peter Shiu
+ PDF Chat	Density properties of fractions with Euler's totient function	2024	Karin Halupczok Marvin Ohst
+	On Arithmetic Functions Related to Iterates of the Schemmel Totient Functions	2015	Colin Defant
+	On Arithmetic Functions Related to Iterates of the Schemmel Totient Functions	2015	Colin Defant
+	Investigating the Subadditivity of the Prime Counting Function π(z) and Its Implications for the Second Hardy–Littlewood Conjecture	2024	Anshuman Padhi
+	Number Theory	2010	Kenneth Lange
+	Kusniec's Theorem (expanded)	2024	Charles Kusniec
+ PDF Chat	The Distribution of Totatives	2005	Jam Germain
+	Combinatorial properties of sparsely totient numbers	2019	Mithun Kumar Das Pramod Eyyunni Bhuwanesh Rao Patil
+	The Prime Divisor Functions	1984	Manfred R. Schroeder
+ PDF Chat	Distribution mod p of Euler’s Totient and the Sum of Proper Divisors	2023	Noah Lebowitz-Lockard Paul Pollack Akash Singha Roy
+	The Seminatural Numbers	1966	Samuel T. Stern
+	The Prime Divisor Functions	1997	Manfred R. Schroeder

Works That Cite This (10)

Action	Title	Year	Authors
+ PDF Chat	Divisors of the Euler and Carmichael functions	2008	Kevin Ford Yong Hu
+ 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
+ PDF Chat	The image of Carmichael’s<i>λ</i>-function	2014	Kevin Ford Florian Luca Carl Pomerance
+ PDF Chat	On the range of Carmichael's universal-exponent function	2014	Florian Luca Carl Pomerance
+	Remarks on Fibers of the Sum-of-Divisors Function	2015	Paul Pollack
+ PDF Chat	THE MAXIMAL ORDER OF ITERATED MULTIPLICATIVE FUNCTIONS	2019	Christian Elsholtz Marc Technau Niclas Technau
+ PDF Chat	On some dynamical systems in finite fields and residue rings	2007	Igor E. Shparlinski
+	Divisibility	2004	Richard K. Guy
+ PDF Chat	On the least common multiple of Lucas subsequences	2013	Shigeki Akiyama Florian Luca

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	On the values of Euler's φ-function	1973	Paul Erdős R. R. Hall
+ PDF Chat	On the number of distinct values of Euler's φ-function	1988	Helmut Maier Carl Pomerance
+ PDF Chat	Remarks on the paper "Sur certaines hypothèses concernant les nombres premiers"	1961	Andrzej Schinzel
+ PDF Chat	On Euler’s 𝜙-function	1907	R. D. Carmichael
+ PDF Chat	On some functions connected with 𝜙(𝑛)	1929	S. S. Pillai
+	The Difference Between Consecutive Primes	1996	Roger C. Baker G. Harman
+	ON THE NORMAL NUMBER OF PRIME FACTORS OF <i>p</i>-1 AND SOME RELATED PROBLEMS CONCERNING EULER'S ø-FUNCTION	1935	P. Erdős
+ PDF Chat	On the normal number of prime factors of $\phi(n)$	1985	Paul Erdös Carl Pomerance
+ PDF Chat	Note on Euler’s 𝜑-function	1922	R. D. Carmichael
+ PDF Chat	A heuristic asymptotic formula concerning the distribution of prime numbers	1962	Paul T. Bateman Roger A. Horn