An arithmetic function arising from Carmichael’s conjecture
نویسندگان
چکیده
منابع مشابه
An arithmetic function arising from Carmichael’s conjecture
Let φ denote Euler’s totient function. A century-old conjecture of Carmichael asserts that for every n, the equation φ(n) = φ(m) has a solution m 6= n. This suggests defining F (n) as the number of solutions m to the equation φ(n) = φ(m). (So Carmichael’s conjecture asserts that F (n) ≥ 2 always.) Results on F are scattered throughout the literature. For example, Sierpiński conjectured, and For...
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2011
ISSN: 1246-7405
DOI: 10.5802/jtnb.783