Values of the Euler Function in Various Sequences
نویسندگان
چکیده
Let ’ðnÞ and ðnÞ denote the Euler and Carmichael functions, respectively. In this paper, we investigate the equation ’ðnÞ 1⁄4 ðnÞ, where r 5 s5 1 are fixed positive integers. We also study those positive integers n, not equal to a prime or twice a prime, such that ’ðnÞ 1⁄4 p 1 holds with some prime p, as well as those positive integers n such that the equation ’ðnÞ 1⁄4 f ðmÞ holds with some integer m, where f is a fixed polynomial with integer coefficients and degree deg f > 1. 2000 Mathematics Subject Classification: 11N25, 11N64, 11Y70
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