On an inequality for additive arithmetic functions
نویسندگان
چکیده
منابع مشابه
On an Arithmetic Inequality
We obtain an arithmetic proof and a refinement of the inequality φ(n) + σk(n) < 2n , where n ≥ 2 and k ≥ 2. An application to another inequality is also provided.
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1. A function is arithmetic if it is defined on the positive integers. Those arithmetic functions which assume real values and satisfy f(ab)-f(a)+f(b) for mutually prime integers a, b are classically called additive. The following examples illustrate the interest of these functions, both for themselves and for their applications. An additive function is defined by its values on the prime powers...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1975
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-27-1-371-383