Mean value estimates of gcd and lcm-sums
نویسندگان
چکیده
We study the distribution of generalized gcd and lcm functions on average. The function, denoted by [Formula: see text], is greatest text]th power divisor common to text] text]. Likewise, smallest multiple derive asymptotic formulas for average order arithmetic, geometric, harmonic means Additionally, we also deduce with error terms over a set lattice points, thereby generalizing some previous work lcm-sum estimates.
منابع مشابه
Mean Values of Generalized gcd-sum and lcm-sum Functions
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ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2021
ISSN: ['1793-7310', '1793-0421']
DOI: https://doi.org/10.1142/s1793042122500348