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2018•TURKISH JOURNAL OF MATHEMATICSOpen access

On some multivariate LCM and GCD sums

Khola ALGALI

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Abstract

In this paper we obtain an asymptotic formula with a power saving error term for the summation function of a family of generalized least common multiple and greatest common divisor functions of several integer variables.

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What this paper is about

In this paper we obtain an asymptotic formula with a power saving error term for the summation function of a family of generalized least common multiple and greatest common divisor functions of several integer variables.

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Available abstract

In this paper we obtain an asymptotic formula with a power saving error term for the summation function of a family of generalized least common multiple and greatest common divisor functions of several integer variables.

Key concepts: Mathematics, Greatest common divisor, Divisor (algebraic geometry), Integer (computer science), Multivariate statistics, Least common multiple, Asymptotic formula, Term (time)

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On some multivariate LCM and GCD sums — Research Paper | ScholarLens