Asymptotic estimates of sums involving the Moebius function

DOI10.1016/0022-314X(82)90060-9zbMath0486.10004MaRDI QIDQ1164657

Krishnaswami Alladi

Publication date: 1982

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorsmallest prime factorsums involving Moebius function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (6)

Complex powers of \(L\)-functions and integers without small prime factors ⋮ Analogues of Alladi's formula ⋮ Asymptotic Estimates of Sums Involving the Moebius Function. II ⋮ Nicolaas Govert de Bruijn, the enchanter of friable integers ⋮ The Ramanujan sum and Chebotarev densities ⋮ The local distribution of the number of small prime factors: variation of the classical theme

Cites Work

• Duality between prime factors and an application to the prime number theorem for arithmetic progressions
• APPLICATION OF SOME INTEGRAL EQUATIONS TO PROBLEMS OF NUMBER THEORY
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