A sharp inequality of Halász type for the mean value of a multiplicative arithmetic function

DOI10.1112/S0025579300011426zbMath0831.11050MaRDI QIDQ4844788

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Publication date: 18 February 1996

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

extremal setsMinkowski's support functionStützfunktionconvex subsets of the unit discMontgomery's estimate of sums \(\sum n\leq xg (n)\)precise upper estimatessums over complex-valued multiplicative functions of absolute value \(\leq 1\)

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Lattices and convex bodies (number-theoretic aspects) (11H06) Convex sets in (2) dimensions (including convex curves) (52A10) Rate of growth of arithmetic functions (11N56)

Related Items (7)

ON BINARY CORRELATIONS OF MULTIPLICATIVE FUNCTIONS ⋮ Multiple ergodic theorems for arithmetic sets ⋮ Effective means for complex multiplicative functions ⋮ On the residue class distribution of the number of prime divisors of an integer ⋮ Higher order Fourier analysis of multiplicative functions and applications ⋮ On the parity of the number of multiplicative partitions and related problems ⋮ Remarks on the Selberg–Delange method

Cites Work

• On a result of R. R. Hall
• Quantitative Mean Value Theorems for Non-Negative Multiplicative Functions I
• Effective mean value estimates for complex multiplicative functions
• Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen
• Das asymptotische Verhalten von Summen über multiplikative Funktionen. II

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