Oscillatory properties of $M(x) = \sum_{n≤x} μ(n)$, I

DOI10.4064/aa-42-1-49-55zbMath0469.10019OpenAlexW4237611661MaRDI QIDQ3922749

János Pintz

Publication date: 1982

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205861

zbMATH Keywords

sign changeseffective lower boundestimates of sums of Möbius function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06) Distribution of primes (11N05)

Related Items (5)

Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$ ⋮ The Lindelöf hypothesis for primes is equivalent to the Riemann hypothesis ⋮ Lower bounds for positive and negative parts of measures and the arrangement of singularities of their Laplace transforms ⋮ THE CONJECTURE IMPLIES THE RIEMANN HYPOTHESIS ⋮ On the density theorem of Halász and Turán

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