On the sum of the Möbius function in a short segment

DOI10.3792/pja/1195518209zbMath0372.10033OpenAlexW2071900029MaRDI QIDQ4149813

Yoichi Motohashi

Publication date: 1976

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518209

Mathematics Subject Classification ID

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

Related Items

On primes, almost primes, and the Möbius function in short intervals ⋮ Weakly tame systems, their characterizations and applications ⋮ On the Möbius function in all short intervals ⋮ The Selberg-Delange method in short intervals with some applications ⋮ Multiplicative functions in short intervals, with applications ⋮ Distribution of primes of imaginary quadratic fields in sectors ⋮ Estimation of certain short sums

Cites Work

• Unnamed Item
• Über den Primzahlsatz von Herrn Hoheisel
• Zur Abschätzung der Riemannschen Zetafunktion in der Nähe der Vertikalen \(\sigma = 1\)
• Topics in multiplicative number theory
• Bombieri's mean value theorem
• On the difference between consecutive primes