Additive functions in short intervals, gaps and a conjecture of Erdős

DOI10.1007/s11139-022-00623-yOpenAlexW4294384736WikidataQ113900543 ScholiaQ113900543MaRDI QIDQ2097510

Alexander P. Mangerel

Publication date: 14 November 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12351

zbMATH Keywords

gapsadditive functionsshort intervalsrigidity problemsTurán-Kubilius inequality

Mathematics Subject Classification ID

Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (2)

Divisor-bounded multiplicative functions in short intervals ⋮ Limitations to equidistribution in arithmetic progressions

Cites Work

• Multiplicative functions in short intervals
• An averaged form of Chowla's conjecture
• Sur les moments d'une fonction additive
• Rigidity theorems for multiplicative functions
• On the distribution function of additive functions
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• THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS
• Large character sums: Pretentious characters and the Pólya-Vinogradov theorem
• An Erdos-Wintner Theorem for Differences of Additive Functions
• Additive Functions at Consecutive Integers
• Functional analysis and additive arithmetic functions
• A Brun-Titschmarsh theorem for multiplicative functions.
• Decay of Mean Values of Multiplicative Functions
• Théorème d’Erdős–Kac dans presque tous les petits intervalles
• On the bivariate Erdős–Kac theorem and correlations of the Möbius function
• Correlations of multiplicative functions and applications
• Lois locales de la fonction ω dans presque tous les petits intervalles
• Über die Mittelwerte multiplikativer zahlentheoretischer Funktionen
• Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
• Additive Arithmetical Functions and Statistical Independence
• The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions
• On a problem of P. Erdős
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