MEAN VALUES OF ARITHMETIC FUNCTIONS IN SHORT INTERVALS AND IN ARITHMETIC PROGRESSIONS IN THE LARGE‐DEGREE LIMIT

DOI10.1112/mtk.12032zbMath1445.11100OpenAlexW3014213467MaRDI QIDQ5112837

Ofir Gorodetsky

Publication date: 9 June 2020

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/mtk.12032

zbMATH Keywords

arithmetic progressionsarithmetic functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Asymptotic results on arithmetic functions (11N37) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (6)

The sixth power moment of Dirichlet \(L\)-functions over rational function fields ⋮ Divisor-bounded multiplicative functions in short intervals ⋮ The tamely ramified geometric quantitative minimal ramification problem ⋮ Correlations of multiplicative functions in function fields ⋮ Correlation of multiplicative functions over Fq[x$\mathbb {F}_q[x]$: A pretentious approach] ⋮ Traces of powers of matrices over finite fields

Cites Work

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• Brick tabloids and the connection matrices between bases of symmetric functions
• DDT theorem over square-free numbers in short interval
• Prime polynomials in short intervals and in arithmetic progressions
• A note on character sums in finite fields
• The distribution of integers with a divisor in a given interval
• The Selberg–Delange method in short intervals with an application

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