Combinatorial identities and Titchmarsh's divisor problem for multiplicative functions

DOI10.2140/ant.2019.13.2383zbMath1472.11252arXiv1807.09569OpenAlexW2883425791WikidataQ126407159 ScholiaQ126407159MaRDI QIDQ2287652

Sary Drappeau, Berke Topacogullari

Publication date: 21 January 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09569

zbMATH Keywords

combinatorial identitydivisor functionshifted convolution

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (6)

Additive problems with almost prime squares ⋮ An induction principle for the Bombieri-Vinogradov theorem over \(\mathbb{F}_q [t\) and a variant of the Ttchmarsh divisor problem] ⋮ On the Möbius function in all short intervals ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ Uniform Titchmarsh divisor problems ⋮ Multiplicative functions in large arithmetic progressions and applications

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