On the generalised Dirichlet divisor problem

Author:

Bellotti Chiara1ORCID,Yang Andrew1

Affiliation:

1. School of Science The University of New South Wales Canberra Australia

Abstract

AbstractWe improve unconditional estimates on , the remainder term of the generalised divisor function, for large . In particular, we show that for all sufficiently large fixed .

Publisher

Wiley

Reference23 articles.

1. S.BaluyotandC.Castillo Sign changes of the error term in the Piltz divisor problem 2023. Preprint available at arXiv:2302.08003.

2. Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three

3. Contributions à la théorie des séries de Dirichlet;Carlson F.;Ark. Mat. Astr. Fysik,1922

4. Contributions à la théorie des séries de Dirichlet;Carlson F.;Ark. Mat. Astr. Fysik,1926

5. VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION

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