Interplay of multiplicative number theory and additive combinatorics

Project Information

MultNT

Grant agreement ID: 101058904

DOI

10.3030/101058904

Project terminated on 31 December 2024

EC signature date 4 July 2022

Start date 1 December 2022

End date 31 May 2025

Funded under

• Marie Skłodowska-Curie Actions (MSCA)

Total cost

No data

EU contribution

€ 215 534,40

Coordinated by

TURUN YLIOPISTO
Finland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Deliverables

Data Management Plan (1)

Data Management Plan

The Data Management Plan describes the data management life cyclefor all data sets that will be collected, processed or generated by the action. It is adocument describing what data will be collected, processed or generated andfollowing what methodology and standards, whether and how this data will beshared and/or made open, and how it will be curated and preserved.

Documents, reports (1)

Communication, Dissemination & Outreach Plan

The plan describes the planned measures to maximize the impact ofthe project, including the dissemination and exploitation measures that are planned,and the target group(s) addressed. Regarding communication measures and publicengagement strategy, the aim is to inform and reach out to society and show theactivities performed, and the use and the benefits the project will have for citizens.

Publications

Peer reviewed articles (10)

Products of primes in arithmetic progressions

Author(s): Kaisa Matomäki, Joni Teräväinen
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), 2024, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH
DOI: 10.1515/CRELLE-2023-0096

On the Liouville function at polynomial arguments

Author(s): Joni Teräväinen
Published in: American Journal of Mathematics, Issue 146, 2024, ISSN 1080-6377
Publisher: Project MUSE
DOI: 10.1353/AJM.2024.A932436

On the Local Fourier Uniformity Problem for Small Sets

Author(s): Adam Kanigowski, Mariusz Lemańczyk, Florian K Richter, Joni Teräväinen
Published in: International Mathematics Research Notices, Issue 2024, 2024, ISSN 1073-7928
Publisher: Oxford University Press (OUP)
DOI: 10.1093/IMRN/RNAE134

Higher uniformity of arithmetic functions in short intervals I. All intervals

Author(s): Kaisa Matomäki; Xuancheng Shao; Terence Tao; Joni Teräväinen
Published in: Forum of Mathematics Pi, 2023, ISSN 2050-5086
Publisher: Cambridge University Press
DOI: 10.48550/arxiv.2204.03754

Composite values of shifted exponentials

Author(s): Olli Järviniemi, Joni Teräväinen
Published in: Advances in Mathematics, Issue 429, 2024, ISSN 0001-8708
Publisher: Elsevier BV
DOI: 10.1016/J.AIM.2023.109187

Beyond the Erdős discrepancy problem in function fields

Author(s): Oleksiy Klurman; Alexander P. Mangerel; Joni Teräväinen
Published in: Mathematische Annalen, 2023, ISSN 1432-1807
Publisher: Springer
DOI: 10.48550/ARXIV.2202.10370

Revista Matematica Iberoamericana

Author(s): Järviniemi, Olli; Teräväinen, Joni
Published in: Revista Matematica Iberoamerica, 2023, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.48550/ARXIV.2303.05822

The Hardy–Littlewood–Chowla conjecture in the presence of a Siegel zero

Author(s): Terence Tao, Joni Teräväinen
Published in: Journal of the London Mathematical Society, Issue 106, 2023, ISSN 0024-6107
Publisher: Wiley
DOI: 10.1112/JLMS.12663

Multiplicative functions in short arithmetic progressions

Author(s): Oleksiy Klurman, Alexander P. Mangerel, Joni Teräväinen
Published in: Proceedings of the London Mathematical Society, Issue 127, 2023, ISSN 0024-6115
Publisher: Wiley
DOI: 10.1112/PLMS.12546

Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions

Author(s): Terence Tao, Joni Teräväinen
Published in: Journal of the European Mathematical Society, 2024, ISSN 1435-9855
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/JEMS/1404

Other (11)

Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1

Author(s): Browning, Tim; Sofos, Efthymios; Teräväinen, Joni
Published in: 2022
Publisher: arXiv
DOI: 10.48550/ARXIV.2212.10373

Higher uniformity of arithmetic functions in short intervals II. Almost all intervals

Author(s): Kaisa Matomäki; Maksym Radziwiłł; Xuancheng Shao; Terence Tao; Joni Teräväinen
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2411.05770

On a Bohr set analogue of Chowla's conjecture

Author(s): Teräväinen, Joni; Walker, Aled
Published in: 2023
Publisher: arXiv
DOI: 10.48550/ARXIV.2303.12574

Pointwise convergence of bilinear polynomial averages over the primes

Author(s): Ben Krause; Hamed Mousavi; Terence Tao; Joni Teräväinen
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2409.10510

Bounds on the exceptional set in the abc conjecture

Author(s): Tim Browning; Jared Lichtman; Joni Teräväinen
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2410.12234

Primes in arithmetic progressions and short intervals without L-functions

Author(s): Kaisa Matomäki; Jori Merikoski; Joni Teräväinen
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2401.17570

A note on zero density results implying large value estimates for Dirichlet polynomials

Author(s): Kaisa Matomäki; Joni Teräväinen
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2403.13157

Pointwise convergence of ergodic averages with Möbius weight

Author(s): Joni Teräväinen
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2401.03174

On Elliott's conjecture and applications

Author(s): Klurman, Oleksiy; Mangerel, Alexander P.; Teräväinen, Joni
Published in: 2023
Publisher: arXiv
DOI: 10.48550/ARXIV.2304.05344

On Artin's conjecture on average and short character sums

Author(s): Oleksiy Klurman; Igor E. Shparlinski; Joni Teräväinen
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2412.13355

Quantitative asymptotics for polynomial patterns in the primes

Author(s): Lilian Matthiesen; Joni Teräväinen; Mengdi Wang
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2405.12190