Exponential sums, translation invariance, and applications

Project Information

ESTIA

Grant agreement ID: 695223

DOI 10.3030/695223

Project terminated on 25 September 2019

EC signature date 20 April 2016

Start date 1 September 2016

End date 31 August 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 873 483,00

EU contribution € 1 873 483,00

Coordinated by

UNIVERSITY OF BRISTOL
United Kingdom

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 .

Publications

Peer reviewed articles (13)

VINOGRADOV SYSTEMS WITH A SLICE OFF

Author(s): Julia Brandes, Trevor D. Wooley
Published in: Mathematika, Issue 63/03, 2017, Page(s) 797-817, ISSN 0025-5793
Publisher: University College London, Department of Mathematics
DOI: 10.1112/S0025579317000134

Nested efficient congruencing and relatives of Vinogradov's mean value theorem

Author(s): Trevor D. Wooley
Published in: Proceedings of the London Mathematical Society, Issue 118/4, 2018, Page(s) 942-1016, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12204

SMOOTH VALUES OF POLYNOMIALS

Author(s): J. W. BOBER, D. FRETWELL, G. MARTIN, T. D. WOOLEY
Published in: Journal of the Australian Mathematical Society, 2019, Page(s) 1-17, ISSN 1446-7887
Publisher: Australian Mathematical Society
DOI: 10.1017/S1446788718000320

An instance where the major and minor arc integrals meet

Author(s): Jörg Brüdern, Trevor D. Wooley
Published in: Bulletin of the London Mathematical Society, Issue 51/6, 2019, Page(s) 1113-1128, ISSN 0024-6093
Publisher: Oxford University Press
DOI: 10.1112/blms.12291

Sums of Linear Transformations in Higher Dimensions

Author(s): Akshat Mudgal
Published in: The Quarterly Journal of Mathematics, Issue 70/3, 2019, Page(s) 965-984, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmath/haz006

Optimal mean value estimates beyond Vinogradov's mean value theorem

Author(s): Brandes, Julia; Wooley, Trevor
Published in: International Mathematics Research Notices (submitted January 2019), Issue 1, 2020, ISSN 9999-9994
Publisher: Oxford University Press

Discrete restriction for (x,x^3) and related topics

Author(s): K. Hughes and T. D. Wooley
Published in: Duke Math. Journal (submitted December 2019), 2020, ISSN 9999-9994
Publisher: Duke University Press

ON SQUARES OF SUMS OF THREE CUBES

Author(s): Javier Pliego
Published in: The Quarterly Journal of Mathematics, Issue 4/year, 2020, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmathj/haaa028

On Waring's problem in sums of three cubes

Author(s): Javier Pliego Garcia
Published in: International Mathematics Research Notices (submitted February 2020), 2020, ISSN 9999-9994
Publisher: Oxford University Press

On Waring's problem in sums of three cubes of smaller powers

Author(s): Javier Pliego Garcia
Published in: Journal of the London Mathematical Society (submitted January 2020), 2020, ISSN 9999-9994
Publisher: Wiley

Arithmetic combinatorics on Vinogradov systems

Author(s): Akshat Mudgal
Published in: Transactions of the American Mathematical Society (accepted, to appear), 2020, ISSN 0002-9947
Publisher: American Mathematical Society

On generating functions in additive number theory, II: Lower-order terms and applications to PDEs

Author(s): J. Brandes, S. T. Parsell, C. Poulias, G. Shakan and R. C. Vaughan
Published in: Submitted January 2020, 2020, ISSN 9999-9994
Publisher: Submitted

Uniform bounds in Waring's problem over some diagonal forms

Author(s): Javier Pliego Garcia
Published in: Mathematische Zeitschrift (submitted March 2020), 2020, ISSN 9999-9994
Publisher: Springer

Non-peer reviewed articles (2)

Difference sets in higher dimensions

Author(s): Akshat Mudgal
Published in: Mathematical Proceedings of the Cambridge Philosophical Society, 2020, ISSN 0305-0041
Publisher: Cambridge University Press

Sum-product estimates for diagonal matrices

Author(s): Akshat Mudgal
Published in: Bulletin of the Australian Mathematical Society, 2020, ISSN 0305-0041
Publisher: Cambridge University Press

Other (2)

Diophantine inequalities of fractional degree

Author(s): C. Poulias
Published in: Preprint, 2020, ISSN 9999-9994
Publisher: Preprint

Hua's lemma, bracket polynomials and Vinogradov's mean value theorem

Author(s): Trevor D. Wooley
Published in: Preprint under preparation, 2020, ISSN 9999-9994
Publisher: Preprint

Conference proceedings (1)

Condensation and densification for sets of large diameter

Author(s): Trevor D. Wooley
Published in: Combinatorial and Additive Number Theory 2020, 2020
Publisher: Springer