Exponential sums, translation invariance, and applications

VINOGRADOV SYSTEMS WITH A SLICE OFF

Autori: Julia Brandes, Trevor D. Wooley
Pubblicato in: Mathematika, Numero 63/03, 2017, Pagina/e 797-817, ISSN 0025-5793
Editore: University College London, Department of Mathematics
DOI: 10.1112/S0025579317000134

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

Autori: Trevor D. Wooley
Pubblicato in: Proceedings of the London Mathematical Society, Numero 118/4, 2018, Pagina/e 942-1016, ISSN 0024-6115
Editore: Oxford University Press
DOI: 10.1112/plms.12204

SMOOTH VALUES OF POLYNOMIALS

Autori: J. W. BOBER, D. FRETWELL, G. MARTIN, T. D. WOOLEY
Pubblicato in: Journal of the Australian Mathematical Society, 2019, Pagina/e 1-17, ISSN 1446-7887
Editore: Australian Mathematical Society
DOI: 10.1017/S1446788718000320

An instance where the major and minor arc integrals meet

Autori: Jörg Brüdern, Trevor D. Wooley
Pubblicato in: Bulletin of the London Mathematical Society, Numero 51/6, 2019, Pagina/e 1113-1128, ISSN 0024-6093
Editore: Oxford University Press
DOI: 10.1112/blms.12291

Sums of Linear Transformations in Higher Dimensions

Autori: Akshat Mudgal
Pubblicato in: The Quarterly Journal of Mathematics, Numero 70/3, 2019, Pagina/e 965-984, ISSN 0033-5606
Editore: Oxford University Press
DOI: 10.1093/qmath/haz006

Optimal mean value estimates beyond Vinogradov's mean value theorem

Autori: Brandes, Julia; Wooley, Trevor
Pubblicato in: International Mathematics Research Notices (submitted January 2019), Numero 1, 2020, ISSN 9999-9994
Editore: Oxford University Press

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

Autori: K. Hughes and T. D. Wooley
Pubblicato in: Duke Math. Journal (submitted December 2019), 2020, ISSN 9999-9994
Editore: Duke University Press

ON SQUARES OF SUMS OF THREE CUBES

Autori: Javier Pliego
Pubblicato in: The Quarterly Journal of Mathematics, Numero 4/year, 2020, ISSN 0033-5606
Editore: Oxford University Press
DOI: 10.1093/qmathj/haaa028

On Waring's problem in sums of three cubes

Autori: Javier Pliego Garcia
Pubblicato in: International Mathematics Research Notices (submitted February 2020), 2020, ISSN 9999-9994
Editore: Oxford University Press

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

Autori: Javier Pliego Garcia
Pubblicato in: Journal of the London Mathematical Society (submitted January 2020), 2020, ISSN 9999-9994
Editore: Wiley

Arithmetic combinatorics on Vinogradov systems

Autori: Akshat Mudgal
Pubblicato in: Transactions of the American Mathematical Society (accepted, to appear), 2020, ISSN 0002-9947
Editore: American Mathematical Society

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

Autori: J. Brandes, S. T. Parsell, C. Poulias, G. Shakan and R. C. Vaughan
Pubblicato in: Submitted January 2020, 2020, ISSN 9999-9994
Editore: Submitted

Uniform bounds in Waring's problem over some diagonal forms

Autori: Javier Pliego Garcia
Pubblicato in: Mathematische Zeitschrift (submitted March 2020), 2020, ISSN 9999-9994
Editore: Springer

Difference sets in higher dimensions

Autori: Akshat Mudgal
Pubblicato in: Mathematical Proceedings of the Cambridge Philosophical Society, 2020, ISSN 0305-0041
Editore: Cambridge University Press

Sum-product estimates for diagonal matrices

Autori: Akshat Mudgal
Pubblicato in: Bulletin of the Australian Mathematical Society, 2020, ISSN 0305-0041
Editore: Cambridge University Press

Diophantine inequalities of fractional degree

Autori: C. Poulias
Pubblicato in: Preprint, 2020, ISSN 9999-9994
Editore: Preprint

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

Autori: Trevor D. Wooley
Pubblicato in: Preprint under preparation, 2020, ISSN 9999-9994
Editore: Preprint

Condensation and densification for sets of large diameter

Autori: Trevor D. Wooley
Pubblicato in: Combinatorial and Additive Number Theory 2020, 2020
Editore: Springer

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