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On Waring's problem for larger powers.
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- Journal für die Reine und Angewandte Mathematik, 2023, v. 2023, n. 805, p. 115, doi. 10.1515/crelle-2023-0072
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- Article
The asymptotic formula in Waring’s problem: Higher order expansions.
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- Journal für die Reine und Angewandte Mathematik, 2018, v. 2018, n. 742, p. 17, doi. 10.1515/crelle-2015-0098
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- Article
Subconvexity for additive equations: Pairs of undenary cubic forms.
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- Journal für die Reine und Angewandte Mathematik, 2014, v. 2014, n. 696, p. 31, doi. 10.1515/crelle-2012-0115
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- Article
Waring's problem in function fields.
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- Journal für die Reine und Angewandte Mathematik, 2010, v. 2010, n. 638, p. 1, doi. 10.1515/CRELLE.2010.001
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- Article
Discrete Fourier restriction via Efficient Congruencing.
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- IMRN: International Mathematics Research Notices, 2017, v. 2017, n. 5, p. 1342, doi. 10.1093/imrn/rnw031
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- Article
Perturbations of Weyl Sums.
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- IMRN: International Mathematics Research Notices, 2016, v. 2016, n. 9, p. 2632, doi. 10.1093/imrn/rnv225
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- Article
On Linnik's Conjecture: Sums of Squares and Microsquares.
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- IMRN: International Mathematics Research Notices, 2014, v. 2014, n. 20, p. 5713, doi. 10.1093/imrn/rnt132
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- Article
Exceptional Sets for Diophantine Inequalities.
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- IMRN: International Mathematics Research Notices, 2014, v. 2014, n. 14, p. 3919, doi. 10.1093/imrn/rnt062
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- Article
The Asymptotic Formula in Waring’s Problem.
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- IMRN: International Mathematics Research Notices, 2012, v. 2012, n. 7, p. 1485, doi. 10.1093/imrn/rnr074
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- Article
Paucity problems and some relatives of Vinogradov's mean value theorem.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2023, v. 175, n. 2, p. 327, doi. 10.1017/S0305004123000166
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- Article
MULTIPLE RECURRENCE AND CONVERGENCE ALONG THE PRIMES.
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- American Journal of Mathematics, 2012, v. 134, n. 6, p. 1705, doi. 10.1353/ajm.2012.0048
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- Article
A NOTE ON SIMULTANEOUS CONGRUENCES, II: MORDELL REVISED.
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- Journal of the Australian Mathematical Society, 2010, v. 88, n. 2, p. 261, doi. 10.1017/S1446788710000121
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- Article
A light-weight version of Waring's problem.
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- Journal of the Australian Mathematical Society, 2004, v. 76, n. 3, p. 303, doi. 10.1017/S1446788700009873
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- Article
On strings of consecutive integers with no large prime factors.
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- Journal of the Australian Mathematical Society, 1998, v. 64, n. 2, p. 266, doi. 10.1017/S1446788700001750
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- Article
On the Waring-Goldbach problem for eighth and higher powers.
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- Journal of the London Mathematical Society, 2016, v. 93, n. 3, p. 811, doi. 10.1112/jlms/jdw013
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- Article
On Waring's problem: some consequences of Golubeva's method.
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- Journal of the London Mathematical Society, 2013, v. 88, n. 3, p. 699, doi. 10.1112/jlms/jdt047
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- Article
Rational points on complete intersections of higher degree, and mean values of Weyl sums.
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- Journal of the London Mathematical Society, 2010, v. 82, n. 2, p. 317, doi. 10.1112/jlms/jdq027
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- Article
Relations between exceptional sets for additive problems.
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- Journal of the London Mathematical Society, 2010, v. 82, n. 2, p. 437, doi. 10.1112/jlms/jdq036
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- Article
New Estimates for Smooth Weyl Sums.
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- Journal of the London Mathematical Society, 1995, v. 51, n. 1, p. 1
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- Article
Artin's conjecture and systems of diagonal equations.
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- Forum Mathematicum, 2015, v. 27, n. 4, p. 2259, doi. 10.1515/forum-2013-0109
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- Article
VINOGRADOV SYSTEMS WITH A SLICE OFF.
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- Mathematika, 2017, v. 63, n. 3, p. 797, doi. 10.1112/S0025579317000134
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- Article
APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM.
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- Mathematika, 2017, v. 63, n. 1, p. 292, doi. 10.1112/S0025579316000279
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- Article
ON WARING’S PROBLEM: TWO SQUARES AND THREE BIQUADRATES.
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- Mathematika, 2014, v. 60, n. 1, p. 153, doi. 10.1112/S0025579313000089
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- Article
DAVENPORT’S METHOD AND SLIM EXCEPTIONAL SETS: THE ASYMPTOTIC FORMULAE IN WARING’S PROBLEM.
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- Mathematika, 2010, v. 56, n. 2, p. 305, doi. 10.1112/S0025579310001257
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- Article
Sums of three cubes.
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- Mathematika, 2000, v. 47, n. 1/2, p. 53, doi. 10.1112/S0025579300015710
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- Article
On simultaneous additive equations, IV.
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- Mathematika, 1998, v. 45, n. 2, p. 319, doi. 10.1112/S0025579300014236
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- Article
Corrigendum: On Vinogradov's mean value theorem.
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- Mathematika, 1993, v. 40, n. 1, p. 152, doi. 10.1112/S0025579300013796
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- Article
On Vinogradov's mean value theorem.
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- Mathematika, 1992, v. 39, n. 2, p. 379, doi. 10.1112/S0025579300015102
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- Article
On simultaneous additive equations, III.
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- Mathematika, 1990, v. 37, n. 1, p. 85, doi. 10.1112/S0025579300012821
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- Article
On Waring's problem: Beyond Freĭman's theorem.
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- Journal of the London Mathematical Society, 2024, v. 109, n. 1, p. 1, doi. 10.1112/jlms.12820
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- Article
Subconvexity in the inhomogeneous cubic Vinogradov system.
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- Journal of the London Mathematical Society, 2023, v. 107, n. 2, p. 798, doi. 10.1112/jlms.12698
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- Article
Pairs of Diagonal Quartic Forms: The Asymptotic Formulae.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 18, p. 15928, doi. 10.1093/imrn/rnad021
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- Article
Correction to: The Hasse principle for systems of diagonal cubic forms.
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- Mathematische Annalen, 2024, v. 389, n. 1, p. 997, doi. 10.1007/s00208-023-02645-3
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- Article
Asymptotic formulae for pairs of diagonal equations.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2004, v. 137, n. 1, p. 227
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- Article
Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations.
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- Journal of the European Mathematical Society (EMS Publishing), 2018, v. 20, n. 10, p. 2333, doi. 10.4171/JEMS/813
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- Article
Cubic moments of Fourier coefficients and pairs of diagonal quartic forms.
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- Journal of the European Mathematical Society (EMS Publishing), 2015, v. 17, n. 11, p. 2887, doi. 10.4171/JEMS/574
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- Article