Brüdern, Jörg; Wooley, Trevor D. On Waring’s problem: beyond Freĭman’s theorem. (English) Zbl 07808993 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12820, 25 p. (2024). MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12820, 25 p. (2024; Zbl 07808993) Full Text: DOI arXiv OA License
Brüdern, Jörg; Wooley, Trevor D. On Waring’s problem for larger powers. (English) Zbl 07771193 J. Reine Angew. Math. 805, 115-142 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11P05 11P55 11J71 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, J. Reine Angew. Math. 805, 115--142 (2023; Zbl 07771193) Full Text: DOI arXiv
Wooley, Trevor D. The paucity problem for certain symmetric Diophantine equations. (English) Zbl 07734851 Bull. Aust. Math. Soc. 108, No. 1, 29-39 (2023). MSC: 11D45 11D72 PDFBibTeX XMLCite \textit{T. D. Wooley}, Bull. Aust. Math. Soc. 108, No. 1, 29--39 (2023; Zbl 07734851) Full Text: DOI arXiv
Wooley, Trevor D. Subconvexity in the inhomogeneous cubic Vinogradov system. (English) Zbl 07731019 J. Lond. Math. Soc., II. Ser. 107, No. 2, 798-817 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P55 11L07 11D72 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Lond. Math. Soc., II. Ser. 107, No. 2, 798--817 (2023; Zbl 07731019) Full Text: DOI arXiv
Wooley, Trevor D. Paucity problems and some relatives of Vinogradov’s mean value theorem. (English) Zbl 07725807 Math. Proc. Camb. Philos. Soc. 175, No. 2, 327-343 (2023). MSC: 11D45 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Math. Proc. Camb. Philos. Soc. 175, No. 2, 327--343 (2023; Zbl 07725807) Full Text: DOI arXiv
Matomäki, Kaisa (ed.); Soundararajan, Kannan (ed.); Vaughan, Robert C. (ed.); Wooley, Trevor D. (ed.) Analytic number theory. Abstracts from the workshop held November 6–12, 2022. (English) Zbl 1521.00022 Oberwolfach Rep. 19, No. 4, 2895-2960 (2022). MSC: 00B05 00B25 11-06 11Bxx 11Dxx 11Jxx 11Pxx PDFBibTeX XMLCite \textit{K. Matomäki} (ed.) et al., Oberwolfach Rep. 19, No. 4, 2895--2960 (2022; Zbl 1521.00022) Full Text: DOI
Brüdern, Jörg; Wooley, Trevor D. On smooth Weyl sums over biquadrates and Waring’s problem. (English) Zbl 1504.11103 Acta Arith. 204, No. 1, 19-40 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11L15 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, Acta Arith. 204, No. 1, 19--40 (2022; Zbl 1504.11103) Full Text: DOI arXiv
Brandes, Julia; Wooley, Trevor D. Optimal mean value estimates beyond Vinogradov’s mean value theorem. (English) Zbl 1497.11191 Acta Arith. 200, No. 2, 149-182 (2021). MSC: 11L15 11D45 11L07 11P55 PDFBibTeX XMLCite \textit{J. Brandes} and \textit{T. D. Wooley}, Acta Arith. 200, No. 2, 149--182 (2021; Zbl 1497.11191) Full Text: DOI arXiv
Brüdern, Jörg (ed.); Matomäki, Kaisa (ed.); Vaughan, Robert C. (ed.); Wooley, Trevor D. (ed.) Analytic number theory. Abstracts from the workshop held November 3–9, 2019. (English) Zbl 1454.00048 Oberwolfach Rep. 16, No. 4, 3141-3205 (2019). MSC: 00B05 11-06 PDFBibTeX XMLCite \textit{J. Brüdern} (ed.) et al., Oberwolfach Rep. 16, No. 4, 3141--3205 (2019; Zbl 1454.00048) Full Text: DOI
Kumchev, Angel V.; Wooley, Trevor D. On the Waring-Goldbach problem for seventh and higher powers. (English) Zbl 1381.11099 Monatsh. Math. 183, No. 2, 303-310 (2017). Reviewer: Kaisa Matomäki (Turku) MSC: 11P32 11L20 11P05 11P55 PDFBibTeX XMLCite \textit{A. V. Kumchev} and \textit{T. D. Wooley}, Monatsh. Math. 183, No. 2, 303--310 (2017; Zbl 1381.11099) Full Text: DOI arXiv
Brüdern, Jörg; Wooley, Trevor D. Additive representation in short intervals. II: Sums of two like powers. (English) Zbl 1384.11095 Math. Z. 286, No. 1-2, 179-196 (2017). Reviewer: Mihály Szalay (Budapest) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, Math. Z. 286, No. 1--2, 179--196 (2017; Zbl 1384.11095) Full Text: DOI arXiv
Wooley, Trevor D. Mean value estimates for odd cubic Weyl sums. (English) Zbl 1377.11090 Bull. Lond. Math. Soc. 47, No. 6, 946-957 (2015). MSC: 11L15 11L07 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Bull. Lond. Math. Soc. 47, No. 6, 946--957 (2015; Zbl 1377.11090) Full Text: DOI arXiv
Wooley, Trevor D. Multigrade efficient congruencing and Vinogradov’s mean value theorem. (English) Zbl 1328.11087 Proc. Lond. Math. Soc. (3) 111, No. 3, 519-560 (2015). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 111, No. 3, 519--560 (2015; Zbl 1328.11087) Full Text: DOI arXiv
Wooley, Trevor D. Sums of three cubes. II. (English) Zbl 1408.11094 Acta Arith. 170, No. 1, 73-100 (2015). MSC: 11P05 11L15 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Acta Arith. 170, No. 1, 73--100 (2015; Zbl 1408.11094) Full Text: DOI arXiv
Wooley, Trevor D. Rational solutions of pairs of diagonal equations, one cubic and one quadratic. (English) Zbl 1333.11034 Proc. Lond. Math. Soc. (3) 110, No. 2, 325-356 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D72 11L15 11P55 11D25 11D09 PDFBibTeX XMLCite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 110, No. 2, 325--356 (2015; Zbl 1333.11034) Full Text: DOI arXiv
Friedlander, John B.; Wooley, Trevor D. On Waring’s problem: two squares and three biquadrates. (English) Zbl 1303.11111 Mathematika 60, No. 1, 153-165 (2014). Reviewer: L. N. Vaserstein (University Park) MSC: 11P05 PDFBibTeX XMLCite \textit{J. B. Friedlander} and \textit{T. D. Wooley}, Mathematika 60, No. 1, 153--165 (2014; Zbl 1303.11111) Full Text: DOI arXiv
Wooley, Trevor D. Vinogradov’s mean value theorem via efficient congruencing. II. (English) Zbl 1312.11066 Duke Math. J. 162, No. 4, 673-730 (2013). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Duke Math. J. 162, No. 4, 673--730 (2013; Zbl 1312.11066) Full Text: DOI arXiv Euclid
Spencer, Craig V.; Wooley, Trevor D. Diophantine inequalities and quasi-algebraically closed fields. (English) Zbl 1308.11043 Isr. J. Math. 191, Part B, 721-738 (2012). Reviewer: Scott T. Parsell (West Chester) MSC: 11D75 11J25 11T55 12F20 11E10 PDFBibTeX XMLCite \textit{C. V. Spencer} and \textit{T. D. Wooley}, Isr. J. Math. 191, Part B, 721--738 (2012; Zbl 1308.11043) Full Text: DOI arXiv
Wooley, Trevor D. Vinogradov’s mean value theorem via efficient congruencing. (English) Zbl 1267.11105 Ann. Math. (2) 175, No. 3, 1575-1627 (2012). Reviewer: Stephan Baier (Norwich) MSC: 11P05 11P55 11L07 PDFBibTeX XMLCite \textit{T. D. Wooley}, Ann. Math. (2) 175, No. 3, 1575--1627 (2012; Zbl 1267.11105) Full Text: DOI arXiv
Boklan, Kent D.; Wooley, Trevor D. On Weyl sums for smaller exponents. (English) Zbl 1328.11085 Funct. Approximatio, Comment. Math. 46, No. 1, 91-107 (2012). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P05 11P55 PDFBibTeX XMLCite \textit{K. D. Boklan} and \textit{T. D. Wooley}, Funct. Approximatio, Comment. Math. 46, No. 1, 91--107 (2012; Zbl 1328.11085) Full Text: DOI arXiv Euclid
Brüdern, Jörg; Wooley, Trevor D. On Waring’s problem: three cubes and a minicube. (English) Zbl 1238.11090 Nagoya Math. J. 200, 59-91 (2010). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, Nagoya Math. J. 200, 59--91 (2010; Zbl 1238.11090) Full Text: DOI
Kawada, Koichi; Wooley, Trevor D. Davenport’s method and slim exceptional sets: the asymptotic formulae in Waring’s problem. (English) Zbl 1238.11091 Mathematika 56, No. 2, 305-321 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{K. Kawada} and \textit{T. D. Wooley}, Mathematika 56, No. 2, 305--321 (2010; Zbl 1238.11091) Full Text: DOI arXiv
Wooley, Trevor D. A note on simultaneous congruences. II: Mordell revised. (English) Zbl 1231.11042 J. Aust. Math. Soc. 88, No. 2, 261-275 (2010). MSC: 11D79 11L15 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Aust. Math. Soc. 88, No. 2, 261--275 (2010; Zbl 1231.11042) Full Text: DOI
Brüdern, J.; Dietmann, R.; Liu, J. Y.; Wooley, T. D. A Birch-Goldbach theorem. (English) Zbl 1241.11039 Arch. Math. 94, No. 1, 53-58 (2010). Reviewer: Koichi Kawada (Morioka) MSC: 11D72 11P32 11E76 PDFBibTeX XMLCite \textit{J. Brüdern} et al., Arch. Math. 94, No. 1, 53--58 (2010; Zbl 1241.11039) Full Text: DOI
Wooley, Trevor D. A light-weight version of Waring’s problem. (English) Zbl 1117.11054 J. Aust. Math. Soc. 76, No. 3, 303-316 (2004). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Aust. Math. Soc. 76, No. 3, 303--316 (2004; Zbl 1117.11054) Full Text: DOI
Wooley, Trevor D. On Vu’s thin basis theorem in Waring’s problem. (English) Zbl 1047.11094 Duke Math. J. 120, No. 1, 1-34 (2003). Reviewer: George Greaves (Cardiff) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Duke Math. J. 120, No. 1, 1--34 (2003; Zbl 1047.11094) Full Text: DOI
Laporta, M. B. S.; Wooley, T. D. The representation of almost all numbers as sums of unlike powers. (English) Zbl 1048.11074 J. Théor. Nombres Bordx. 13, No. 1, 227-240 (2001). Reviewer: Koichi Kawada (Morioka) MSC: 11P05 11P55 11L15 PDFBibTeX XMLCite \textit{M. B. S. Laporta} and \textit{T. D. Wooley}, J. Théor. Nombres Bordx. 13, No. 1, 227--240 (2001; Zbl 1048.11074) Full Text: DOI Numdam EuDML EMIS
Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. Additive representation in thin sequences. I: Waring’s problem for cubes. (English) Zbl 1020.11062 Ann. Sci. Éc. Norm. Supér. (4) 34, No. 4, 471-501 (2001). Reviewer: George Greaves (Cardiff) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} et al., Ann. Sci. Éc. Norm. Supér. (4) 34, No. 4, 471--501 (2001; Zbl 1020.11062) Full Text: DOI Numdam EuDML
Brüdern, J.; Kawada, K.; Wooley, T. D. Additive representation in thin sequences. II: The binary Goldbach problem. (English) Zbl 1023.11053 Mathematika 47, No. 1-2, 117-125 (2000). Reviewer: George Greaves (Cardiff) MSC: 11P32 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} et al., Mathematika 47, No. 1--2, 117--125 (2000; Zbl 1023.11053) Full Text: DOI
Wooley, Trevor D. Sums of three cubes. (English) Zbl 1026.11075 Mathematika 47, No. 1-2, 53-61 (2000). Reviewer: George Greaves (Cardiff) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Mathematika 47, No. 1--2, 53--61 (2000; Zbl 1026.11075) Full Text: DOI
Wooley, Trevor D. On Weyl’s inequality, Hua’s lemma, and exponential sums over binary forms. (English) Zbl 1130.11312 Duke Math. J. 100, No. 3, 373-423 (1999). Reviewer: Koichi Kawada (Morioka) (MR1719742) MSC: 11D72 11E76 11J71 11L07 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Duke Math. J. 100, No. 3, 373--423 (1999; Zbl 1130.11312) Full Text: DOI Euclid
Vaughan, R. C.; Wooley, T. D. On a certain nonary cubic form and related equations. (English) Zbl 0847.11052 Duke Math. J. 80, No. 3, 669-735 (1995). Reviewer: G.Greaves (Cardiff) MSC: 11P05 PDFBibTeX XMLCite \textit{R. C. Vaughan} and \textit{T. D. Wooley}, Duke Math. J. 80, No. 3, 669--735 (1995; Zbl 0847.11052) Full Text: DOI
Wooley, Trevor D. Breaking classical convexity in Waring’s problem: sums of cubes and quasi-diagonal behaviour. (English) Zbl 0851.11055 Invent. Math. 122, No. 3, 421-451 (1995). Reviewer: George Greaves (Cardiff) MSC: 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Invent. Math. 122, No. 3, 421--451 (1995; Zbl 0851.11055) Full Text: DOI EuDML
Baker, R. C.; Brüdern, J.; Wooley, T. D. Cubic diophantine inequalities. (English) Zbl 0837.11016 Mathematika 42, No. 2, 264-277 (1995). Reviewer: R.C.Baker (Provo) MSC: 11D75 11L15 11L07 PDFBibTeX XMLCite \textit{R. C. Baker} et al., Mathematika 42, No. 2, 264--277 (1995; Zbl 0837.11016) Full Text: DOI
Vaughan, Robert C.; Wooley, Trevor D. Further improvements in Waring’s problem. (English) Zbl 0849.11075 Acta Math. 174, No. 2, 147-240 (1995). MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{R. C. Vaughan} and \textit{T. D. Wooley}, Acta Math. 174, No. 2, 147--240 (1995; Zbl 0849.11075) Full Text: DOI
Wooley, Trevor D. Quasi-diagonal behaviour in certain mean value theorems of additive number theory. (English) Zbl 0786.11053 J. Am. Math. Soc. 7, No. 1, 221-245 (1994). Reviewer: E.Krätzel (Jena) MSC: 11L15 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Am. Math. Soc. 7, No. 1, 221--245 (1994; Zbl 0786.11053) Full Text: DOI
Wooley, Trevor D. On Vinogradov’s mean value theorem. (English) Zbl 0769.11036 Mathematika 39, No. 2, 379-399 (1992). Reviewer: J.Brüdern (Göttingen) MSC: 11P05 11D72 PDFBibTeX XMLCite \textit{T. D. Wooley}, Mathematika 39, No. 2, 379--399 (1992; Zbl 0769.11036) Full Text: DOI