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
Wooley, Trevor D. Finite abelian groups via congruences. (English) Zbl 1514.20201 Am. Math. Mon. 130, No. 5, 482-484 (2023). MSC: 20K01 11A07 PDFBibTeX XMLCite \textit{T. D. Wooley}, Am. Math. Mon. 130, No. 5, 482--484 (2023; Zbl 1514.20201) Full Text: DOI arXiv
Wooley, Trevor D. Subconvexity in inhomogeneous Vinogradov systems. (English) Zbl 07673948 Q. J. Math. 74, No. 1, 389-418 (2023). Reviewer: Guangshi Lü (Jinan) MSC: 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Q. J. Math. 74, No. 1, 389--418 (2023; Zbl 07673948) Full Text: DOI arXiv
Wooley, Trevor D. Condensation and densification for sets of large diameter. arXiv:2305.19968 Preprint, arXiv:2305.19968 [math.NT] (2023). MSC: 11B30 11B75 11L15 BibTeX Cite \textit{T. D. Wooley}, ``Condensation and densification for sets of large diameter'', Preprint, arXiv:2305.19968 [math.NT] (2023) Full Text: arXiv OA License
Wooley, Trevor D. Rational lines on diagonal hypersurfaces and subconvexity via the circle method. arXiv:2305.05071 Preprint, arXiv:2305.05071 [math.NT] (2023). MSC: 11D45 11D72 11P55 BibTeX Cite \textit{T. D. Wooley}, ``Rational lines on diagonal hypersurfaces and subconvexity via the circle method'', Preprint, arXiv:2305.05071 [math.NT] (2023) Full Text: arXiv OA License
Wooley, Trevor D. Subconvexity and the Hilbert-Kamke Problem. arXiv:2201.02699 Preprint, arXiv:2201.02699 [math.NT] (2022). MSC: 11P55 11L07 11D72 BibTeX Cite \textit{T. D. Wooley}, ``Subconvexity and the Hilbert-Kamke Problem'', Preprint, arXiv:2201.02699 [math.NT] (2022) Full Text: arXiv OA License
Wooley, Trevor D. Nested efficient congruencing and relatives of Vinogradov’s mean value theorem. (English) Zbl 1456.11149 Proc. Lond. Math. Soc. (3) 118, No. 4, 942-1016 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 118, No. 4, 942--1016 (2019; Zbl 1456.11149) Full Text: DOI arXiv
Wooley, Trevor D. Discrete Fourier restriction via efficient congruencing. (English) Zbl 1405.11130 Int. Math. Res. Not. 2017, No. 5, 1342-1389 (2017). MSC: 11P05 11P55 11L15 PDFBibTeX XMLCite \textit{T. D. Wooley}, Int. Math. Res. Not. 2017, No. 5, 1342--1389 (2017; Zbl 1405.11130) Full Text: DOI Link
Wooley, Trevor D. A superpowered Euclidean prime generator. (English) Zbl 1391.11014 Am. Math. Mon. 124, No. 4, 351-352 (2017). MSC: 11A41 PDFBibTeX XMLCite \textit{T. D. Wooley}, Am. Math. Mon. 124, No. 4, 351--352 (2017; Zbl 1391.11014) Full Text: DOI arXiv Link
Wooley, Trevor D. Approximating the main conjecture in Vinogradov’s mean value theorem. (English) Zbl 1372.11086 Mathematika 63, No. 1, 292-350 (2017). Reviewer: Huaning Liu (Shaanxi) MSC: 11L15 11L07 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Mathematika 63, No. 1, 292--350 (2017; Zbl 1372.11086) Full Text: DOI arXiv
Wooley, Trevor D. Perturbations of Weyl sums. (English) Zbl 1404.11101 Int. Math. Res. Not. 2016, No. 9, 2632-2646 (2016). MSC: 11L15 PDFBibTeX XMLCite \textit{T. D. Wooley}, Int. Math. Res. Not. 2016, No. 9, 2632--2646 (2016; Zbl 1404.11101) Full Text: DOI arXiv
Wooley, Trevor D. On Waring’s problem for intermediate powers. (English) Zbl 1408.11095 Acta Arith. 176, No. 3, 241-247 (2016). MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Acta Arith. 176, No. 3, 241--247 (2016; Zbl 1408.11095) Full Text: DOI arXiv
Wooley, Trevor D. Solvable points on smooth projective varieties. (English) Zbl 1353.14031 Monatsh. Math. 180, No. 2, 391-403 (2016). Reviewer: David McKinnon (Waterloo) MSC: 14G05 11D72 11E76 PDFBibTeX XMLCite \textit{T. D. Wooley}, Monatsh. Math. 180, No. 2, 391--403 (2016; Zbl 1353.14031) Full Text: DOI arXiv
Wooley, Trevor D. The cubic case of the main conjecture in Vinogradov’s mean value theorem. (English) Zbl 1365.11097 Adv. Math. 294, 532-561 (2016). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Adv. Math. 294, 532--561 (2016; Zbl 1365.11097) 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. Corrigendum to: “The asymptotic formula in Waring’s problem”. (English) Zbl 1342.11083 Int. Math. Res. Not. 2015, No. 20, 10702 (2015). MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Int. Math. Res. Not. 2015, No. 20, 10702 (2015; Zbl 1342.11083) Full Text: DOI
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. Artin’s conjecture and systems of diagonal equations. (English) Zbl 1397.11074 Forum Math. 27, No. 4, 2259-2265 (2015). MSC: 11D88 11D72 11E76 PDFBibTeX XMLCite \textit{T. D. Wooley}, Forum Math. 27, No. 4, 2259--2265 (2015; Zbl 1397.11074) 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
Wooley, Trevor D. Discrete Fourier restriction via efficient congruencing: basic principles. arXiv:1508.05329 Preprint, arXiv:1508.05329 [math.CA] (2015). MSC: 42B05 11L07 42A16 BibTeX Cite \textit{T. D. Wooley}, ``Discrete Fourier restriction via efficient congruencing: basic principles'', Preprint, arXiv:1508.05329 [math.CA] (2015) Full Text: arXiv OA License
Wooley, Trevor D. Translation invariance, exponential sums, and Waring’s problem. (English) Zbl 1373.11061 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 505-529 (2014). MSC: 11L15 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 505--529 (2014; Zbl 1373.11061) Full Text: arXiv
Wooley, Trevor D. On Linnik’s conjecture: sums of squares and microsquares. (English) Zbl 1318.11127 Int. Math. Res. Not. 2014, No. 20, 5713-5736 (2014). Reviewer: Angel V. Kumchev (Towson) MSC: 11P32 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Int. Math. Res. Not. 2014, No. 20, 5713--5736 (2014; Zbl 1318.11127) Full Text: DOI arXiv
Wooley, Trevor D. On Waring’s problem: two squares, two cubes and two sixth powers. (English) Zbl 1309.11072 Q. J. Math. 65, No. 1, 305-317 (2014). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11D85 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Q. J. Math. 65, No. 1, 305--317 (2014; Zbl 1309.11072) Full Text: DOI arXiv
Wooley, Trevor D. On Waring’s problem: some consequences of Golubeva’s method. (English) Zbl 1286.11155 J. Lond. Math. Soc., II. Ser. 88, No. 3, 699-715 (2013). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11P05 11D85 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Lond. Math. Soc., II. Ser. 88, No. 3, 699--715 (2013; Zbl 1286.11155) 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
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
Wooley, Trevor D. The asymptotic formula in Waring’s problem. (English) Zbl 1267.11104 Int. Math. Res. Not. 2012, No. 7, 1485-1504 (2012); corrigendum ibid. 2015, No. 20, 10702 (2015). Reviewer: Stephan Baier (Norwich) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Int. Math. Res. Not. 2012, No. 7, 1485--1504 (2012; Zbl 1267.11104) Full Text: DOI Link
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
Wooley, Trevor D. Artin’s conjecture for septic and unidecic forms. (English) Zbl 1241.11041 Acta Arith. 133, No. 1, 25-35 (2008). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D88 11D41 11D72 PDFBibTeX XMLCite \textit{T. D. Wooley}, Acta Arith. 133, No. 1, 25--35 (2008; Zbl 1241.11041) 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 Diophantine inequalities: Freeman’s asymptotic formulae. (English) Zbl 1196.11055 Heath-Brown, D. R. (ed.) et al., Proceedings of the session in analytic number theory and Diophantine equations held in Bonn, Germany, January–June, 2002. Bonn: Univ. Bonn, Mathematisches Institut. Bonner Mathematische Schriften 360, 32 p. (2003). Reviewer: Scott T. Parsell (West Chester) MSC: 11D75 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Bonn. Math. Schr. 360, 32 p. (2003; Zbl 1196.11055)
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
Wooley, Trevor D. Slim exceptional sets and the asymptotic formula in Waring’s problem. (English) Zbl 1045.11068 Math. Proc. Camb. Philos. Soc. 134, No. 2, 193-206 (2003). Reviewer: George Greaves (Cardiff) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Math. Proc. Camb. Philos. Soc. 134, No. 2, 193--206 (2003; Zbl 1045.11068) Full Text: DOI
Wooley, Trevor D. The difficulty of the local solubility problem for additive equations. (English) Zbl 1036.11011 Acta Arith. 107, No. 2, 127-156 (2003). Reviewer: Koichi Kawada (Morioka) MSC: 11D79 PDFBibTeX XMLCite \textit{T. D. Wooley}, Acta Arith. 107, No. 2, 127--156 (2003; Zbl 1036.11011) Full Text: DOI
Wooley, Trevor D. Slim exceptional sets for sums of four squares. (English) Zbl 1039.11066 Proc. Lond. Math. Soc., III. Ser. 85, No. 1, 1-21 (2002). Reviewer: George Greaves (Cardiff) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 85, No. 1, 1--21 (2002; Zbl 1039.11066) Full Text: DOI
Wooley, Trevor D. Slim exceptional sets in Waring’s problem: One square and five cubes. (English) Zbl 1015.11049 Q. J. Math. 53, No. 1, 111-118 (2002). Reviewer: George Greaves (Cardiff) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Q. J. Math. 53, No. 1, 111--118 (2002; Zbl 1015.11049) Full Text: DOI
Wooley, Trevor D. Diophantine methods for exponential sums, and exponential sums for Diophantine problems. (English) Zbl 1022.11051 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 207-217 (2002). MSC: 11P55 11-02 11L07 11P05 11D72 14G05 PDFBibTeX XMLCite \textit{T. D. Wooley}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 207--217 (2002; Zbl 1022.11051) Full Text: arXiv
Wooley, Trevor D. Slim exceptional sets for sums of cubes. (English) Zbl 1007.11058 Can. J. Math. 54, No. 2, 417-448 (2002). Reviewer: Koichi Kawada (Morioka) MSC: 11P05 11P32 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Can. J. Math. 54, No. 2, 417--448 (2002; Zbl 1007.11058) Full Text: DOI
Wooley, Trevor D. Hua’s lemma and exponential sums over binary forms. (English) Zbl 1003.11048 Peyre, Emmanuel (ed.) et al., Rational points on algebraic varieties. Basel: Birkhäuser. Prog. Math. 199, 405-446 (2001). Reviewer: Roger Heath-Brown (Oxford) MSC: 11P55 11D72 11L07 11E76 PDFBibTeX XMLCite \textit{T. D. Wooley}, Prog. Math. 199, 405--446 (2001; Zbl 1003.11048)
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. Weyl’s inequality and exponential sums over binary forms. (English) Zbl 0993.11042 Funct. Approximatio, Comment. Math. 28, 83-95 (2000). Reviewer: Roger Heath-Brown (Oxford) MSC: 11L15 11L07 11E76 PDFBibTeX XMLCite \textit{T. D. Wooley}, Funct. Approximatio, Comment. Math. 28, 83--95 (2000; Zbl 0993.11042)
Wooley, Trevor D. Quasi-diagonal behaviour and smooth Weyl sums. (English) Zbl 0951.11027 Monatsh. Math. 130, No. 2, 161-170 (2000). Reviewer: Koichi Kawada (Morioka) MSC: 11L15 11P05 11P55 11L07 PDFBibTeX XMLCite \textit{T. D. Wooley}, Monatsh. Math. 130, No. 2, 161--170 (2000; Zbl 0951.11027) Full Text: DOI Link
Wooley, Trevor D. Sums and differences of two cubic polynomials. (English) Zbl 0940.11044 Monatsh. Math. 129, No. 2, 159-169 (2000). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Monatsh. Math. 129, No. 2, 159--169 (2000; Zbl 0940.11044) Full Text: DOI Link
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
Wooley, Trevor D. Diophantine problems in many variables: The role of additive number theory. (English) Zbl 0934.11016 Ahlgren, Scott D. (ed.) et al., Topics in number theory. In honor of B. Gordon and S. Chowla. Proceedings of the conference, Pennsylvania State University, University Park, PA, USA, July 31-August 3, 1997. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 467, 49-83 (1999). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11D72 11-02 11G25 11E76 PDFBibTeX XMLCite \textit{T. D. Wooley}, Math. Appl., Dordr. 467, 49--83 (1999; Zbl 0934.11016)
Wooley, Trevor D. On simultaneous additive equations. IV. (English) Zbl 0994.11015 Mathematika 45, No. 2, 319-335 (1998). Reviewer: Koichi Kawada (Morioka) MSC: 11D72 11L15 11P55 11D25 PDFBibTeX XMLCite \textit{T. D. Wooley}, Mathematika 45, No. 2, 319--335 (1998; Zbl 0994.11015) Full Text: DOI
Wooley, Trevor D. An explicit version of Birch’s Theorem. (English) Zbl 0915.11021 Acta Arith. 85, No. 1, 79-96 (1998). Reviewer: G.Greaves (Cardiff) MSC: 11D72 11E76 11G35 14G05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Acta Arith. 85, No. 1, 79--96 (1998; Zbl 0915.11021) Full Text: DOI EuDML
Wooley, Trevor D. On the local solubility of diophantine systems. (English) Zbl 0892.11011 Compos. Math. 111, No. 2, 149-165 (1998). Reviewer: M.-C.Liu (Hongkong) MSC: 11D72 14G20 11G25 11E95 11E76 PDFBibTeX XMLCite \textit{T. D. Wooley}, Compos. Math. 111, No. 2, 149--165 (1998; Zbl 0892.11011) Full Text: DOI
Wooley, Trevor D. Forms in many variables. (English) Zbl 0905.11022 Motohashi, Y. (ed.), Analytic number theory. Proceedings of the 39th Taniguchi international symposium on mathematics, Kyoto, Japan, May 13–17, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 247, 361-376 (1997). Reviewer: M.-C.Liu (Hongkong) MSC: 11E76 11D72 PDFBibTeX XMLCite \textit{T. D. Wooley}, Lond. Math. Soc. Lect. Note Ser. 247, 361--376 (1997; Zbl 0905.11022)
Wooley, Trevor D. Linear spaces on cubic hypersurfaces, and pairs of homogeneous cubic equations. (English) Zbl 0910.11013 Bull. Lond. Math. Soc. 29, No. 5, 556-562 (1997). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11D72 11E76 11D88 11D25 11G35 PDFBibTeX XMLCite \textit{T. D. Wooley}, Bull. Lond. Math. Soc. 29, No. 5, 556--562 (1997; Zbl 0910.11013) Full Text: DOI
Wooley, Trevor D. On exponential sums over smooth numbers. (English) Zbl 0880.11060 J. Reine Angew. Math. 488, 79-140 (1997). Reviewer: T.D.Wooley (Ann Arbor) MSC: 11L07 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Reine Angew. Math. 488, 79--140 (1997; Zbl 0880.11060) Full Text: DOI Crelle EuDML
Wooley, Trevor D. An affine slicing approach to certain paucity problems. (English) Zbl 0860.11016 Berndt, Bruce C. (ed.) et al., Analytic number theory. Vol. 2. Proceedings of a conference in honor of Heini Halberstam, May 16-20, 1995, Urbana, IL, USA. Boston, MA: Birkhäuser. Prog. Math. 139, 803-815 (1996). Reviewer: G.Greaves (Cardiff) MSC: 11D85 11D72 PDFBibTeX XMLCite \textit{T. D. Wooley}, Prog. Math. 139, 803--815 (1996; Zbl 0860.11016)
Wooley, Trevor D. A note on simultaneous congruences. (English) Zbl 0852.11017 J. Number Theory 58, No. 2, 288-297 (1996). Reviewer: M.-C.Liu (Hongkong) MSC: 11D79 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Number Theory 58, No. 2, 288--297 (1996; Zbl 0852.11017) Full Text: DOI
Wooley, Trevor D. Some remarks on Vinogradov’s mean value theorem and Tarry’s problem. (English) Zbl 0881.11043 Monatsh. Math. 122, No. 3, 265-273 (1996). Reviewer: Ming-Chit Liu (Hongkong) MSC: 11D72 11D45 11P05 11P55 11L07 PDFBibTeX XMLCite \textit{T. D. Wooley}, Monatsh. Math. 122, No. 3, 265--273 (1996; Zbl 0881.11043) Full Text: DOI EuDML
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
Wooley, Trevor D. New estimates for Weyl sums. (English) Zbl 0855.11043 Q. J. Math., Oxf. II. Ser. 46, No. 181, 119-127 (1995). Reviewer: K.-M.Tsang (Hong Kong) MSC: 11L15 11N36 PDFBibTeX XMLCite \textit{T. D. Wooley}, Q. J. Math., Oxf. II. Ser. 46, No. 181, 119--127 (1995; Zbl 0855.11043) Full Text: DOI
Wooley, Trevor D. Sums of two cubes. (English) Zbl 0821.11049 Int. Math. Res. Not. 1995, No. 4, 181-185 (1995). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11P05 11D25 14G05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Int. Math. Res. Not. 1995, No. 4, 181--185 (1995; Zbl 0821.11049) Full Text: DOI
Wooley, Trevor D. New estimates for smooth Weyl sums. (English) Zbl 0833.11041 J. Lond. Math. Soc., II. Ser. 51, No. 1, 1-13 (1995). Reviewer: K.-M.Tsang (Hong Kong) MSC: 11L07 11P05 11L15 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Lond. Math. Soc., II. Ser. 51, No. 1, 1--13 (1995; Zbl 0833.11041) Full Text: DOI Link
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. II. (English) Zbl 0805.11072 Mich. Math. J. 40, No. 1, 175-180 (1993). Reviewer: J.Brüdern (Göttingen) MSC: 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Mich. Math. J. 40, No. 1, 175--180 (1993; Zbl 0805.11072) Full Text: DOI
Wooley, Trevor D. The application of a new mean value theorem to the fractional parts of polynomials. (English) Zbl 0789.11037 Acta Arith. 65, No. 2, 163-179 (1993). Reviewer: M.-C.Liu (Hongkong) MSC: 11J71 11J54 11P05 11J25 PDFBibTeX XMLCite \textit{T. D. Wooley}, Acta Arith. 65, No. 2, 163--179 (1993; Zbl 0789.11037) Full Text: DOI EuDML
Wooley, Trevor D. A note on symmetric diagonal equations. (English) Zbl 0791.11014 Pollington, Andrew D. (ed.) et al., Number theory with an emphasis on the Markoff spectrum. Mainly the proceedings of the conference on the Markoff spectrum and diophantine approximation and analytic number theory at Brigham Young University in Provo, Utah, 1991. New York: Marcel Dekker, Inc.. Lect. Notes Pure Appl. Math. 147, 317-321 (1993). Reviewer: M.-C.Liu (Hongkong) MSC: 11D41 11P05 11D75 PDFBibTeX XMLCite \textit{T. D. Wooley}, Lect. Notes Pure Appl. Math. 147, 317--321 (1993; Zbl 0791.11014)
Wooley, Trevor D. Corrigendum: On Vinogradov’s mean value theorem. (English) Zbl 0782.11026 Mathematika 40, No. 1, 152 (1993). MSC: 11P05 11D72 PDFBibTeX XMLCite \textit{T. D. Wooley}, Mathematika 40, No. 1, 152 (1993; Zbl 0782.11026) Full Text: DOI
Wooley, Trevor D. Large improvements in Waring’s problem. (English) Zbl 0754.11026 Ann. Math. (2) 135, No. 1, 131-164 (1992). Reviewer: J.Brüdern (Göttingen) MSC: 11P05 11P55 11L15 PDFBibTeX XMLCite \textit{T. D. Wooley}, Ann. Math. (2) 135, No. 1, 131--164 (1992; Zbl 0754.11026) 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
Wooley, Trevor D. On simultaneous additive equations. II. (English) Zbl 0721.11011 J. Reine Angew. Math. 419, 141-198 (1991). Reviewer: T.D.Wooley (London) MSC: 11D25 11P55 11D72 PDFBibTeX XMLCite \textit{T. D. Wooley}, J. Reine Angew. Math. 419, 141--198 (1991; Zbl 0721.11011) Full Text: DOI Crelle EuDML
Wooley, Trevor D. On simultaneous additive equations. I. (English) Zbl 0691.10007 Proc. Lond. Math. Soc., III. Ser. 63, No. 1, 1-34 (1991). Reviewer: T.D.Wooley MSC: 11D88 11D72 11D41 PDFBibTeX XMLCite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 63, No. 1, 1--34 (1991; Zbl 0691.10007) Full Text: DOI
Wooley, Trevor D. On simultaneous additive equations. III. (English) Zbl 0691.10008 Mathematika 37, No. 1, 85-96 (1990). Reviewer: T.D.Wooley MSC: 11D88 11D72 11D41 PDFBibTeX XMLCite \textit{T. D. Wooley}, Mathematika 37, No. 1, 85--96 (1990; Zbl 0691.10008) Full Text: DOI