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Publications by Author
Trevor Wooley, FRS
| The Hasse principle for systems of diagonal cubic forms (2014) J. Bruedern and T. D. Wooley submitted , Pages: 1 - 13 URL provided by the author |
| Subconvexity for additive equations: pairs of undenary cubic forms (2014) J. Bruedern and T. D. Wooley J. Reine Angew. Math. vol: in press , Pages: 1 - 37 |
| On Waring's problem: two squares and three biquadrates (2014) John B. Friedlander and Trevor D. Wooley Mathematika vol: to appear , Pages: 1 - 13 URL provided by the author |
| On Vinogradov's mean value theorem: strongly diagonal behaviour via efficient congruencing (2014) K. Ford and T. D. Wooley submitted , Pages: 1 - 33 URL provided by the author |
| Exceptional sets for Diophantine inequalities (2014) S. T. Parsell and T. D. Wooley Int. Math. Res. Notices vol: in press , Pages: 1 - 56 URL provided by the author |
| Near-optimal mean value estimates for multidimensional Weyl sums (2014) S. T. Parsell, S. M. Prendiville and T. D. Wooley Geom. Funct. Anal. vol: to appear , Pages: 1 - 58 URL provided by the author |
| On Waring's problem: some consequences of Golubeva's method (2014) Trevor D. Wooley submitted , Pages: 1 - 19 |
| On Linnik's conjecture: sums of squares and microsquares (2014) Trevor D. Wooley submitted , Pages: 1 - 18 URL provided by the author |
| On Waring's problem: two squares, two cubes and two sixth powers (2014) Trevor D. Wooley Quarterly Journal of Mathematics vol: in press , Pages: 1 - 13 URL provided by the author |
| Annexe to the gallery: an addendum to "Additive representation in this sequences, VIII: Diophantine inequalities in review" (2013) J. Bruedern, K. Kawada and T. D. Wooley Number Theory: Arithmetic in Shangri-La, Proceedings of the 6th China-Japan Seminar, Shanghai, China 15-17 August 2011 Editors: S. Kanemitsu, et al. Page numbers: 77 - 82 Publisher: World Scientific, Singapore Address: Shanghai |
| Vinogradov's mean value theorem via efficient congruencing, II (2013) Trevor D. Wooley Duke Math. J. vol: 162 , Pages: 673 - 730 URL provided by the author |
| Diophantine inequalities and quasi-algebraically closed fields (2012) C. V. Spencer and T. D. Wooley Israel J. Math. vol: 191 , Pages: 721 - 738 URL provided by the author |
| On Weyl sums for smaller exponents (2012) Kent D. Boklan and Trevor D. Wooley Functiones et Approximatio Commentarii Mathematici vol: 46 , Pages: 91 - 107 URL provided by the author |
| Multiple recurrence and convergence along the primes (2012) T. D. Wooley and T. D. Ziegler Amer. J. Math. vol: 134 , Pages: 1705 - 1732 |
| Vinogradov's mean value theorem via efficient congruencing (2012) Trevor D. Wooley Annals of Mathematics vol: 175 , Issue: 3 , Pages: 1575 - 1627 URL provided by the author |
| The asymptotic formula in Waring's problem (2012) Trevor D. Wooley Int. Math. Res. Notices , Issue: 7 , Pages: 1485 - 1504 DOI: 10.1093/imrn/rnr074 |
| Asymptotic formulae for pairs of diagonal cubic equations (2011) J. Bruedern and T. D. Wooley Canadian Journal of Mathematics vol: 63 , Pages: 38 - 54 |
| Sparse variance for primes in arithmetic progression (2011) J. Bruedern and T. D. Wooley Quarterly Journal of Mathematics vol: 62 , Pages: 289 - 305 DOI: 10.1093/qmath/hap029 |
| Privacy amplification and non-malleable extractors via character sums (2011) Y. Dodis, X. Li, T. D. Wooley and D. Zuckerman Proceedings of the 52nd Annual IEEE Symposium on Foundations of Computer Science (FOCS 2011) , Pages: 668 - 677 URL provided by the author |
| The asymptotic formulae in Waring's problem for cubes (2010) J. Bruedern and T. D. Wooley J. Reine Angew. Math. vol: 647 , Pages: 1 - 23 URL provided by the author |
| On Waring's problem: three cubes and a minicube (2010) J. Bruedern and T. D. Wooley Nagoya Math. J. vol: 200 , Pages: 59 - 91 |
| A Birch-Goldbach theorem (2010) J. Bruedern, R. Dietmann, J. Y. Liu and T. D. Wooley Arch. Math. (Basel) vol: 94 , Pages: 53 - 58 |
| Relations between exceptional sets for additive problems (2010) K. Kawada and T. D. Wooley J. London Mathematical Society vol: 82 , Pages: 437 - 458 URL provided by the author |
| Davenport's method and slim exceptional sets: the asymptotic formulae in Waring's problem (2010) K. Kawada and T. D. Wooley Mathematika vol: 56 , Pages: 305 - 321 DOI: 10.1112/S0025579310001257 URL provided by the author |
| Rational points on complete intersections of higher degree, and mean values of Weyl sums (2010) P. Salberger and T. D. Wooley J. London Mathematical Society vol: 82 , Pages: 317 - 342 |
| A note on simultaneous congruences, II: Mordell revised (2010) Trevor D. Wooley J. Austral. Math. Soc. vol: 88 , Pages: 261 - 275 |
| Waring's problem in function fields (2010) Y.-R. Liu and T. D. Wooley J. Reine Angew. Math. vol: 638 , Pages: 1 - 67 URL provided by the author |
| Additive representation in thin sequences, VIII: Diophantine inequalities in review (2009) J. Bruedern, K. Kawada and T. D. Wooley Number Theory. Dreaming in Dreams, Proceedings of the 5th China-Japan Seminar, Higashi-Osaka, Japan, 27--31 August 2008 Editors: T. Aoki, S. Kanemitsu and J. Y. Liu Page numbers: 20 - 79 Publisher: World Scientific |
| Additive representation in thin sequences, VII: restricted moments of the number of representations (2008) Joerg Bruedern, Koichi Kawada and Trevor D. Wooley Tsukuba J. Math. vol: 32 , Issue: 2 , Pages: 383 - 406 |
| Artin's conjecture for septic and unidecic forms (2008) Trevor D. Wooley Acta Arithmetica vol: 133 , Issue: 1 , Pages: 25 - 35 URL provided by the author |
| The Hasse principle for pairs of diagonal cubic forms (2007) J. Bruedern and T. D. Wooley Annals of Mathematics vol: 166 , Issue: 3 , Pages: 865 - 895 URL provided by the author |
| The density of integral solutions for pairs of diagonal cubic equations (2007) J. Bruedern and T. D. Wooley Clay Math. Proceedings vol: 7 , Pages: 57 - 76 |
| The unrestricted variant of Waring's problem in function fields (2007) Y.-R. Liu and T. D. Wooley Functiones et Approximatio Commentarii Mathematici vol: 37 , Issue: 2 , Pages: 285 - 291 URL provided by the author |
| On sums of sixteen biquadrates (2005) J.-M. Deshouillers, K. Kawada and T. D. Wooley Mem. Soc. Math. Fr. (N.S.) vol: 100 , Pages: 1 - 120 |
| Asymptotic formulae for pairs of diagonal equations (2004) J. Bruedern and T. D. Wooley Math. Proc. Camb. Phil. Soc. vol: 137 , Issue: 1 , Pages: 227 - 235 URL provided by the author |
| Additive representation in short intervals, I: Waring's problem for cubes (2004) J. Bruedern and T. D. Wooley Compositio Mathematica vol: 140 , Pages: 1197 - 1220 |
| The quadratic Waring-Goldbach problem (2004) Jianya Liu, T. D. Wooley and Gang Yu Journal of Number Theory vol: 107 , Pages: 298 - 321 |
| A light-weight version of Waring's problem (2004) Trevor D. Wooley J. Australian Math. Soc. Series A vol: 76 , Pages: 303 - 316 |
| The paucity problem for certain pairs of diagonal equations (2003) J. Bruedern and T. D. Wooley Quarterly Journal of Mathematics vol: 54 , Pages: 41 - 48 |
| Additive representation in thin sequences, V: mixed problems of Waring's type (2003) J. Bruedern, K. Kawada and T. D. Wooley Mathematica Scandinavica vol: 92 , Pages: 181 - 209 |
| Pairs of cubic forms in many variables (2003) R. Dietmann and T. D. Wooley Acta Arithmetica vol: 110 , Pages: 125 - 140 |
| On Vu's thin basis theorem in Waring's problem (2003) Trevor D. Wooley Duke Mathematical Journal vol: 120 , Pages: 1 - 34 |
| Slim exceptional sets and the asymptotic formula in Waring's problem (2003) Trevor D. Wooley Mathematical Proceedings of the Cambridge Philosophical Society vol: 134 , Pages: 193 - 206 |
| On the difficulty of the local solubility problem for additive equations (2003) Trevor D. Wooley Acta Arithmetica vol: 107 , Pages: 127 - 156 |
| On diophantine inequalities: Freeman's asymptotic formulae (2003) Trevor D. Wooley Proceeding's of the session in analytic number theory and dophantine equations Editors: D. R. Heath-Brown and B. Z. Moroz Page numbers: 1 - 32 Publisher: Bonner Mathematische Schriften, Nr. 360, Article 30 Address: Bonn, January -- June, 2002 |
| Hua's lemma and simultaneous diagonal equations (2002) J. Bruedern and T. D. Wooley Bulletin of the London Mathematical Society vol: 34 , Pages: 279 - 283 |
| Additive representation in thin sequences, VI: representing primes, and related problems (2002) J. Bruedern, K. Kawada and T. D. Wooley Glasgow Math. J. vol: 44 , Pages: 419 - 434 |
| Slim exceptional sets for sums of fourth and fifth powers (2002) K. Kawada and Trevor D. Wooley Acta Arithmetica vol: 103 , Pages: 225 - 248 |
| Waring's problem: a survey (2002) R. C. Vaughan and T. D. Wooley Number Theory for the Millenium, Vol. III Editors: M. A. Bennett et al. Page numbers: 301 - 340 Publisher: A. K. Peters Address: Champaig-Urbana, IL Month: May, 2000 |
| On pairs of diagonal quintic forms (2002) S. T. Parsell and T. D. Wooley Compositio Mathematica vol: 131 , Pages: 61 - 96 |
| A quasi-paucity problem (2002) S. T. Parsell and T. D. Wooley Michigan Mathematical Journal vol: 50 , Pages: 461 - 469 |
| Slim exceptional sets for sums of cubes (2002) Trevor D. Wooley Canadian Journal of Mathematics vol: 54 , Pages: 417 - 448 |
| Diophantine methods for exponential sums, and exponential sums for diophantine problems (2002) Trevor D. Wooley Proceedings of the Integrnational Congress of Mathematicians, Vol. II Page numbers: 207 - 217 Publisher: Higher Education Press Address: Beijing Month: August, 2002 |
| Slim exceptional sets for sums of four squares (2002) Trevor D. Wooley Proceedings of the London Mathematical Society vol: 85 , Pages: 1 - 21 |
| Slim exceptional sets in Waring's problem: one square and five cubes (2002) Trevor D. Wooley Q. J. Math. vol: 53 , Pages: 111 - 118 |
| On Waring's problem for cubes and smooth Weyl sums (2001) J. Bruedern and T. D. Wooley Proceedings of the London Mathematical Society vol: 82 , Pages: 89 - 109 |
| On Waring's problem: three cubes and a sixth power (2001) J. Bruedern and T. D. Wooley Nagoya Math. J. vol: 163 , Pages: 13 - 53 |
| Additive representation in thin sequences, IV: lower bound methods (2001) J. Bruedern, K. Kawada and T. D. Wooley Q. J. Math. vol: 52 , Pages: 423 - 436 |
| Additive representation in thin sequences, I: Waring's problem for cubes (2001) J. Bruedern, K. Kawada and T. D. Wooley Ann. Sci. Ecole Norm. Sup. vol: 34 , Issue: 4 , Pages: 471 - 501 URL provided by the author |
| Additive representation in thin sequences, III: asymptotic formulae (2001) J. Bruedern, K. Kawada and T. D. Wooley Acta Arithmetica vol: 100 , Pages: 267 - 289 |
| On the Waring-Goldbach problem for fourth and fifth powers (2001) K. Kawada and T. D. Wooley Proceedings of the London Mathematical Society vol: 83 , Pages: 1 - 50 |
| The representation of almost all numbers as sums of unlike powers (2001) M. B. S. Laporta and T. D. Wooley J. Theor. Nombres Bordeaux vol: 13 , Pages: 227 - 240 |
| Hua's lemma and exponential sums over binary forms (2001) Trevor D. Wooley Rational points on algebraic varieties Editors: E. Peyre and Y. Tschinkel Page numbers: 405 - 446 Publisher: Birkhaeuser |
| Sums of two squares in short intervals (2000) A. Balog and T. D. Wooley Canadian Journal of Mathematics vol: 52 , Pages: 673 - 694 |
| On Waring's problem: two cubes and seven biquadrates (2000) J. Bruedern and T. D. Wooley Tsukuba J. Math. vol: 24 , Pages: 387 - 417 |
| Twins of k-free numbers and their exponential sum (2000) J. Bruedern, A. Perelli and T. D. Wooley Michigan Mathematical Journal vol: 47 , Pages: 173 - 190 |
| Additive representation in thin sequences, II: the binary Goldbach problem (2000) J. Bruedern, K. Kawada and T. D. Wooley Mathematika vol: 47 , Pages: 117 - 125 |
| Further improvements in Waring's problem, IV: higher powers (2000) R. C. Vaughan and T. D. Wooley Acta Arithmetica vol: 94 , Pages: 203 - 285 |
| Sums and differences of two cubic polynomials (2000) Trevor D. Wooley Monatshefte für Mathematik vol: 129 , Pages: 159 - 169 |
| Quasi-diagonal behaviour and smooth Weyl sums (2000) Trevor D. Wooley Monatshefte für Mathematik vol: 130 , Pages: 161 - 170 |
| Sums of three cubes (2000) Trevor D. Wooley Mathematika vol: 47 , Pages: 53 - 61 |
| Weyl's inequality and exponential sums over binary forms (2000) Trevor D. Wooley Functiones et Approximatio Commentarii Mathematici vol: 28 , Pages: 83 - 95 |
| On smooth gaps between prime numbers (1999) A. Balog, J. Bruedern and T. D. Wooley Mathematika vol: 46 , Pages: 57 - 75 |
| On Waring's problem: a square, four cubes and a biquadrate (1999) J. Bruedern and T. D. Wooley Mathematical Proceedings of the Cambridge Philosophical Society vol: 127 , Pages: 193 - 200 |
| Sums of fourth powers and related topics (1999) K. Kawada and T. D. Wooley Journal für die reine und angewandte Mathematik vol: 512 , Pages: 173 - 223 |
| Diophantine problems in many variables: the role of additive number theory (1999) Trevor D. Wooley Topics in Number Theory Editors: S. D. Ahlgren et al. Page numbers: 49 - 83 Publisher: Kluwer Academic Publishers |
| On Weyl's inequality, Hua's lemma and exponential sums over binary forms (1999) Trevor D. Wooley Duke Math. J. vol: 100 , Pages: 373 - 423 |
| The paucity problem for simultaneous quadratic and biquadratic equations (1999) W. Y. Tsui and T. D. Wooley Mathematical Proceedings of the Cambridge Philosophical Society vol: 126 , Pages: 209 - 221 |
| On strings of consecutive integers with no large prime factors (1998) A. Balog and T. D. Wooley J. Australian Math. Soc. Series A vol: 64 , Pages: 266 - 276 |
| The addition of binary cubic forms (1998) J. Bruedern and T. D. Wooley Philosophical Transactions of the Royal Society, Series A vol: 356 , Pages: 701 - 737 |
| On the exponential sum over k-free numbers (1998) J. Bruedern, A. Granville, A. Perelli, R. C. Vaughan and T. D. Wooley Philosophical Transactions of the Royal Society, Series A vol: 356 , Pages: 739 - 761 |
| Sums of fifth powers and related topics (1998) K. Kawada and T. D. Wooley Acta Arithmetica vol: 87 , Pages: 27 - 65 |
| The representation of integers by binary additive forms (1998) M. A. Bennett, N. P. Dummigan and T. D. Wooley Compositio Mathematica vol: 111 , Pages: 15 - 33 |
| On sums of two cubes: an Omega+ estimate for the error term (1998) M. Kuehleitner, W. G. Nowak, J. Schoissengeier and T. D. Wooley Acta Arithmetica vol: 85 , Pages: 179 - 195 |
| On the distribution of generating functions (1998) R. C. Vaughan and T. D. Wooley Bulletin of the London Mathematical Society vol: 30 , Pages: 113 - 122 |
| On the local solubility of Diophantine systems (1998) Trevor D. Wooley Compositio Mathematica vol: 111 , Pages: 149 - 165 |
| An explicit version of Birch's theorem (1998) Trevor D. Wooley Acta Arithmetica vol: 85 , Pages: 79 - 96 |
| On simultaneous additive equations, IV (1998) Trevor D. Wooley Mathematika vol: 45 , Pages: 319 - 335 |
| On the paucity of non-diagonal solutions in certain diagonal Diophantine systems (1997) C. M. Skinner and T. D. Wooley Q. J. Math. vol: 48 , Pages: 255 - 277 |
| A special case of Vinogradov's mean value theorem (1997) R. C. Vaughan and T. D. Wooley Acta Arithmetica vol: 79 , Pages: 193 - 204 |
| Linear spaces on cubic hypersurfaces, and pairs of cubic homogeneous equations (1997) Trevor D. Wooley Bulletin of the London Mathematical Society vol: 29 , Pages: 556 - 562 |
| On exponential sums over smooth numbers (1997) Trevor D. Wooley Journal für die reine und angewandte Mathematik vol: 488 , Pages: 79 - 140 |
| Forms in many variables (1997) Trevor D. Wooley Analytic Number Theory: Proceedings of the 39th Taniguchi International Symposium Editors: Y. Motohashi Page numbers: 361 - 376 Publisher: Cambridge University Press Address: Kyoto Month: May 1996 |
| An affine slicing approach to certain paucity problems (1996) Trevor D. Wooley Analytic Number Theory: Proceedings of a Conference in Honor of Heini Halberstam Editors: B. C. Berndt, H. G. Diamond and A. J. Hildebrand Page numbers: 803 - 815 Publisher: Birkhaeuser Address: Champaign-Urbana |
| A note on simultaneous congruences (1996) Trevor D. Wooley Journal of Number Theory vol: 58 , Pages: 288 - 297 |
| Some remarks on Vinogradov's mean value theorem and Tarry's problem (1996) Trevor D. Wooley Monatshefte für Mathematik vol: 122 , Pages: 265 - 273 |
| Sums of two kth powers (1995) C. M. Skinner and T. D. Wooley Journal für die reine und angewandte Mathematik vol: 462 , Pages: 57 - 68 |
| Some remarks on Gauss sums associated with kth powers (1995) H. L. Montgomery, R. C. Vaughan and T. D. Wooley Mathematical Proceedings of the Cambridge Philosophical Society vol: 118 , Pages: 21 - 33 |
| Cubic diophantine inequalities (1995) R. C. Baker, J. Bruedern and T. D. Wooley Mathematika vol: 42 , Pages: 264 - 277 |
| Further improvments in Waring's problem (1995) R. C. Vaughan and T. D. Wooley Acta Mathematica vol: 174 , Pages: 147 - 240 |
| On a certain nonary cubic form and related equations (1995) R. C. Vaughan and T. D. Wooley Duke Mathematical Journal vol: 80 , Pages: 669 - 735 |
| Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour (1995) Trevor D. Wooley Inventiones Mathematicae vol: 122 , Issue: 3 , Pages: 421 - 451 URL provided by the author |
| New estimates for smooth Weyl sums (1995) Trevor D. Wooley J. London Mathematical Society vol: 51 , Issue: 1 , Pages: 1 - 13 |
| Sums of two cubes (1995) Trevor D. Wooley Int. Math. Res. Notices , Pages: 181 - 185 |
| New estimates for Weyl sums (1995) Trevor D. Wooley Q. J. Math. vol: 46 , Issue: 181 , Pages: 119 - 127 |
| Further improvements in Waring's problem, II: sixth powers (1994) R. C. Vaughan and T. D. Wooley Duke Math. J. vol: 76 , Issue: 3 , Pages: 683 - 710 URL provided by the author |
| Quasi-diagonal behaviour in certain mean value theorems of additive number theory (1994) Trevor D. Wooley Journal of the American Mathematical Society vol: 7 , Issue: 1 , Pages: 221 - 245 URL provided by the author |
| Further improvements in Waring's problem, III: eighth powers (1993) R. C. Vaughan and T. D. Wooley PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES vol: 345 , Issue: 1676 , Pages: 385 - 396 |
| A note on symmetric diagonal equations (1993) Trevor D. Wooley Number Theory with an emphasis on the Markoff spectrum Editors: A. D. Pollington and W. Moran Page numbers: 317 - 321 Publisher: Dekker Address: Provo, UT, 1991 |
| On Vinogradov's mean value theorem, II (1993) Trevor D. Wooley Michigan Mathematical Journal vol: 40 , Issue: 1 , Pages: 681 - 686 URL provided by the author |
| Corrigendum: On Vinogradov's mean value theorem (1993) Trevor D. Wooley Mathematika vol: 40 , Pages: 152 - 152 |
| The application of a new mean value theorem to the fractional parts of polynomials (1993) Trevor D. Wooley Acta Arithmetica vol: 65 , Issue: 2 , Pages: 163 - 179 URL provided by the author |
| On Vinogradov's mean value theorem (1992) Trevor D. Wooley Mathematika vol: 39 , Pages: 379 - 399 |
| Large improvements in Waring's problem (1992) Trevor D. Wooley Annals of Mathematics vol: 135 , Issue: 1 , Pages: 131 - 164 URL provided by the author |
| On a problem related to one of Littlewood and Offord (1991) R. C. Vaughan and T. D. Wooley Q. J. Math. vol: 42 , Pages: 379 - 386 URL provided by the author |
| Waring's problem: some refinements (1991) R. C. Vaughan and T. D. Wooley Proceedings of the London Mathematical Society vol: 63 , Issue: 1 , Pages: 35 - 68 URL provided by the author |
| On simultaneous additive equations, II (1991) Trevor D. Wooley J. Reine Angew. Math. vol: 419 , Pages: 141 - 198 URL provided by the author |
| On simultaneous additive equations, I (1991) Trevor D. Wooley Proceedings of the London Mathematical Society vol: 63 , Issue: 1 , Pages: 1 - 34 URL provided by the author |
| On simultaneous additive equations, III (1990) Trevor D. Wooley Mathematika vol: 37 , Pages: 85 - 96 |