Edit Profile (opens in new tab) Wooley, Trevor D. Co-Author Distance Author ID: wooley.trevor-d Published as: Wooley, Trevor D.; Wooley, T. D. Homepage: https://www.math.purdue.edu/~twooley/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · IdRef Documents Indexed: 171 Publications since 1990, including 8 Additional arXiv Preprints 5 Contributions as Editor Biographic References: 1 Publication Co-Authors: 46 Co-Authors with 104 Joint Publications 1,117 Co-Co-Authors all top 5 Co-Authors 71 single-authored 48 Brüdern, Jörg 18 Vaughan, Robert C. 17 Kawada, Koichi 4 Balog, Antal 4 Parsell, Scott T. 3 Liu, Yu-Ru 3 Montgomery, Hugh Lowell 2 Bober, Jonathan W. 2 Brandes, Julia 2 Dietmann, Rainer 2 Dodis, Yevgeniy 2 Fretwell, Dan 2 Kumchev, Angel V. 2 Li, Xin 2 Liu, Jianya 2 Matomäki, Kaisa 2 Perelli, Alberto 2 Skinner, Christopher M. 2 Zuckerman, David 1 Baker, Roger C. 1 Bennett, Michael A. 1 Boklan, Kent D. 1 Deshouillers, Jean-Marc 1 Du, Lara 1 Dummigan, N. P. 1 Ford, Kevin B. 1 Friedlander, John Benjamin 1 Granville, Andrew James 1 Heap, Winston P. 1 Keating, Jonathan Peter 1 Kopp, Gene S. 1 Kühleitner, Manfred 1 Laporta, Maurizio B. S. 1 Lê, Thái Hoàng 1 Martin, Greg 1 Nowak, Werner Georg 1 Prendiville, Sean M. 1 Rudnick, Zeév 1 Salberger, Per 1 Schoißengeier, Johannes 1 Soundararajan, Kannan 1 Spencer, Craig V. 1 Tsui, Wing-Yan 1 Wei, Bin 1 Yu, Gang 1 Ziegler, Tamar all top 5 Serials 15 Acta Arithmetica 12 Mathematika 9 Journal für die Reine und Angewandte Mathematik 9 Proceedings of the London Mathematical Society. Third Series 9 IMRN. International Mathematics Research Notices 8 The Quarterly Journal of Mathematics 7 Journal of the London Mathematical Society. Second Series 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Bulletin of the London Mathematical Society 5 Duke Mathematical Journal 5 Monatshefte für Mathematik 4 Compositio Mathematica 4 Oberwolfach Reports 3 Canadian Journal of Mathematics 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Number Theory 3 Michigan Mathematical Journal 3 The Quarterly Journal of Mathematics. Oxford Second Series 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Annals of Mathematics. Second Series 3 Journal of the Australian Mathematical Society 2 American Mathematical Monthly 2 Acta Mathematica 2 Nagoya Mathematical Journal 2 Tsukuba Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 SIAM Journal on Computing 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Journal of the Australian Mathematical Society. Series A 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Philosophical Transactions of the Royal Society of London. Series A 1 Journal de Théorie des Nombres de Bordeaux 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Philosophical Transactions A. Royal Society of London all top 5 Fields 173 Number theory (11-XX) 10 Algebraic geometry (14-XX) 5 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Information and communication theory, circuits (94-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 143 Publications have been cited 1,212 times in 563 Documents Cited by ▼ Year ▼ The cubic case of the main conjecture in Vinogradov’s mean value theorem. Zbl 1365.11097 Wooley, Trevor D. 68 2016 Vinogradov’s mean value theorem via efficient congruencing. Zbl 1267.11105 Wooley, Trevor D. 65 2012 Nested efficient congruencing and relatives of Vinogradov’s mean value theorem. Zbl 1456.11149 Wooley, Trevor D. 57 2019 On the Waring-Goldbach problem for fourth and fifth powers. Zbl 1016.11046 Kawada, Koichi; Wooley, Trevor D. 45 2001 Large improvements in Waring’s problem. Zbl 0754.11026 Wooley, Trevor D. 42 1992 Waring’s problem: a survey. Zbl 1044.11090 Vaughan, R. C.; Wooley, T. D. 37 2002 Vinogradov’s mean value theorem via efficient congruencing. II. Zbl 1312.11066 Wooley, Trevor D. 35 2013 The asymptotic formula in Waring’s problem. Zbl 1267.11104 Wooley, Trevor D. 29 2012 Further improvements in Waring’s problem. Zbl 0849.11075 Vaughan, Robert C.; Wooley, Trevor D. 25 1995 Multiple recurrence and convergence along the primes. Zbl 1355.11005 Wooley, Trevor D.; Ziegler, Tamar D. 22 2012 On Vinogradov’s mean value theorem. Zbl 0769.11036 Wooley, Trevor D. 21 1992 Slim exceptional sets for sums of four squares. Zbl 1039.11066 Wooley, Trevor D. 20 2002 Multigrade efficient congruencing and Vinogradov’s mean value theorem. Zbl 1328.11087 Wooley, Trevor D. 19 2015 Breaking classical convexity in Waring’s problem: sums of cubes and quasi-diagonal behaviour. Zbl 0851.11055 Wooley, Trevor D. 19 1995 Near-optimal mean value estimates for multidimensional Weyl sums. Zbl 1320.11028 Parsell, Scott T.; Prendiville, Sean M.; Wooley, Trevor D. 18 2013 Translation invariance, exponential sums, and Waring’s problem. Zbl 1373.11061 Wooley, Trevor D. 17 2014 New estimates for smooth Weyl sums. Zbl 0833.11041 Wooley, Trevor D. 17 1995 Approximating the main conjecture in Vinogradov’s mean value theorem. Zbl 1372.11086 Wooley, Trevor D. 17 2017 Waring’s problem in function fields. Zbl 1221.11203 Liu, Yu-Ru; Wooley, Trevor D. 17 2010 A low-energy decomposition theorem. Zbl 1435.11020 Balog, Antal; Wooley, Trevor D. 16 2017 The quadratic Waring-Goldbach problem. Zbl 1056.11055 Liu, Jianya; Wooley, Trevor D.; Yu, Gang 16 2004 On a certain nonary cubic form and related equations. Zbl 0847.11052 Vaughan, R. C.; Wooley, T. D. 15 1995 Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092 Vaughan, R. C.; Wooley, T. D. 14 2000 Slim exceptional sets for sums of cubes. Zbl 1007.11058 Wooley, Trevor D. 13 2002 A note on simultaneous congruences. Zbl 0852.11017 Wooley, Trevor D. 13 1996 On Waring’s problem: Some refinements. Zbl 0736.11058 Vaughan, R. C.; Wooley, T. D. 13 1991 Rational solutions of pairs of diagonal equations, one cubic and one quadratic. Zbl 1333.11034 Wooley, Trevor D. 12 2015 On the Waring-Goldbach problem for seventh and higher powers. Zbl 1381.11099 Kumchev, Angel V.; Wooley, Trevor D. 12 2017 A special case of Vinogradov’s mean value theorem. Zbl 0887.11042 Vaughan, R. C.; Wooley, T. D. 12 1997 Sums of three cubes. Zbl 1026.11075 Wooley, Trevor D. 11 2000 On simultaneous additive equations. II. Zbl 0721.11011 Wooley, Trevor D. 11 1991 Mean value estimates for odd cubic Weyl sums. Zbl 1377.11090 Wooley, Trevor D. 10 2015 Perturbations of Weyl sums. Zbl 1404.11101 Wooley, Trevor D. 10 2016 On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. Zbl 1307.11102 Ford, Kevin; Wooley, Trevor D. 10 2014 The application of a new mean value theorem to the fractional parts of polynomials. Zbl 0789.11037 Wooley, Trevor D. 10 1993 Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032 Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D. 10 1995 Relations between exceptional sets for additive problems. Zbl 1279.11097 Kawada, Koichi; Wooley, Trevor D. 10 2010 Quasi-diagonal behaviour in certain mean value theorems of additive number theory. Zbl 0786.11053 Wooley, Trevor D. 9 1994 Sums of two kth powers. Zbl 0820.11059 Skinner, C. M.; Wooley, T. D. 9 1995 Sums of two cubes. Zbl 0821.11049 Wooley, Trevor D. 9 1995 The Hasse principle for pairs of diagonal cubic forms. Zbl 1171.11053 Brüdern, Jörg; Wooley, Trevor D. 9 2007 A Birch-Goldbach theorem. Zbl 1241.11039 Brüdern, J.; Dietmann, R.; Liu, J. Y.; Wooley, T. D. 9 2010 Slim exceptional sets and the asymptotic formula in Waring’s problem. Zbl 1045.11068 Wooley, Trevor D. 9 2003 Additive representation in thin sequences. II: The binary Goldbach problem. Zbl 1023.11053 Brüdern, J.; Kawada, K.; Wooley, T. D. 8 2000 On Waring’s problem for cubes and smooth Weyl sums. Zbl 1016.11044 Brüdern, Jörg; Wooley, Trevor D. 8 2001 A note on symmetric diagonal equations. Zbl 0791.11014 Wooley, Trevor D. 8 1993 On the local solubility of diophantine systems. Zbl 0892.11011 Wooley, Trevor D. 8 1998 On the exponential sum over \(k\)-free numbers. Zbl 0922.11071 Brüdern, J.; Granville, A.; Perelli, A.; Vaughan, R. C.; Wooley, T. D. 8 1998 On simultaneous additive equations. I. Zbl 0691.10007 Wooley, Trevor D. 8 1991 On the Waring-Goldbach problem for eighth and higher powers. Zbl 1358.11117 Kumchev, Angel V.; Wooley, Trevor D. 8 2016 Discrete Fourier restriction via efficient congruencing. Zbl 1405.11130 Wooley, Trevor D. 7 2017 Sums of three cubes. II. Zbl 1408.11094 Wooley, Trevor D. 7 2015 On the paucity of non-diagonal solutions in certain diagonal diophantine systems. Zbl 0885.11026 Skinner, C. M.; Wooley, T. D. 7 1997 On strings of consecutive integers with no large prime factors. Zbl 0942.11041 Balog, Antal; Wooley, Trevor D. 7 1998 Further improvements in Waring’s problem. II: Sixth powers. Zbl 0849.11076 Vaughan, R. C.; Wooley, T. D. 7 1994 On exponential sums over smooth numbers. Zbl 0880.11060 Wooley, Trevor D. 7 1997 On the distribution of generating functions. Zbl 0934.11037 Vaughan, R. C.; Wooley, T. D. 6 1998 On sums of powers of almost equal primes. Zbl 1338.11096 Wei, Bin; Wooley, Trevor D. 6 2015 Subconvexity for additive equations: pairs of undenary cubic forms. Zbl 1323.11019 Brüdern, Jörg; Wooley, Trevor D. 6 2014 Some remarks on Vinogradov’s mean value theorem and Tarry’s problem. Zbl 0881.11043 Wooley, Trevor D. 6 1996 The representation of integers by binary additive forms. Zbl 0889.11033 Bennett, M. A.; Dummigan, N. P.; Wooley, T. D. 6 1998 Linear spaces on cubic hypersurfaces, and pairs of homogeneous cubic equations. Zbl 0910.11013 Wooley, Trevor D. 6 1997 New estimates for Weyl sums. Zbl 0855.11043 Wooley, Trevor D. 6 1995 On Weyl sums for smaller exponents. Zbl 1328.11085 Boklan, Kent D.; Wooley, Trevor D. 6 2012 On simultaneous additive equations. III. Zbl 0691.10008 Wooley, Trevor D. 6 1990 Sparse variance for primes in arithmetic progression. Zbl 1255.11044 Brüdern, J.; Wooley, T. D. 6 2011 Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1217.11038 Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 6 2010 On Waring’s problem for intermediate powers. Zbl 1408.11095 Wooley, Trevor D. 5 2016 Slim exceptional sets in Waring’s problem: One square and five cubes. Zbl 1015.11049 Wooley, Trevor D. 5 2002 On Weyl’s inequality, Hua’s lemma, and exponential sums over binary forms. Zbl 1130.11312 Wooley, Trevor D. 5 1999 Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061 Brüdern, J.; Perelli, A.; Wooley, T. D. 5 2000 On Waring’s problem: Two cubes and seven biquadrates. Zbl 1003.11045 Brüdern, Jörg; Wooley, Trevor D. 5 2000 Privacy amplification and nonmalleable extractors via character sums. Zbl 1302.94043 Dodis, Yevgeniy; Li, Xin; Wooley, Trevor D.; Zuckerman, David 5 2014 An explicit version of Birch’s Theorem. Zbl 0915.11021 Wooley, Trevor D. 5 1998 Cubic diophantine inequalities. Zbl 0837.11016 Baker, R. C.; Brüdern, J.; Wooley, T. D. 5 1995 On Diophantine inequalities: Freeman’s asymptotic formulae. Zbl 1196.11055 Wooley, Trevor D. 5 2003 The unrestricted variant of Waring’s problem in function fields. Zbl 1226.11105 Liu, Yu-Ru; Wooley, Trevor D. 5 2007 Pairs of cubic forms in many variables. Zbl 1033.11015 Dietmann, Rainer; Wooley, Trevor D. 5 2003 Vinogradov systems with a slice off. Zbl 1390.11099 Brandes, Julia; Wooley, Trevor D. 4 2017 On simultaneous additive equations. IV. Zbl 0994.11015 Wooley, Trevor D. 4 1998 On Waring’s problem: two squares and three biquadrates. Zbl 1303.11111 Friedlander, John B.; Wooley, Trevor D. 4 2014 Further improvements in Waring’s problem. III: Eighth powers. Zbl 0849.11077 Vaughan, R. C.; Wooley, T. D. 4 1993 The addition of binary cubic forms. Zbl 0909.11043 Brüdern, Jörg; Wooley, Trevor D. 4 1998 An affine slicing approach to certain paucity problems. Zbl 0860.11016 Wooley, Trevor D. 4 1996 On Waring’s problem: some consequences of Golubeva’s method. Zbl 1286.11155 Wooley, Trevor D. 4 2013 The Hasse principle for systems of diagonal cubic forms. Zbl 1372.11048 Brüdern, Jörg; Wooley, Trevor D. 4 2016 Artin’s conjecture for septic and unidecic forms. Zbl 1241.11041 Wooley, Trevor D. 4 2008 Rational points on complete intersections of higher degree, and mean values of Weyl sums. Zbl 1279.11032 Salberger, Per; Wooley, Trevor D. 4 2010 The paucity problem for simultaneous quadratic and biquadratic equations. Zbl 0937.11013 Tsui, W. Y.; Wooley, T. D. 3 1999 Sums of two squares in short intervals. Zbl 0961.11030 Balog, Antal; Wooley, Trevor D. 3 2000 Privacy amplification and non-malleable extractors via character sums. Zbl 1292.94169 Dodis, Yevgeniy; Li, Xin; Wooley, Trevor D.; Zuckerman, David 3 2011 Exceptional sets for Diophantine inequalities. Zbl 1395.11068 Parsell, Scott T.; Wooley, Trevor D. 3 2014 Forms in many variables. Zbl 0905.11022 Wooley, Trevor D. 3 1997 On sums of sixteen biquadrates. Zbl 1080.11066 Deshouillers, Jean-Marc; Kawada, Koichi; Wooley, Trevor D. 3 2005 Asymptotic formulae for pairs of diagonal equations. Zbl 1118.11018 Brüdern, Jörg; Wooley, Trevor D. 3 2004 On a problem related to one of Littlewood and Offord. Zbl 0751.11021 Vaughan, R. C.; Wooley, T. D. 3 1991 A superpowered Euclidean prime generator. Zbl 1391.11014 Wooley, Trevor D. 2 2017 Diophantine problems in many variables: The role of additive number theory. Zbl 0934.11016 Wooley, Trevor D. 2 1999 Sums of fourth powers and related topics. Zbl 1005.11046 Kawada, Koichi; Wooley, Trevor D. 2 1999 Hua’s lemma and simultaneous diagonal equations. Zbl 1040.11017 Brüdern, Jörg; Wooley, Trevor D. 2 2002 A paucity problem associated with a shifted integer analogue of the divisor function. Zbl 1505.11125 Heap, Winston; Sahay, Anurag; Wooley, Trevor D. 2 2023 Paucity problems and some relatives of Vinogradov’s mean value theorem. Zbl 07725807 Wooley, Trevor D. 2 2023 Subconvexity in inhomogeneous Vinogradov systems. Zbl 07673948 Wooley, Trevor D. 1 2023 Discrete restriction for \((x,x^3)\) and related topics. Zbl 07711430 Hughes, Kevin; Wooley, Trevor D. 1 2022 Smooth values of polynomials. Zbl 1482.11126 Bober, J. W.; Fretwell, D.; Martin, G.; Wooley, T. D. 1 2020 Nested efficient congruencing and relatives of Vinogradov’s mean value theorem. Zbl 1456.11149 Wooley, Trevor D. 57 2019 An instance where the major and minor arc integrals meet. Zbl 1489.11053 Brüdern, Jörg; Wooley, Trevor D. 2 2019 Analytic number theory. Abstracts from the workshop held November 3–9, 2019. Zbl 1454.00048 2 2019 The asymptotic formula in Waring’s problem: higher order expansions. Zbl 1415.11123 Vaughan, Robert C.; Wooley, Trevor D. 2 2018 Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations. Zbl 1448.11073 Brüdern, Jörg; Wooley, Trevor D. 1 2018 Approximating the main conjecture in Vinogradov’s mean value theorem. Zbl 1372.11086 Wooley, Trevor D. 17 2017 A low-energy decomposition theorem. Zbl 1435.11020 Balog, Antal; Wooley, Trevor D. 16 2017 On the Waring-Goldbach problem for seventh and higher powers. Zbl 1381.11099 Kumchev, Angel V.; Wooley, Trevor D. 12 2017 Discrete Fourier restriction via efficient congruencing. Zbl 1405.11130 Wooley, Trevor D. 7 2017 Vinogradov systems with a slice off. Zbl 1390.11099 Brandes, Julia; Wooley, Trevor D. 4 2017 A superpowered Euclidean prime generator. Zbl 1391.11014 Wooley, Trevor D. 2 2017 Additive representation in short intervals. II: Sums of two like powers. Zbl 1384.11095 Brüdern, Jörg; Wooley, Trevor D. 2 2017 The cubic case of the main conjecture in Vinogradov’s mean value theorem. Zbl 1365.11097 Wooley, Trevor D. 68 2016 Perturbations of Weyl sums. Zbl 1404.11101 Wooley, Trevor D. 10 2016 On the Waring-Goldbach problem for eighth and higher powers. Zbl 1358.11117 Kumchev, Angel V.; Wooley, Trevor D. 8 2016 On Waring’s problem for intermediate powers. Zbl 1408.11095 Wooley, Trevor D. 5 2016 The Hasse principle for systems of diagonal cubic forms. Zbl 1372.11048 Brüdern, Jörg; Wooley, Trevor D. 4 2016 Correlation estimates for sums of three cubes. Zbl 1403.11029 Brüdern, Jörg; Wooley, Trevor D. 1 2016 Solvable points on smooth projective varieties. Zbl 1353.14031 Wooley, Trevor D. 1 2016 Multigrade efficient congruencing and Vinogradov’s mean value theorem. Zbl 1328.11087 Wooley, Trevor D. 19 2015 Rational solutions of pairs of diagonal equations, one cubic and one quadratic. Zbl 1333.11034 Wooley, Trevor D. 12 2015 Mean value estimates for odd cubic Weyl sums. Zbl 1377.11090 Wooley, Trevor D. 10 2015 Sums of three cubes. II. Zbl 1408.11094 Wooley, Trevor D. 7 2015 On sums of powers of almost equal primes. Zbl 1338.11096 Wei, Bin; Wooley, Trevor D. 6 2015 Artin’s conjecture and systems of diagonal equations. Zbl 1397.11074 Wooley, Trevor D. 2 2015 Cubic moments of Fourier coefficients and pairs of diagonal quartic forms. Zbl 1395.11067 Brüdern, Jörg; Wooley, Trevor D. 1 2015 Number fields and function fields: coalescences, contrasts and emerging applications. Zbl 1353.11098 Keating, J. P.; Rudnick, Z.; Wooley, T. D. 1 2015 Translation invariance, exponential sums, and Waring’s problem. Zbl 1373.11061 Wooley, Trevor D. 17 2014 On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. Zbl 1307.11102 Ford, Kevin; Wooley, Trevor D. 10 2014 Subconvexity for additive equations: pairs of undenary cubic forms. Zbl 1323.11019 Brüdern, Jörg; Wooley, Trevor D. 6 2014 Privacy amplification and nonmalleable extractors via character sums. Zbl 1302.94043 Dodis, Yevgeniy; Li, Xin; Wooley, Trevor D.; Zuckerman, David 5 2014 On Waring’s problem: two squares and three biquadrates. Zbl 1303.11111 Friedlander, John B.; Wooley, Trevor D. 4 2014 Exceptional sets for Diophantine inequalities. Zbl 1395.11068 Parsell, Scott T.; Wooley, Trevor D. 3 2014 On Waring’s problem: two squares, two cubes and two sixth powers. Zbl 1309.11072 Wooley, Trevor D. 2 2014 On Linnik’s conjecture: sums of squares and microsquares. Zbl 1318.11127 Wooley, Trevor D. 1 2014 Vinogradov’s mean value theorem via efficient congruencing. II. Zbl 1312.11066 Wooley, Trevor D. 35 2013 Near-optimal mean value estimates for multidimensional Weyl sums. Zbl 1320.11028 Parsell, Scott T.; Prendiville, Sean M.; Wooley, Trevor D. 18 2013 On Waring’s problem: some consequences of Golubeva’s method. Zbl 1286.11155 Wooley, Trevor D. 4 2013 Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1325.11033 Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2013 Annexe to the gallery: an addendum to “Additive representation in thin sequences. VIII: Diophantine inequalities in review”. Zbl 1362.11047 Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2013 Vinogradov’s mean value theorem via efficient congruencing. Zbl 1267.11105 Wooley, Trevor D. 65 2012 The asymptotic formula in Waring’s problem. Zbl 1267.11104 Wooley, Trevor D. 29 2012 Multiple recurrence and convergence along the primes. Zbl 1355.11005 Wooley, Trevor D.; Ziegler, Tamar D. 22 2012 On Weyl sums for smaller exponents. Zbl 1328.11085 Boklan, Kent D.; Wooley, Trevor D. 6 2012 Diophantine inequalities and quasi-algebraically closed fields. Zbl 1308.11043 Spencer, Craig V.; Wooley, Trevor D. 1 2012 Sparse variance for primes in arithmetic progression. Zbl 1255.11044 Brüdern, J.; Wooley, T. D. 6 2011 Privacy amplification and non-malleable extractors via character sums. Zbl 1292.94169 Dodis, Yevgeniy; Li, Xin; Wooley, Trevor D.; Zuckerman, David 3 2011 Asymptotic formulae for pairs of diagonal cubic equations. Zbl 1238.11046 Brüdern, Jörg; Wooley, Trevor D. 2 2011 Waring’s problem in function fields. Zbl 1221.11203 Liu, Yu-Ru; Wooley, Trevor D. 17 2010 Relations between exceptional sets for additive problems. Zbl 1279.11097 Kawada, Koichi; Wooley, Trevor D. 10 2010 A Birch-Goldbach theorem. Zbl 1241.11039 Brüdern, J.; Dietmann, R.; Liu, J. Y.; Wooley, T. D. 9 2010 Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1217.11038 Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 6 2010 Rational points on complete intersections of higher degree, and mean values of Weyl sums. Zbl 1279.11032 Salberger, Per; Wooley, Trevor D. 4 2010 A note on simultaneous congruences. II: Mordell revised. Zbl 1231.11042 Wooley, Trevor D. 2 2010 Davenport’s method and slim exceptional sets: the asymptotic formulae in Waring’s problem. Zbl 1238.11091 Kawada, Koichi; Wooley, Trevor D. 2 2010 The asymptotic formulae in Waring’s problem for cubes. Zbl 1220.11126 Brüdern, J.; Wooley, T. D. 1 2010 Artin’s conjecture for septic and unidecic forms. Zbl 1241.11041 Wooley, Trevor D. 4 2008 Additive representation in thin sequences. VII: Restricted moments of the number of representations. Zbl 1183.11059 Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D. 1 2008 The Hasse principle for pairs of diagonal cubic forms. Zbl 1171.11053 Brüdern, Jörg; Wooley, Trevor D. 9 2007 The unrestricted variant of Waring’s problem in function fields. Zbl 1226.11105 Liu, Yu-Ru; Wooley, Trevor D. 5 2007 The density of integral solutions for pairs of diagonal cubic equations. Zbl 1230.11042 Brüdern, Jörg; Wooley, Trevor D. 1 2007 On sums of sixteen biquadrates. Zbl 1080.11066 Deshouillers, Jean-Marc; Kawada, Koichi; Wooley, Trevor D. 3 2005 The quadratic Waring-Goldbach problem. Zbl 1056.11055 Liu, Jianya; Wooley, Trevor D.; Yu, Gang 16 2004 Asymptotic formulae for pairs of diagonal equations. Zbl 1118.11018 Brüdern, Jörg; Wooley, Trevor D. 3 2004 A light-weight version of Waring’s problem. Zbl 1117.11054 Wooley, Trevor D. 1 2004 Additive representation in short intervals. I: Waring’s problem for cubes. Zbl 1148.11313 Brüdern, J.; Wooley, T. D. 1 2004 Slim exceptional sets and the asymptotic formula in Waring’s problem. Zbl 1045.11068 Wooley, Trevor D. 9 2003 On Diophantine inequalities: Freeman’s asymptotic formulae. Zbl 1196.11055 Wooley, Trevor D. 5 2003 Pairs of cubic forms in many variables. Zbl 1033.11015 Dietmann, Rainer; Wooley, Trevor D. 5 2003 Additive representation in thin sequences. V: Mixed problems of Waring’s type. Zbl 1023.11052 Brüdern, J.; Kawada, K.; Wooley, T. D. 2 2003 On Vu’s thin basis theorem in Waring’s problem. Zbl 1047.11094 Wooley, Trevor D. 2 2003 The paucity problem for certain pairs of diagonal equations. Zbl 1048.11024 Brüdern, J.; Wooley, T. D. 1 2003 Waring’s problem: a survey. Zbl 1044.11090 Vaughan, R. C.; Wooley, T. D. 37 2002 Slim exceptional sets for sums of four squares. Zbl 1039.11066 Wooley, Trevor D. 20 2002 Slim exceptional sets for sums of cubes. Zbl 1007.11058 Wooley, Trevor D. 13 2002 Slim exceptional sets in Waring’s problem: One square and five cubes. Zbl 1015.11049 Wooley, Trevor D. 5 2002 Hua’s lemma and simultaneous diagonal equations. Zbl 1040.11017 Brüdern, Jörg; Wooley, Trevor D. 2 2002 A quasi-paucity problem. Zbl 1027.11024 Parsell, Scott T.; Wooley, Trevor D. 2 2002 Slim exceptional sets for sums of fourth and fifth powers. Zbl 1004.11053 Kawada, Koichi; Wooley, Trevor D. 1 2002 On the Waring-Goldbach problem for fourth and fifth powers. Zbl 1016.11046 Kawada, Koichi; Wooley, Trevor D. 45 2001 On Waring’s problem for cubes and smooth Weyl sums. Zbl 1016.11044 Brüdern, Jörg; Wooley, Trevor D. 8 2001 On Waring’s problem: Three cubes and a sixth power. Zbl 0989.11047 Brüdern, Jörg; Wooley, Trevor D. 2 2001 Additive representation in thin sequences. IV: Lower bound methods. Zbl 1037.11062 Brüdern, J.; Kawada, K.; Wooley, T. D. 1 2001 Hua’s lemma and exponential sums over binary forms. Zbl 1003.11048 Wooley, Trevor D. 1 2001 Additive representation in thin sequences. III: Asymptotic formulae. Zbl 0995.11055 Brüdern, J.; Kawada, K.; Wooley, T. D. 1 2001 Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092 Vaughan, R. C.; Wooley, T. D. 14 2000 Sums of three cubes. Zbl 1026.11075 Wooley, Trevor D. 11 2000 Additive representation in thin sequences. II: The binary Goldbach problem. Zbl 1023.11053 Brüdern, J.; Kawada, K.; Wooley, T. D. 8 2000 Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061 Brüdern, J.; Perelli, A.; Wooley, T. D. 5 2000 On Waring’s problem: Two cubes and seven biquadrates. Zbl 1003.11045 Brüdern, Jörg; Wooley, Trevor D. 5 2000 Sums of two squares in short intervals. Zbl 0961.11030 Balog, Antal; Wooley, Trevor D. 3 2000 Sums and differences of two cubic polynomials. Zbl 0940.11044 Wooley, Trevor D. 2 2000 Quasi-diagonal behaviour and smooth Weyl sums. Zbl 0951.11027 Wooley, Trevor D. 1 2000 Weyl’s inequality and exponential sums over binary forms. Zbl 0993.11042 Wooley, Trevor D. 1 2000 On Weyl’s inequality, Hua’s lemma, and exponential sums over binary forms. Zbl 1130.11312 Wooley, Trevor D. 5 1999 ...and 43 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 499 Authors 59 Wooley, Trevor D. 29 Brüdern, Jörg 26 Shparlinski, Igor E. 11 Bourgain, Jean 11 Zhao, Lilu 10 Brandes, Julia 10 Kumchev, Angel V. 10 Liu, Zhixin 10 Lu, Guangshi 9 Parsell, Scott T. 8 Chen, Changhao 8 Cochrane, Todd 8 Demeter, Ciprian 8 Liu, Jianya 8 Shkredov, Il’ya Dmitrievich 8 Spencer, Craig V. 8 Vaughan, Robert C. 7 Guo, Shaoming 7 Hughes, Kevin 7 Li, Zane Kun 7 Robert, Olivier 6 Baker, Roger C. 6 Browning, Timothy Daniel 6 Cook, Brian 6 Dietmann, Rainer 6 Dubickas, Artūras 6 Frantzikinakis, Nikos 6 Heath-Brown, Roger 6 Li, Jinjiang 6 Zhang, Min 5 Byeon, Dongho 5 Cai, Yingchun 5 Chow, Sam 5 Harman, Glyn 5 Ren, Xiumin 5 Yung, Polam 4 Anderson, Theresa C. 4 Car, Mireille 4 Chattopadhyay, Eshan 4 Garaev, Moubariz Z. 4 Güloğlu, Ahmet Muhtar 4 Halupczok, Karin 4 Kawada, Koichi 4 Liu, Yu-Ru 4 Magyar, Akos 4 Mirek, Mariusz 4 Munsch, Marc 4 Prendiville, Sean M. 4 Roche-Newton, Oliver 4 Rudnev, Misha 4 Tao, Terence 4 Zorin-Kranich, Pavel 3 Akbal, Yıldırım 3 Banks, William David 3 Biggs, Kirsti D. 3 Blomer, Valentin 3 Boyarinov, R. N. 3 Chang, Mei-Chu 3 Cilleruelo, Javier 3 de la Bretèche, Régis 3 Eisner, Tanja 3 Freeman, D. Eric 3 Ge, Wenxu 3 Guth, Lawrence David 3 Harvey, M. P. 3 Karabulut, Yeşim Demiroğlu 3 Kerr, Bryce 3 Knapp, Michael P. 3 Le, Anh Ngoc 3 Lê, Thái Hoàng 3 Li, Hongze 3 Liu, Yuhui 3 Maynard, James 3 Meng, Zaizhao 3 Mérai, László 3 Mudgal, Akshat 3 Ostergaard, Misty 3 Pierce, Lillian B. 3 Pinner, Christopher G. 3 Pliego, Javier 3 Rydin Myerson, Simon L. 3 Shakan, George 3 Shallit, Jeffrey Outlaw 3 Soundararajan, Kannan 3 Stein, Elias Menachem 3 Stewart, Cameron L. 3 Teräväinen, Joni 3 Tsang, Kai-Man 3 Xue, Boqing 3 Yamagishi, Shuntaro 3 Zhao, Xiaomei 3 Zhu, Lie 2 Aggarwal, Divesh 2 Akarsu, Emek Demirci 2 Bergelson, Vitaly 2 Drappeau, Sary 2 Elsholtz, Christian 2 Feng, Zhenzhen 2 Fiorilli, Daniel 2 Ford, Kevin B. ...and 399 more Authors all top 5 Cited in 132 Serials 40 Mathematika 39 Journal of Number Theory 20 Acta Arithmetica 17 The Ramanujan Journal 16 International Journal of Number Theory 14 Monatshefte für Mathematik 14 Journal de Théorie des Nombres de Bordeaux 13 Advances in Mathematics 12 Mathematische Zeitschrift 12 Acta Mathematica Hungarica 11 Functiones et Approximatio. Commentarii Mathematici 10 Transactions of the American Mathematical Society 9 Journal of the London Mathematical Society. Second Series 9 Journal für die Reine und Angewandte Mathematik 9 Proceedings of the American Mathematical Society 8 Israel Journal of Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Mathematische Annalen 8 Proceedings of the London Mathematical Society. Third Series 8 Revista Matemática Iberoamericana 7 Geometric and Functional Analysis. GAFA 7 Finite Fields and their Applications 6 Rocky Mountain Journal of Mathematics 6 Duke Mathematical Journal 6 Ergodic Theory and Dynamical Systems 6 Annals of Mathematics. Second Series 6 Acta Mathematica Sinica. English Series 6 Journal of the Australian Mathematical Society 6 Proceedings of the Steklov Institute of Mathematics 6 Frontiers of Mathematics in China 5 Journal d’Analyse Mathématique 5 Mathematical Notes 5 Bulletin of the London Mathematical Society 5 Inventiones Mathematicae 5 Michigan Mathematical Journal 5 Indagationes Mathematicae. New Series 5 Journal of the European Mathematical Society (JEMS) 5 Discrete Analysis 4 Bulletin of the Australian Mathematical Society 4 Discrete Mathematics 4 Journal of Mathematical Analysis and Applications 4 Nagoya Mathematical Journal 4 Forum of Mathematics, Sigma 3 Communications in Algebra 3 Lithuanian Mathematical Journal 3 Mathematics of Computation 3 Glasgow Mathematical Journal 3 Journal of Functional Analysis 3 Bulletin of the American Mathematical Society. New Series 3 Expositiones Mathematicae 3 Doklady Mathematics 3 Taiwanese Journal of Mathematics 3 Journal of Inequalities and Applications 3 Oberwolfach Reports 3 Forum of Mathematics, Pi 3 Open Mathematics 2 American Mathematical Monthly 2 Acta Mathematica 2 American Journal of Mathematics 2 Annales de l’Institut Fourier 2 Canadian Mathematical Bulletin 2 Manuscripta Mathematica 2 Proceedings of the Japan Academy. Series A 2 SIAM Journal on Computing 2 Combinatorica 2 Journal of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Acta Mathematica Sinica. New Series 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 Sbornik: Mathematics 2 The Journal of Fourier Analysis and Applications 2 Journal of Integer Sequences 2 Integers 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Science China. Mathematics 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 The Mathematical Intelligencer 1 Theory of Probability and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the Indian Institute of Science 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the Moscow Mathematical Society 1 European Journal of Combinatorics 1 Chinese Annals of Mathematics. Series B 1 Graphs and Combinatorics 1 Algorithmica 1 Forum Mathematicum 1 Science in China. Series A 1 IMRN. International Mathematics Research Notices ...and 32 more Serials all top 5 Cited in 36 Fields 510 Number theory (11-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 34 Algebraic geometry (14-XX) 30 Dynamical systems and ergodic theory (37-XX) 18 Combinatorics (05-XX) 12 Computer science (68-XX) 11 Measure and integration (28-XX) 10 Probability theory and stochastic processes (60-XX) 10 Information and communication theory, circuits (94-XX) 7 Partial differential equations (35-XX) 6 Field theory and polynomials (12-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Topological groups, Lie groups (22-XX) 4 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Abstract harmonic analysis (43-XX) 3 Operator theory (47-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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