×

zbMATH — the first resource for mathematics

Wooley, Trevor D.

Compute Distance To:
Author ID: wooley.trevor-d Recent zbMATH articles by "Wooley, Trevor D."
Published as: Wooley, Trevor D.; Wooley, T. D.; Wooley, Trevor
Homepage: https://www.math.purdue.edu/~twooley/
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · IdRef
Documents Indexed: 153 Publications since 1990, including 1 Book
Biographic References: 1 Publication
all top 5

Serials

13 Acta Arithmetica
12 Mathematika
9 Proceedings of the London Mathematical Society. Third Series
8 Journal für die Reine und Angewandte Mathematik
7 IMRN. International Mathematics Research Notices
6 The Quarterly Journal of Mathematics
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Bulletin of the London Mathematical Society
5 Duke Mathematical Journal
5 Journal of the London Mathematical Society. Second Series
5 Monatshefte für Mathematik
4 Compositio Mathematica
3 Canadian Journal of Mathematics
3 Functiones et Approximatio. Commentarii Mathematici
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
3 Oberwolfach Reports
2 Acta Mathematica
2 Journal of Number Theory
2 Nagoya Mathematical Journal
2 Tsukuba Journal of Mathematics
2 Journal of the European Mathematical Society (JEMS)
1 American Mathematical Monthly
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

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 874 times in 411 Documents Cited by Year
Vinogradov’s mean value theorem via efficient congruencing. Zbl 1267.11105
Wooley, Trevor D.
51
2012
On the Waring-Goldbach problem for fourth and fifth powers. Zbl 1016.11046
Kawada, Koichi; Wooley, Trevor D.
37
2001
Large improvements in Waring’s problem. Zbl 0754.11026
Wooley, Trevor D.
34
1992
The cubic case of the main conjecture in Vinogradov’s mean value theorem. Zbl 1365.11097
Wooley, Trevor D.
33
2016
Vinogradov’s mean value theorem via efficient congruencing. II. Zbl 1312.11066
Wooley, Trevor D.
33
2013
Waring’s problem: a survey. Zbl 1044.11090
Vaughan, R. C.; Wooley, T. D.
26
2002
The asymptotic formula in Waring’s problem. Zbl 1267.11104
Wooley, Trevor D.
22
2012
Further improvements in Waring’s problem. Zbl 0849.11075
Vaughan, Robert C.; Wooley, Trevor D.
21
1995
On Vinogradov’s mean value theorem. Zbl 0769.11036
Wooley, Trevor D.
20
1992
Slim exceptional sets for sums of four squares. Zbl 1039.11066
Wooley, Trevor D.
18
2002
Multigrade efficient congruencing and Vinogradov’s mean value theorem. Zbl 1328.11087
Wooley, Trevor D.
17
2015
Nested efficient congruencing and relatives of Vinogradov’s mean value theorem. Zbl 1456.11149
Wooley, Trevor D.
17
2019
The quadratic Waring-Goldbach problem. Zbl 1056.11055
Liu, Jianya; Wooley, Trevor D.; Yu, Gang
16
2004
Approximating the main conjecture in Vinogradov’s mean value theorem. Zbl 1372.11086
Wooley, Trevor D.
15
2017
Multiple recurrence and convergence along the primes. Zbl 1355.11005
Wooley, Trevor D.; Ziegler, Tamar D.
15
2012
Breaking classical convexity in Waring’s problem: sums of cubes and quasi-diagonal behaviour. Zbl 0851.11055
Wooley, Trevor D.
14
1995
Waring’s problem in function fields. Zbl 1221.11203
Liu, Yu-Ru; Wooley, Trevor D.
14
2010
Near-optimal mean value estimates for multidimensional Weyl sums. Zbl 1320.11028
Parsell, Scott T.; Prendiville, Sean M.; Wooley, Trevor D.
13
2013
A note on simultaneous congruences. Zbl 0852.11017
Wooley, Trevor D.
12
1996
New estimates for smooth Weyl sums. Zbl 0833.11041
Wooley, Trevor D.
12
1995
A low-energy decomposition theorem. Zbl 1435.11020
Balog, Antal; Wooley, Trevor D.
11
2017
Slim exceptional sets for sums of cubes. Zbl 1007.11058
Wooley, Trevor D.
11
2002
On a certain nonary cubic form and related equations. Zbl 0847.11052
Vaughan, R. C.; Wooley, T. D.
11
1995
On Waring’s problem: Some refinements. Zbl 0736.11058
Vaughan, R. C.; Wooley, T. D.
11
1991
Translation invariance, exponential sums, and Waring’s problem. Zbl 1373.11061
Wooley, Trevor D.
11
2014
Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092
Vaughan, R. C.; Wooley, T. D.
10
2000
Quasi-diagonal behaviour in certain mean value theorems of additive number theory. Zbl 0786.11053
Wooley, Trevor D.
9
1994
On simultaneous additive equations. II. Zbl 0721.11011
Wooley, Trevor D.
9
1991
On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. Zbl 1307.11102
Ford, Kevin; Wooley, Trevor D.
8
2014
On the Waring-Goldbach problem for seventh and higher powers. Zbl 1381.11099
Kumchev, Angel V.; Wooley, Trevor D.
8
2017
Sums of two kth powers. Zbl 0820.11059
Skinner, C. M.; Wooley, T. D.
8
1995
Sums of two cubes. Zbl 0821.11049
Wooley, Trevor D.
8
1995
A special case of Vinogradov’s mean value theorem. Zbl 0887.11042
Vaughan, R. C.; Wooley, T. D.
8
1997
On the local solubility of diophantine systems. Zbl 0892.11011
Wooley, Trevor D.
8
1998
Sums of three cubes. Zbl 1026.11075
Wooley, Trevor D.
8
2000
Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032
Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D.
8
1995
A Birch-Goldbach theorem. Zbl 1241.11039
Brüdern, J.; Dietmann, R.; Liu, J. Y.; Wooley, T. D.
8
2010
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 exponential sums over smooth numbers. Zbl 0880.11060
Wooley, Trevor D.
7
1997
Additive representation in thin sequences. II: The binary Goldbach problem. Zbl 1023.11053
Brüdern, J.; Kawada, K.; Wooley, T. D.
7
2000
The Hasse principle for pairs of diagonal cubic forms. Zbl 1171.11053
Brüdern, Jörg; Wooley, Trevor D.
7
2007
Mean value estimates for odd cubic Weyl sums. Zbl 1377.11090
Wooley, Trevor D.
6
2015
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
On Waring’s problem for cubes and smooth Weyl sums. Zbl 1016.11044
Brüdern, Jörg; Wooley, Trevor D.
6
2001
A note on symmetric diagonal equations. Zbl 0791.11014
Wooley, Trevor D.
6
1993
New estimates for Weyl sums. Zbl 0855.11043
Wooley, Trevor D.
6
1995
Linear spaces on cubic hypersurfaces, and pairs of homogeneous cubic equations. Zbl 0910.11013
Wooley, Trevor D.
6
1997
On strings of consecutive integers with no large prime factors. Zbl 0942.11041
Balog, Antal; Wooley, Trevor D.
6
1998
On Weyl sums for smaller exponents. Zbl 1328.11085
Boklan, Kent D.; Wooley, Trevor D.
6
2012
On simultaneous additive equations. I. Zbl 0691.10007
Wooley, Trevor D.
6
1991
Relations between exceptional sets for additive problems. Zbl 1279.11097
Kawada, Koichi; Wooley, Trevor D.
6
2010
Rational solutions of pairs of diagonal equations, one cubic and one quadratic. Zbl 1333.11034
Wooley, Trevor D.
5
2015
On sums of powers of almost equal primes. Zbl 1338.11096
Wei, Bin; Wooley, Trevor D.
5
2015
Further improvements in Waring’s problem. II: Sixth powers. Zbl 0849.11076
Vaughan, R. C.; Wooley, T. D.
5
1994
Cubic diophantine inequalities. Zbl 0837.11016
Baker, R. C.; Brüdern, J.; Wooley, T. D.
5
1995
Slim exceptional sets and the asymptotic formula in Waring’s problem. Zbl 1045.11068
Wooley, Trevor D.
5
2003
Pairs of cubic forms in many variables. Zbl 1033.11015
Dietmann, Rainer; 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
On the distribution of generating functions. Zbl 0934.11037
Vaughan, R. C.; Wooley, T. D.
5
1998
An explicit version of Birch’s Theorem. Zbl 0915.11021
Wooley, Trevor D.
5
1998
Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1217.11038
Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D.
5
2010
On simultaneous additive equations. III. Zbl 0691.10008
Wooley, Trevor D.
5
1990
On the Waring-Goldbach problem for eighth and higher powers. Zbl 1358.11117
Kumchev, Angel V.; Wooley, Trevor D.
5
2016
Subconvexity for additive equations: pairs of undenary cubic forms. Zbl 1323.11019
Brüdern, Jörg; Wooley, Trevor D.
4
2014
On the paucity of non-diagonal solutions in certain diagonal diophantine systems. Zbl 0885.11026
Skinner, C. M.; Wooley, T. D.
4
1997
The application of a new mean value theorem to the fractional parts of polynomials. Zbl 0789.11037
Wooley, Trevor D.
4
1993
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
On Waring’s problem: two squares and three biquadrates. Zbl 1303.11111
Friedlander, John B.; Wooley, Trevor D.
4
2014
Sparse variance for primes in arithmetic progression. Zbl 1255.11044
Brüdern, J.; Wooley, T. D.
4
2011
Perturbations of Weyl sums. Zbl 1404.11101
Wooley, Trevor D.
4
2016
Discrete Fourier restriction via efficient congruencing. Zbl 1405.11130
Wooley, Trevor D.
4
2017
Slim exceptional sets in Waring’s problem: One square and five cubes. Zbl 1015.11049
Wooley, Trevor D.
3
2002
Asymptotic formulae for pairs of diagonal equations. Zbl 1118.11018
Brüdern, Jörg; Wooley, Trevor D.
3
2004
Artin’s conjecture for septic and unidecic forms. Zbl 1241.11041
Wooley, Trevor D.
3
2008
On Weyl’s inequality, Hua’s lemma, and exponential sums over binary forms. Zbl 1130.11312
Wooley, Trevor D.
3
1999
On simultaneous additive equations. IV. Zbl 0994.11015
Wooley, Trevor D.
3
1998
Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061
Brüdern, J.; Perelli, A.; Wooley, T. D.
3
2000
Forms in many variables. Zbl 0905.11022
Wooley, Trevor D.
3
1997
On Waring’s problem: some consequences of Golubeva’s method. Zbl 1286.11155
Wooley, Trevor D.
3
2013
Vinogradov systems with a slice off. Zbl 1390.11099
Brandes, Julia; Wooley, Trevor D.
2
2017
A superpowered Euclidean prime generator. Zbl 1391.11014
Wooley, Trevor D.
2
2017
The Hasse principle for systems of diagonal cubic forms. Zbl 1372.11048
Brüdern, Jörg; Wooley, Trevor D.
2
2016
On Waring’s problem: Two cubes and seven biquadrates. Zbl 1003.11045
Brüdern, Jörg; Wooley, Trevor D.
2
2000
On Waring’s problem: Three cubes and a sixth power. Zbl 0989.11047
Brüdern, Jörg; Wooley, Trevor D.
2
2001
Hua’s lemma and simultaneous diagonal equations. Zbl 1040.11017
Brüdern, Jörg; Wooley, Trevor D.
2
2002
On sums of sixteen biquadrates. Zbl 1080.11066
Deshouillers, Jean-Marc; Kawada, Koichi; Wooley, Trevor D.
2
2005
On Diophantine inequalities: Freeman’s asymptotic formulae. Zbl 1196.11055
Wooley, Trevor D.
2
2003
Privacy amplification and nonmalleable extractors via character sums. Zbl 1302.94043
Dodis, Yevgeniy; Li, Xin; Wooley, Trevor D.; Zuckerman, David
2
2014
Sums of two squares in short intervals. Zbl 0961.11030
Balog, Antal; Wooley, Trevor D.
2
2000
The paucity problem for simultaneous quadratic and biquadratic equations. Zbl 0937.11013
Tsui, W. Y.; Wooley, T. D.
2
1999
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
On a problem related to one of Littlewood and Offord. Zbl 0751.11021
Vaughan, R. C.; Wooley, T. D.
2
1991
Artin’s conjecture and systems of diagonal equations. Zbl 1397.11074
Wooley, Trevor D.
2
2015
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
Asymptotic formulae for pairs of diagonal cubic equations. Zbl 1238.11046
Brüdern, Jörg; Wooley, Trevor D.
2
2011
Exceptional sets for Diophantine inequalities. Zbl 1395.11068
Parsell, Scott T.; Wooley, Trevor D.
2
2014
Nested efficient congruencing and relatives of Vinogradov’s mean value theorem. Zbl 1456.11149
Wooley, Trevor D.
17
2019
Approximating the main conjecture in Vinogradov’s mean value theorem. Zbl 1372.11086
Wooley, Trevor D.
15
2017
A low-energy decomposition theorem. Zbl 1435.11020
Balog, Antal; Wooley, Trevor D.
11
2017
On the Waring-Goldbach problem for seventh and higher powers. Zbl 1381.11099
Kumchev, Angel V.; Wooley, Trevor D.
8
2017
Discrete Fourier restriction via efficient congruencing. Zbl 1405.11130
Wooley, Trevor D.
4
2017
Vinogradov systems with a slice off. Zbl 1390.11099
Brandes, Julia; Wooley, Trevor D.
2
2017
A superpowered Euclidean prime generator. Zbl 1391.11014
Wooley, Trevor D.
2
2017
The cubic case of the main conjecture in Vinogradov’s mean value theorem. Zbl 1365.11097
Wooley, Trevor D.
33
2016
On the Waring-Goldbach problem for eighth and higher powers. Zbl 1358.11117
Kumchev, Angel V.; Wooley, Trevor D.
5
2016
Perturbations of Weyl sums. Zbl 1404.11101
Wooley, Trevor D.
4
2016
The Hasse principle for systems of diagonal cubic forms. Zbl 1372.11048
Brüdern, Jörg; Wooley, Trevor D.
2
2016
On Waring’s problem for intermediate powers. Zbl 1408.11095
Wooley, Trevor D.
1
2016
Multigrade efficient congruencing and Vinogradov’s mean value theorem. Zbl 1328.11087
Wooley, Trevor D.
17
2015
Mean value estimates for odd cubic Weyl sums. Zbl 1377.11090
Wooley, Trevor D.
6
2015
Rational solutions of pairs of diagonal equations, one cubic and one quadratic. Zbl 1333.11034
Wooley, Trevor D.
5
2015
On sums of powers of almost equal primes. Zbl 1338.11096
Wei, Bin; Wooley, Trevor D.
5
2015
Artin’s conjecture and systems of diagonal equations. Zbl 1397.11074
Wooley, Trevor D.
2
2015
Sums of three cubes. II. Zbl 1408.11094
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.
11
2014
On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing. Zbl 1307.11102
Ford, Kevin; Wooley, Trevor D.
8
2014
Subconvexity for additive equations: pairs of undenary cubic forms. Zbl 1323.11019
Brüdern, Jörg; Wooley, Trevor D.
4
2014
On Waring’s problem: two squares and three biquadrates. Zbl 1303.11111
Friedlander, John B.; Wooley, Trevor D.
4
2014
Privacy amplification and nonmalleable extractors via character sums. Zbl 1302.94043
Dodis, Yevgeniy; Li, Xin; Wooley, Trevor D.; Zuckerman, David
2
2014
Exceptional sets for Diophantine inequalities. Zbl 1395.11068
Parsell, Scott T.; Wooley, Trevor D.
2
2014
On Waring’s problem: two squares, two cubes and two sixth powers. Zbl 1309.11072
Wooley, Trevor D.
1
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.
33
2013
Near-optimal mean value estimates for multidimensional Weyl sums. Zbl 1320.11028
Parsell, Scott T.; Prendiville, Sean M.; Wooley, Trevor D.
13
2013
On Waring’s problem: some consequences of Golubeva’s method. Zbl 1286.11155
Wooley, Trevor D.
3
2013
Vinogradov’s mean value theorem via efficient congruencing. Zbl 1267.11105
Wooley, Trevor D.
51
2012
The asymptotic formula in Waring’s problem. Zbl 1267.11104
Wooley, Trevor D.
22
2012
Multiple recurrence and convergence along the primes. Zbl 1355.11005
Wooley, Trevor D.; Ziegler, Tamar D.
15
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.
4
2011
Asymptotic formulae for pairs of diagonal cubic equations. Zbl 1238.11046
Brüdern, Jörg; Wooley, Trevor D.
2
2011
Privacy amplification and non-malleable extractors via character sums. Zbl 1292.94169
Dodis, Yevgeniy; Li, Xin; Wooley, Trevor D.; Zuckerman, David
1
2011
Waring’s problem in function fields. Zbl 1221.11203
Liu, Yu-Ru; Wooley, Trevor D.
14
2010
A Birch-Goldbach theorem. Zbl 1241.11039
Brüdern, J.; Dietmann, R.; Liu, J. Y.; Wooley, T. D.
8
2010
Relations between exceptional sets for additive problems. Zbl 1279.11097
Kawada, Koichi; Wooley, Trevor D.
6
2010
Additive representation in thin sequences. VIII: Diophantine inequalities in review. Zbl 1217.11038
Brüdern, Jörg; Kawada, Koichi; Wooley, Trevor D.
5
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
Rational points on complete intersections of higher degree, and mean values of Weyl sums. Zbl 1279.11032
Salberger, Per; Wooley, Trevor D.
1
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.
3
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.
7
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.
2
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.
5
2003
Pairs of cubic forms in many variables. Zbl 1033.11015
Dietmann, Rainer; Wooley, Trevor D.
5
2003
On Diophantine inequalities: Freeman’s asymptotic formulae. Zbl 1196.11055
Wooley, Trevor D.
2
2003
Additive representation in thin sequences. V: Mixed problems of Waring’s type. Zbl 1023.11052
Brüdern, J.; Kawada, K.; Wooley, T. D.
1
2003
On Vu’s thin basis theorem in Waring’s problem. Zbl 1047.11094
Wooley, Trevor D.
1
2003
Waring’s problem: a survey. Zbl 1044.11090
Vaughan, R. C.; Wooley, T. D.
26
2002
Slim exceptional sets for sums of four squares. Zbl 1039.11066
Wooley, Trevor D.
18
2002
Slim exceptional sets for sums of cubes. Zbl 1007.11058
Wooley, Trevor D.
11
2002
Slim exceptional sets in Waring’s problem: One square and five cubes. Zbl 1015.11049
Wooley, Trevor D.
3
2002
Hua’s lemma and simultaneous diagonal equations. Zbl 1040.11017
Brüdern, Jörg; 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
A quasi-paucity problem. Zbl 1027.11024
Parsell, Scott T.; Wooley, Trevor D.
1
2002
On the Waring-Goldbach problem for fourth and fifth powers. Zbl 1016.11046
Kawada, Koichi; Wooley, Trevor D.
37
2001
On Waring’s problem for cubes and smooth Weyl sums. Zbl 1016.11044
Brüdern, Jörg; Wooley, Trevor D.
6
2001
On Waring’s problem: Three cubes and a sixth power. Zbl 0989.11047
Brüdern, Jörg; Wooley, Trevor D.
2
2001
Hua’s lemma and exponential sums over binary forms. Zbl 1003.11048
Wooley, Trevor D.
1
2001
Additive representation in thin sequences. IV: Lower bound methods. Zbl 1037.11062
Brüdern, J.; Kawada, K.; Wooley, T. 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.
10
2000
Sums of three cubes. Zbl 1026.11075
Wooley, Trevor D.
8
2000
Additive representation in thin sequences. II: The binary Goldbach problem. Zbl 1023.11053
Brüdern, J.; Kawada, K.; Wooley, T. D.
7
2000
Twins of \(k\)-free numbers and their exponential sum. Zbl 0987.11061
Brüdern, J.; Perelli, A.; Wooley, T. D.
3
2000
On Waring’s problem: Two cubes and seven biquadrates. Zbl 1003.11045
Brüdern, Jörg; Wooley, Trevor D.
2
2000
Sums of two squares in short intervals. Zbl 0961.11030
Balog, Antal; Wooley, Trevor D.
2
2000
Weyl’s inequality and exponential sums over binary forms. Zbl 0993.11042
Wooley, Trevor D.
1
2000
Sums and differences of two cubic polynomials. Zbl 0940.11044
Wooley, Trevor D.
1
2000
Quasi-diagonal behaviour and smooth Weyl sums. Zbl 0951.11027
Wooley, Trevor D.
1
2000
On Weyl’s inequality, Hua’s lemma, and exponential sums over binary forms. Zbl 1130.11312
Wooley, Trevor D.
3
1999
The paucity problem for simultaneous quadratic and biquadratic equations. Zbl 0937.11013
Tsui, W. Y.; Wooley, T. D.
2
1999
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
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
The representation of integers by binary additive forms. Zbl 0889.11033
Bennett, M. A.; Dummigan, N. P.; Wooley, T. D.
6
1998
On strings of consecutive integers with no large prime factors. Zbl 0942.11041
Balog, Antal; Wooley, Trevor D.
6
1998
On the distribution of generating functions. Zbl 0934.11037
Vaughan, R. C.; Wooley, T. D.
5
1998
An explicit version of Birch’s Theorem. Zbl 0915.11021
Wooley, Trevor D.
5
1998
The addition of binary cubic forms. Zbl 0909.11043
Brüdern, Jörg; Wooley, Trevor D.
4
1998
On simultaneous additive equations. IV. Zbl 0994.11015
Wooley, Trevor D.
3
1998
On sums of two cubes: An \(\Omega_+\)-estimate for the error term. Zbl 0916.11052
Kühleitner, M.; Nowak, W. G.; Schoissengeier, J.; Wooley, T. D.
1
1998
A special case of Vinogradov’s mean value theorem. Zbl 0887.11042
Vaughan, R. C.; Wooley, T. D.
8
1997
On exponential sums over smooth numbers. Zbl 0880.11060
Wooley, Trevor D.
7
1997
Linear spaces on cubic hypersurfaces, and pairs of homogeneous cubic equations. Zbl 0910.11013
Wooley, Trevor D.
6
1997
On the paucity of non-diagonal solutions in certain diagonal diophantine systems. Zbl 0885.11026
Skinner, C. M.; Wooley, T. D.
4
1997
...and 26 more Documents
all top 5

Cited by 355 Authors

48 Wooley, Trevor D.
22 Brüdern, Jörg
17 Shparlinski, Igor E.
10 Bourgain, Jean
10 Liu, Zhixin
10 Lu, Guangshi
8 Kumchev, Angel V.
8 Parsell, Scott T.
7 Cochrane, Todd
7 Shkredov, Il’ya Dmitrievich
7 Spencer, Craig V.
7 Zhao, Lilu
6 Brandes, Julia
6 Demeter, Ciprian
6 Dietmann, Rainer
6 Dubickas, Artūras
6 Liu, Jianya
6 Vaughan, Robert C.
5 Browning, Timothy Daniel
5 Cai, Yingchun
5 Chow, Sam
5 Frantzikinakis, Nikos
5 Guo, Shaoming
5 Robert, Olivier
4 Byeon, Dongho
4 Car, Mireille
4 Güloğlu, Ahmet Muhtar
4 Heath-Brown, Roger
4 Kawada, Koichi
4 Liu, Yu-Ru
4 Ren, Xiumin
3 Akbal, Yıldırım
3 Baker, Roger C.
3 Banks, William D.
3 Boyarinov, R. N.
3 Chang, Mei-Chu
3 Chen, Changhao
3 Cilleruelo, Javier
3 Garaev, Moubariz Z.
3 Halupczok, Karin
3 Harman, Glyn
3 Harvey, M. P.
3 Hughes, Kevin
3 Knapp, Michael P.
3 Li, Hongze
3 Li, Jinjiang
3 Meng, Zaizhao
3 Pierce, Lillian B.
3 Pinner, Christopher G.
3 Stewart, Cameron L.
3 Tao, Terence
3 Tsang, Kai-Man
3 Xue, Boqing
3 Zhang, Min
3 Zhao, Xiaomei
2 Akarsu, Emek Demirci
2 Blomer, Valentin
2 Chattopadhyay, Eshan
2 Cook, Brian
2 de la Bretèche, Régis
2 Drappeau, Sary
2 Eisner, Tanja
2 Elsholtz, Christian
2 Feng, Zhenzhen
2 Ford, Kevin B.
2 Freeman, D. Eric
2 Gallardo, Luis Henri
2 Ge, Wenxu
2 Greaves, George
2 Guth, Lawrence David
2 Host, Bernard
2 Hu, Yi
2 Huang, Bingrong
2 Jeong, Keunyoung
2 Karabulut, Yeşim Demiroğlu
2 Laporta, Maurizio B. S.
2 Le, Anh Ngoc
2 Li, Xiaochun
2 Li, Zane Kun
2 Lü, Xiaodong
2 Magyar, Akos
2 Marklof, Jens
2 Maynard, James
2 Meng, Xianmeng
2 Mirek, Mariusz
2 Mu, Quanwu
2 Ostergaard, Misty
2 Prendiville, Sean M.
2 Rudnev, Misha
2 Shakan, George
2 Shallit, Jeffrey O.
2 Sofos, Efthymios
2 Stein, Elias Menachem
2 Sun, Wenbo
2 Tenenbaum, Gérald
2 Tichy, Robert Franz
2 Trojan, Bartosz
2 Vaserstein, Leonid N.
2 Winterhof, Arne
2 Xiao, Stanley Yao
...and 255 more Authors
all top 5

Cited in 106 Serials

37 Journal of Number Theory
28 Mathematika
14 Journal de Théorie des Nombres de Bordeaux
13 International Journal of Number Theory
12 Acta Arithmetica
12 Advances in Mathematics
12 Monatshefte für Mathematik
11 Functiones et Approximatio. Commentarii Mathematici
9 Acta Mathematica Hungarica
9 The Ramanujan Journal
8 Mathematische Zeitschrift
8 Proceedings of the American Mathematical Society
7 Israel Journal of Mathematics
7 Journal für die Reine und Angewandte Mathematik
7 Transactions of the American Mathematical Society
7 Finite Fields and their Applications
6 Duke Mathematical Journal
6 Geometric and Functional Analysis. GAFA
6 Annals of Mathematics. Second Series
6 Acta Mathematica Sinica. English Series
5 Journal d’Analyse Mathématique
5 Mathematical Notes
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Rocky Mountain Journal of Mathematics
5 Journal of the London Mathematical Society. Second Series
5 Mathematische Annalen
5 Proceedings of the London Mathematical Society. Third Series
5 Ergodic Theory and Dynamical Systems
5 Revista Matemática Iberoamericana
5 Journal of the Australian Mathematical Society
5 Proceedings of the Steklov Institute of Mathematics
5 Frontiers of Mathematics in China
4 Inventiones Mathematicae
4 Michigan Mathematical Journal
4 Nagoya Mathematical Journal
4 Journal of the European Mathematical Society (JEMS)
3 Lithuanian Mathematical Journal
3 Bulletin of the London Mathematical Society
3 Glasgow Mathematical Journal
3 Bulletin of the American Mathematical Society. New Series
3 Indagationes Mathematicae. New Series
3 Taiwanese Journal of Mathematics
3 Journal of Inequalities and Applications
2 American Mathematical Monthly
2 Communications in Algebra
2 Discrete Mathematics
2 Mathematics of Computation
2 Acta Mathematica
2 Manuscripta Mathematica
2 Proceedings of the Japan Academy. Series A
2 SIAM Journal on Computing
2 Journal of the American Mathematical Society
2 The Journal of Geometric Analysis
2 Expositiones Mathematicae
2 Acta Mathematica Sinica. New Series
2 Experimental Mathematics
2 Journal of Mathematical Sciences (New York)
2 Doklady Mathematics
2 Forum of Mathematics, Sigma
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical Analysis and Applications
1 Moscow University Mathematics Bulletin
1 The Mathematical Intelligencer
1 Theory of Probability and its Applications
1 Annales de l’Institut Fourier
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 Mathematical Bulletin
1 Czechoslovak Mathematical Journal
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Transactions of the Moscow Mathematical Society
1 European Journal of Combinatorics
1 Chinese Annals of Mathematics. Series B
1 Graphs and Combinatorics
1 Forum Mathematicum
1 Science in China. Series A
1 IMRN. International Mathematics Research Notices
1 Designs, Codes and Cryptography
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Computational Complexity
1 Formal Methods in System Design
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Positivity
1 Journal of the ACM
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Integers
1 Portugaliae Mathematica. Nova Série
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Complex Variables and Elliptic Equations
1 BSHM Bulletin
1 Journal of Modern Dynamics
1 Japanese Journal of Mathematics. 3rd Series
1 São Paulo Journal of Mathematical Sciences
1 Forum of Mathematics, Pi
...and 6 more Serials

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.