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Author ID: vaughan.robert-c Recent zbMATH articles by "Vaughan, Robert C."
Published as: Vaughan, R. C.; Vaughan, Robert C.; Vaughan, Robert; Vaughan, Bob
Homepage: http://www.personal.psu.edu/rcv4/
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Serials

10 Acta Arithmetica
10 Journal of the London Mathematical Society. Second Series
10 Proceedings of the London Mathematical Society. Third Series
9 Bulletin of the London Mathematical Society
9 Mathematika
5 Journal of Number Theory
4 Journal für die Reine und Angewandte Mathematik
4 The Ramanujan Journal
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Oberwolfach Reports
3 Duke Mathematical Journal
3 Glasgow Mathematical Journal
3 The Quarterly Journal of Mathematics. Oxford Second Series
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Journal of the Australian Mathematical Society. Series A
2 Philosophical Transactions of the Royal Society of London. Series A
2 Annals of Mathematics. Second Series
2 Cambridge Studies in Advanced Mathematics
2 Cambridge Tracts in Mathematics
1 Electronics Letters
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Combinatorial Theory. Series A
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 IMRN. International Mathematics Research Notices
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Indagationes Mathematicae. New Series
1 Journal de Théorie des Nombres de Bordeaux
1 International Journal of Number Theory
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Séminaire de Théorie des Nombres
1 European Journal of Mathematics
1 Cambridge Tracts in Mathematics and Mathematical Physics
1 Cambridge Mathematical Library

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 2,130 times in 1,417 Documents Cited by Year
Multiplicative number theory. I. Classical theory. Zbl 1142.11001
Montgomery, Hugh L.; Vaughan, Robert C.
253
2007
The Hardy-Littlewood method. 2nd ed. Zbl 0868.11046
Vaughan, R. C.
235
1997
The large sieve. Zbl 0296.10023
Montgomery, H. L.; Vaughan, R. C.
124
1973
Hilbert’s inequality. Zbl 0281.10021
Montgomery, H. L.; Vaughan, R. C.
122
1974
The Hardy-Littlewood method. Zbl 0455.10034
Vaughan, R. C.
93
1981
The distribution of prime numbers. Paperback edition. Zbl 0715.11045
Ingham, A. E.
71
1990
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
67
1975
A new iterative method in Waring’s problem. Zbl 0665.10033
Vaughan, R. C.
65
1989
Exponential sums with multiplicative coefficients. Zbl 0362.10036
Montgomery, H. L.; Vaughan, R. C.
65
1977
Diophantine approximation on planar curves and the distribution of rational points. With an appendix: Sums of two squares near perfect squares by R. C. Vaughan. Zbl 1137.11048
Beresnevich, Victor; Dickinson, Detta; Velani, Sanju
47
2007
An elementary method in prime number theory. Zbl 0448.10037
Vaughan, R. C.
36
1980
Diophantine approximation on planar curves: the convergence theory. Zbl 1185.11047
Vaughan, R. C.; Velani, S.
35
2006
Diophantine approximation by prime numbers. II. Zbl 0276.10031
Vaughan, R. C.
34
1974
Diophantine approximation by prime numbers. I. Zbl 0274.10045
Vaughan, R. C.
33
1974
Sommes trigonométriques sur les nombres premiers. Zbl 0374.10025
Vaughan, Robert C.
33
1977
On the fractional parts of {x/n} and related sequences. II, III. Zbl 0379.10023
Saffari, B.; Vaughan, R. C.
33
1977
On Waring’s problem for cubes. Zbl 0574.10046
Vaughan, R. C.
32
1986
Analytic methods for Diophantine equations and Diophantine inequalities. Edited and prepared by T. D. Browning. With a preface by R. C. Vaughan, D. R. Heath-Brown and D. E. Freeman. 2nd ed. Zbl 1125.11018
Davenport, Harold
31
2005
Error terms in additive prime number theory. Zbl 0257.10027
Montgomery, H. L.; Vaughan, R. C.
30
1973
Waring’s problem: a survey. Zbl 1044.11090
Vaughan, R. C.; Wooley, T. D.
29
2002
Mean value theorems in prime number theory. Zbl 0314.10028
Vaughan, R. C.
26
1975
On the distribution of \(\alpha p\) modulo 1. Zbl 0374.10031
Vaughan, R. C.
26
1978
Sums of three cubes. Zbl 0562.10022
Vaughan, R. C.
24
1985
Further improvements in Waring’s problem. Zbl 0849.11075
Vaughan, Robert C.; Wooley, Trevor D.
22
1995
On Waring’s problem for smaller exponents. II. Zbl 0601.10037
Vaughan, R. C.
19
1986
On Waring’s problem for smaller exponents. Zbl 0601.10035
Vaughan, R. C.
17
1986
Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040
Montgomery, H. L.; Vaughan, R. C.
17
1999
Mean values of multiplicative functions. Zbl 0980.11043
Montgomery, H. L.; Vaughan, R. C.
17
2001
The k-dimensional Duffin and Schaeffer conjecture. Zbl 0715.11036
Pollington, A. D.; Vaughan, R. C.
16
1990
Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002
Montgomery, Hugh L; Vaughan, Robert C.
16
2012
On sums of primes. Zbl 0516.10044
Riesel, H.; Vaughan, R. C.
15
1983
The estimation of complete exponential sums. Zbl 0575.10033
Loxton, J. H.; Vaughan, R. C.
15
1985
Inhomogeneous Diophantine approximation on planar curves. Zbl 1221.11158
Beresnevich, V. V.; Vaughan, R. C.; Velani, S. L.
14
2011
Diophantine approximation by prime numbers. III. Zbl 0327.10031
Vaughan, R. C.
14
1976
On a problem of Erdős, Straus and Schinzel. Zbl 0219.10023
Vaughan, R. C.
13
1970
On the distribution of reduced residues. Zbl 0591.10042
Montgomery, H. L.; Vaughan, R. C.
12
1986
On the representation of numbers as sums of powers of natural numbers. Zbl 0206.06103
Vaughan, R. C.
12
1970
On Waring’s problem for cubes. II. Zbl 0677.10034
Vaughan, R. C.
12
1989
On a variance associated with the distribution of primes in arithmetic progressions. Zbl 1037.11060
Vaughan, R. C.
12
2001
On sums of mixed powers. Zbl 0221.10050
Vaughan, R. C.
11
1971
Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092
Vaughan, R. C.; Wooley, T. D.
11
2000
On Waring’s problem: Some refinements. Zbl 0736.11058
Vaughan, R. C.; Wooley, T. D.
11
1991
On a certain nonary cubic form and related equations. Zbl 0847.11052
Vaughan, R. C.; Wooley, T. D.
11
1995
Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory. Zbl 1405.11095
Beresnevich, Victor; Vaughan, Robert C.; Velani, Sanju; Zorin, Evgeniy
10
2017
On the Erdős-Fuchs theorems. Zbl 0715.11005
Montgomery, H. L.; Vaughan, R. C.
10
1990
Squares: additive questions and partitions. Zbl 1334.11080
Vaughan, Robert C.
10
2015
The divisor function on residue classes. I. Zbl 1325.11100
Pongsriiam, Prapanpong; Vaughan, Robert C.
9
2015
On the number of partitions into primes. Zbl 1154.11035
Vaughan, R. C.
9
2008
On the addition of sequences of integers. Zbl 0226.10058
Vaughan, R. C.
8
1972
Some applications of Montgomery’s sieve. Zbl 0266.10041
Vaughan, R. C.
8
1973
Bounds for the r-th coefficients of cyclotomic polynomials. Zbl 0295.10014
Erdős, Paul; Vaughan, R. C.
8
1974
A special case of Vinogradov’s mean value theorem. Zbl 0887.11042
Vaughan, R. C.; Wooley, T. D.
8
1997
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
Mean values of character sums. Zbl 0416.10030
Montgomery, H. L.; Vaughan, R. C.
8
1979
Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032
Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D.
8
1995
On Goldbach’s problem. Zbl 0216.31603
Vaughan, R. C.
7
1972
Bounds for the coefficients of cyclotomic polynomials. Zbl 0304.10008
Vaughan, R. C.
7
1975
A new iterative method in Waring’s problem. II. Zbl 0677.10035
Vaughan, R. C.
7
1989
A variance for \(k\)-free numbers in arithmetic progressions. Zbl 1117.11052
Vaughan, R. C.
7
2005
On the eigenvalues of Redheffer’s matrix. II. Zbl 0877.15021
Vaughan, R. C.
7
1996
On Waring’s problem: One square and five cubes. Zbl 0589.10047
Vaughan, R. C.
6
1986
On Waring’s problem for sixth powers. Zbl 0601.10036
Vaughan, R. C.
6
1986
Mean value theorems for binary Egyptian fractions. Zbl 1239.11038
Huang, Jingjing; Vaughan, Robert C.
6
2011
A ternary additive problem. Zbl 0446.10042
Vaughan, R. C.
6
1980
Some remarks on Weyl sums. Zbl 0545.10024
Vaughan, R. C.
5
1984
On the Montgomery-Hooley asymptotic formula. Zbl 0929.11034
Goldston, D. A.; Vaughan, R. C.
5
1997
On the distribution of generating functions. Zbl 0934.11037
Vaughan, R. C.; Wooley, T. D.
5
1998
On the eigenvalues of Redheffer’s matrix. I. Zbl 0794.15010
Vaughan, R. C.
5
1993
On a variance associated with the distribution of general sequences in arithmetic progressions. I. Zbl 0902.11039
Vaughan, R. C.
5
1998
Further improvements in Waring’s problem. II: Sixth powers. Zbl 0849.11076
Vaughan, R. C.; Wooley, T. D.
5
1994
The distribution of squarefree numbers. Zbl 0462.10029
Montgomery, H. L.; Vaughan, R. C.
5
1981
On the estimation of Schnirelman’s constant. Zbl 0344.10028
Vaughan, R. C.
5
1977
On the order of magnitude of Jacobsthal’s function. Zbl 0367.10043
Vaughan, R. C.
5
1977
The \(L^ 1\) mean of exponential sums over primes. Zbl 0639.10025
Vaughan, R. C.
4
1988
On the exceptional set for binary Egyptian fractions. Zbl 1357.11043
Huang, Jing-Jing; Vaughan, Robert C.
4
2013
On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010
Bateman, P. T.; Pomerance, C.; Vaughan, R. C.
4
1984
Further improvements in Waring’s problem. III: Eighth powers. Zbl 0849.11077
Vaughan, R. C.; Wooley, T. D.
4
1993
On a variance associated with the distribution of general sequences in arithmetic progressions. II. Zbl 0902.11040
Vaughan, R. C.
4
1998
On pairs of additive cubic equations. Zbl 0341.10044
Vaughan, R. C.
4
1977
On the fractional parts of \(x/n\) and related sequences. I. Zbl 0343.10019
Saffari, Bahman; Vaughan, R. C.
4
1976
Mean value theorems for binary Egyptian fractions. II. Zbl 1272.11049
Huang, Jing-Jing; Vaughan, Robert C.
3
2012
The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009
Montgomery, H. L.; Vaughan, R. C.
3
1985
On generating functions in additive number theory. I. Zbl 1221.11174
Vaughan, R. C.
3
2009
Small values of Dirichlet \(L\)-functions at 1. Zbl 0853.11073
Vaughan, R. C.
3
1996
An elementary method in prime number theory. Zbl 0483.10041
Vaughan, R. C.
3
1981
Diophantine approximation on manifolds and lower bounds for Hausdorff dimension. Zbl 1400.11118
Beresnevich, Victor; Lee, Lawrence; Vaughan, Robert C.; Velani, Sanju
3
2017
Inefficiency in packing squares with unit squares. Zbl 0373.05026
Roth, Klaus F.; Vaughan, R. C.
3
1978
The \(k\)-dimensional Duffin and Schaeffer conjecture. Zbl 0714.11048
Pollington, A. D.; Vaughan, R. C.
2
1989
A remark on the divisor function d(n). Zbl 0252.10008
Vaughan, R. C.
2
1973
On the number of solutions of the equation \(p\) = \(a\) + \(n_1\)…\(n_k\) with \(a<p \leq x\). Zbl 0254.10040
Vaughan, R. C.
2
1972
On the number of solutions of the equation \(p\) + \(n_1\)…\(n_k\) = N. Zbl 0254.10041
Vaughan, R. C.
2
1973
The general Goldbach problem with Beatty primes. Zbl 1387.11072
Vaughan, R. C.
2
2014
Integer points on elliptic curves. Zbl 1311.11048
Vaughan, R. C.
2
2014
On a problem related to one of Littlewood and Offord. Zbl 0751.11021
Vaughan, R. C.; Wooley, T. D.
2
1991
A survey of some important problems in additive number theory. Zbl 0401.10054
Vaughan, R. C.
2
1979
Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Zbl 1155.11004
2
2009
Zeros of Dirichlet series. Zbl 1331.11069
Vaughan, R. C.
2
2015
A note on Snirel’man’s approach to Goldbach’s problem. Zbl 0336.10046
Vaughan, R. C.
2
1976
Homogeneous additive equations and Waring’s problem. Zbl 0361.10046
Vaughan, R. C.
2
1977
The divisor function on residue classes. II. Zbl 1439.11255
Pongsriiam, Prapanpong; Vaughan, Robert C.
2
2018
On generating functions in additive number theory. II: Lower-order terms and applications to PDEs. Zbl 1466.11053
Brandes, J.; Parsell, S. T.; Poulias, C.; Shakan, G.; Vaughan, R. C.
1
2021
The divisor function on residue classes. II. Zbl 1439.11255
Pongsriiam, Prapanpong; Vaughan, Robert C.
2
2018
Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory. Zbl 1405.11095
Beresnevich, Victor; Vaughan, Robert C.; Velani, Sanju; Zorin, Evgeniy
10
2017
Diophantine approximation on manifolds and lower bounds for Hausdorff dimension. Zbl 1400.11118
Beresnevich, Victor; Lee, Lawrence; Vaughan, Robert C.; Velani, Sanju
3
2017
In memoriam Klaus Friedrich Roth 1925–2015. Zbl 1384.01045
Chen, William W. L.; Vaughan, Robert C.
1
2017
Goldbach’s conjectures: a historical perspective. Zbl 1403.11065
Vaughan, Robert C.
1
2016
Squares: additive questions and partitions. Zbl 1334.11080
Vaughan, Robert C.
10
2015
The divisor function on residue classes. I. Zbl 1325.11100
Pongsriiam, Prapanpong; Vaughan, Robert C.
9
2015
Zeros of Dirichlet series. Zbl 1331.11069
Vaughan, R. C.
2
2015
The general Goldbach problem with Beatty primes. Zbl 1387.11072
Vaughan, R. C.
2
2014
Integer points on elliptic curves. Zbl 1311.11048
Vaughan, R. C.
2
2014
Waring’s problem for Beatty sequences and a local to global principle. Zbl 1303.11110
Banks, William D.; Güloğlu, Ahmet M.; Vaughan, Robert C.
1
2014
On the exceptional set for binary Egyptian fractions. Zbl 1357.11043
Huang, Jing-Jing; Vaughan, Robert C.
4
2013
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
1
2013
Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002
Montgomery, Hugh L; Vaughan, Robert C.
16
2012
Mean value theorems for binary Egyptian fractions. II. Zbl 1272.11049
Huang, Jing-Jing; Vaughan, Robert C.
3
2012
Inhomogeneous Diophantine approximation on planar curves. Zbl 1221.11158
Beresnevich, V. V.; Vaughan, R. C.; Velani, S. L.
14
2011
Mean value theorems for binary Egyptian fractions. Zbl 1239.11038
Huang, Jingjing; Vaughan, Robert C.
6
2011
On generating functions in additive number theory. I. Zbl 1221.11174
Vaughan, R. C.
3
2009
Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Zbl 1155.11004
2
2009
On the number of partitions into primes. Zbl 1154.11035
Vaughan, R. C.
9
2008
Multiplicative number theory. I. Classical theory. Zbl 1142.11001
Montgomery, Hugh L.; Vaughan, Robert C.
253
2007
Diophantine approximation on planar curves and the distribution of rational points. With an appendix: Sums of two squares near perfect squares by R. C. Vaughan. Zbl 1137.11048
Beresnevich, Victor; Dickinson, Detta; Velani, Sanju
47
2007
Diophantine approximation on planar curves: the convergence theory. Zbl 1185.11047
Vaughan, R. C.; Velani, S.
35
2006
Analytic methods for Diophantine equations and Diophantine inequalities. Edited and prepared by T. D. Browning. With a preface by R. C. Vaughan, D. R. Heath-Brown and D. E. Freeman. 2nd ed. Zbl 1125.11018
Davenport, Harold
31
2005
A variance for \(k\)-free numbers in arithmetic progressions. Zbl 1117.11052
Vaughan, R. C.
7
2005
A mean value theorem for cubic fields. Zbl 1053.11082
Vaughan, R. C.
1
2003
Moments for primes in arithmetic progressions. I, II. Zbl 1053.11078
Vaughan, R. C.
1
2003
Waring’s problem: a survey. Zbl 1044.11090
Vaughan, R. C.; Wooley, T. D.
29
2002
Mean values of multiplicative functions. Zbl 0980.11043
Montgomery, H. L.; Vaughan, R. C.
17
2001
On a variance associated with the distribution of primes in arithmetic progressions. Zbl 1037.11060
Vaughan, R. C.
12
2001
On sigma-phi numbers. Zbl 1040.11066
Vaughan, Robert C.; Weis, Kevin L.
1
2001
Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092
Vaughan, R. C.; Wooley, T. D.
11
2000
Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040
Montgomery, H. L.; Vaughan, R. C.
17
1999
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 the distribution of generating functions. Zbl 0934.11037
Vaughan, R. C.; Wooley, T. D.
5
1998
On a variance associated with the distribution of general sequences in arithmetic progressions. I. Zbl 0902.11039
Vaughan, R. C.
5
1998
On a variance associated with the distribution of general sequences in arithmetic progressions. II. Zbl 0902.11040
Vaughan, R. C.
4
1998
The Hardy-Littlewood method. 2nd ed. Zbl 0868.11046
Vaughan, R. C.
235
1997
A special case of Vinogradov’s mean value theorem. Zbl 0887.11042
Vaughan, R. C.; Wooley, T. D.
8
1997
On the Montgomery-Hooley asymptotic formula. Zbl 0929.11034
Goldston, D. A.; Vaughan, R. C.
5
1997
On the eigenvalues of Redheffer’s matrix. II. Zbl 0877.15021
Vaughan, R. C.
7
1996
Small values of Dirichlet \(L\)-functions at 1. Zbl 0853.11073
Vaughan, R. C.
3
1996
Further improvements in Waring’s problem. Zbl 0849.11075
Vaughan, Robert C.; Wooley, Trevor D.
22
1995
On a certain nonary cubic form and related equations. Zbl 0847.11052
Vaughan, R. C.; Wooley, T. D.
11
1995
Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032
Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D.
8
1995
Further improvements in Waring’s problem. II: Sixth powers. Zbl 0849.11076
Vaughan, R. C.; Wooley, T. D.
5
1994
Obituary: Theodor Estermann. Zbl 0820.01015
Roth, Klaus F.; Vaughan, R. C.
1
1994
On the eigenvalues of Redheffer’s matrix. I. Zbl 0794.15010
Vaughan, R. C.
5
1993
Further improvements in Waring’s problem. III: Eighth powers. Zbl 0849.11077
Vaughan, R. C.; Wooley, T. D.
4
1993
On Waring’s problem: Some refinements. Zbl 0736.11058
Vaughan, R. C.; Wooley, T. D.
11
1991
On a problem related to one of Littlewood and Offord. Zbl 0751.11021
Vaughan, R. C.; Wooley, T. D.
2
1991
The distribution of prime numbers. Paperback edition. Zbl 0715.11045
Ingham, A. E.
71
1990
The k-dimensional Duffin and Schaeffer conjecture. Zbl 0715.11036
Pollington, A. D.; Vaughan, R. C.
16
1990
On the Erdős-Fuchs theorems. Zbl 0715.11005
Montgomery, H. L.; Vaughan, R. C.
10
1990
A new iterative method in Waring’s problem. Zbl 0665.10033
Vaughan, R. C.
65
1989
On Waring’s problem for cubes. II. Zbl 0677.10034
Vaughan, R. C.
12
1989
A new iterative method in Waring’s problem. II. Zbl 0677.10035
Vaughan, R. C.
7
1989
The \(k\)-dimensional Duffin and Schaeffer conjecture. Zbl 0714.11048
Pollington, A. D.; Vaughan, R. C.
2
1989
The \(L^ 1\) mean of exponential sums over primes. Zbl 0639.10025
Vaughan, R. C.
4
1988
On Waring’s problem for cubes. Zbl 0574.10046
Vaughan, R. C.
32
1986
On Waring’s problem for smaller exponents. II. Zbl 0601.10037
Vaughan, R. C.
19
1986
On Waring’s problem for smaller exponents. Zbl 0601.10035
Vaughan, R. C.
17
1986
On the distribution of reduced residues. Zbl 0591.10042
Montgomery, H. L.; Vaughan, R. C.
12
1986
On Waring’s problem: One square and five cubes. Zbl 0589.10047
Vaughan, R. C.
6
1986
On Waring’s problem for sixth powers. Zbl 0601.10036
Vaughan, R. C.
6
1986
Sums of three cubes. Zbl 0562.10022
Vaughan, R. C.
24
1985
The estimation of complete exponential sums. Zbl 0575.10033
Loxton, J. H.; Vaughan, R. C.
15
1985
The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009
Montgomery, H. L.; Vaughan, R. C.
3
1985
Sur le problème de Waring pour les cubes. (On Waring’s problem for cubes). Zbl 0589.10050
Vaughan, Robert C.
1
1985
The Hardy-Littlewood method. (Metod Khardi-Littlvuda). Transl. from the English. Zbl 0599.10040
Vaughan, R. C.
1
1985
Obituary: Ivan Matveevich Vinogradov. Zbl 0578.01029
Cassels, J. W. S.; Vaughan, R. C.
1
1985
Some remarks on Weyl sums. Zbl 0545.10024
Vaughan, R. C.
5
1984
On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010
Bateman, P. T.; Pomerance, C.; Vaughan, R. C.
4
1984
On sums of primes. Zbl 0516.10044
Riesel, H.; Vaughan, R. C.
15
1983
An analytic inequality. Zbl 0577.26014
Hinkkanen, A.; Vaughan, R. C.
1
1983
The Hardy-Littlewood method. Zbl 0455.10034
Vaughan, R. C.
93
1981
The distribution of squarefree numbers. Zbl 0462.10029
Montgomery, H. L.; Vaughan, R. C.
5
1981
An elementary method in prime number theory. Zbl 0483.10041
Vaughan, R. C.
3
1981
An elementary method in prime number theory. Zbl 0448.10037
Vaughan, R. C.
36
1980
A ternary additive problem. Zbl 0446.10042
Vaughan, R. C.
6
1980
Recent work in additive prime number theory. Zbl 0428.10026
Vaughan, R. C.
1
1980
Mean values of character sums. Zbl 0416.10030
Montgomery, H. L.; Vaughan, R. C.
8
1979
A survey of some important problems in additive number theory. Zbl 0401.10054
Vaughan, R. C.
2
1979
On the asymptotic density of sets of integers. II. Zbl 0409.10043
Erdős, Paul; Saffari, B.; Vaughan, R. C.
1
1979
On the distribution of \(\alpha p\) modulo 1. Zbl 0374.10031
Vaughan, R. C.
26
1978
Inefficiency in packing squares with unit squares. Zbl 0373.05026
Roth, Klaus F.; Vaughan, R. C.
3
1978
Exponential sums with multiplicative coefficients. Zbl 0362.10036
Montgomery, H. L.; Vaughan, R. C.
65
1977
Sommes trigonométriques sur les nombres premiers. Zbl 0374.10025
Vaughan, Robert C.
33
1977
On the fractional parts of {x/n} and related sequences. II, III. Zbl 0379.10023
Saffari, B.; Vaughan, R. C.
33
1977
On the estimation of Schnirelman’s constant. Zbl 0344.10028
Vaughan, R. C.
5
1977
On the order of magnitude of Jacobsthal’s function. Zbl 0367.10043
Vaughan, R. C.
5
1977
On pairs of additive cubic equations. Zbl 0341.10044
Vaughan, R. C.
4
1977
Homogeneous additive equations and Waring’s problem. Zbl 0361.10046
Vaughan, R. C.
2
1977
Diophantine approximation by prime numbers. III. Zbl 0327.10031
Vaughan, R. C.
14
1976
On the fractional parts of \(x/n\) and related sequences. I. Zbl 0343.10019
Saffari, Bahman; Vaughan, R. C.
4
1976
A note on Snirel’man’s approach to Goldbach’s problem. Zbl 0336.10046
Vaughan, R. C.
2
1976
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
67
1975
Mean value theorems in prime number theory. Zbl 0314.10028
Vaughan, R. C.
26
1975
Bounds for the coefficients of cyclotomic polynomials. Zbl 0304.10008
Vaughan, R. C.
7
1975
...and 16 more Documents
all top 5

Cited by 1,100 Authors

38 Brüdern, Jörg
38 Wooley, Trevor D.
35 Vaughan, Robert C.
24 Shparlinski, Igor E.
20 Perelli, Alberto
18 Harman, Glyn
18 Luca, Florian
15 Languasco, Alessandro
15 Lu, Guangshi
15 Tenenbaum, Gérald
13 Ramaré, Olivier
13 Zaccagnini, Alessandro
12 Baker, Roger C.
12 Banks, William D.
12 Kumchev, Angel V.
12 Pollack, Paul
12 Zhao, Lilu
11 Beresnevich, Victor V.
11 Granville, Andrew James
11 Pintz, Janos
11 Sankaranarayanan, Ayyadurai
10 Baier, Stephan
10 Li, Jinjiang
10 Pomerance, Carl Bernard
10 Zhang, Min
9 Ge, Wenxu
9 Goldston, Daniel Alan
9 Harper, Adam J.
9 Huang, Jingjing
9 Laurinčikas, Antanas
9 Liu, Ming-Chit
9 Liu, Zhixin
9 Martin, Greg
9 Montgomery, Hugh Lowell
9 Parsell, Scott T.
9 Tao, Terence
9 Velani, Sanju L.
8 Bourgain, Jean
8 Cai, Yingchun
8 Chow, Sam
8 de la Bretèche, Régis
8 Friedlander, John Benjamin
8 Heath-Brown, Roger
8 Liu, Huafeng
8 Liu, Jianya
8 Mu, Quanwu
8 Pongsriiam, Prapanpong
8 Soundararajan, Kannan
8 Wu, Jie
8 Zhao, Liangyi
7 Balog, Antal
7 Fomenko, Oleg Mstislavovich
7 Gonek, Steven M.
7 Güloğlu, Ahmet Muhtar
7 Iwaniec, Henryk
7 Lamzouri, Youness
7 Murty, Maruti Ram
7 Tsang, Kai-Man
7 Zaharescu, Alexandru
6 Akbal, Yıldırım
6 Alkan, Emre
6 Carneiro, Emanuel
6 Cochrane, Todd
6 Dietmann, Rainer
6 Elsholtz, Christian
6 Green, Ben Joseph
6 Halupczok, Karin
6 Kawada, Koichi
6 Li, Wei Ping
6 Liu, Yu-Ru
6 Milinovich, Micah B.
6 Ng, Nathan C.
6 Ramachandra, Kanakanahalli
6 Vaaler, Jeffrey D.
6 Wolke, Dieter
6 Xiao, Xuanxuan
6 Zhai, Wenguang
5 Bazzanella, Danilo
5 Bombieri, Enrico
5 Chamizo Lorente, Fernando
5 Conrey, John Brian
5 Diamond, Harold George
5 Dubickas, Artūras
5 Garaev, Moubariz Z.
5 Jiang, Yujiao
5 Kaczorowski, Jerzy
5 Kerr, Bryce
5 Matomäki, Kaisa Sofia
5 Munsch, Marc
5 Rivat, Joël
5 Seip, Kristian
5 Steuding, Jörn
5 Suriajaya, Ade Irma
5 Tolev, Doychin I.
5 Vu, Van H.
5 Zhang, Wenpeng
5 Zheng, Zhiyong
4 Badziahin, Dzmitry A.
4 Balasubramanian, Ramachandran
4 Bary-Soroker, Lior
...and 1,000 more Authors
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Cited in 210 Serials

200 Journal of Number Theory
71 Mathematika
63 International Journal of Number Theory
50 The Ramanujan Journal
45 Journal de Théorie des Nombres de Bordeaux
33 Acta Arithmetica
31 Monatshefte für Mathematik
31 Proceedings of the American Mathematical Society
31 Acta Mathematica Hungarica
29 Transactions of the American Mathematical Society
27 Mathematical Proceedings of the Cambridge Philosophical Society
27 Mathematics of Computation
27 Functiones et Approximatio. Commentarii Mathematici
26 Advances in Mathematics
25 Mathematische Zeitschrift
20 Duke Mathematical Journal
19 Mathematical Notes
15 Journal of Mathematical Analysis and Applications
15 Lithuanian Mathematical Journal
15 Rocky Mountain Journal of Mathematics
15 Archiv der Mathematik
14 Indagationes Mathematicae. New Series
13 Mathematische Annalen
11 Israel Journal of Mathematics
11 Acta Mathematica
11 Compositio Mathematica
11 Proceedings of the Steklov Institute of Mathematics
10 Annales de l’Institut Fourier
10 Glasgow Mathematical Journal
10 Inventiones Mathematicae
10 Journal für die Reine und Angewandte Mathematik
10 Acta Mathematica Sinica. English Series
9 Periodica Mathematica Hungarica
9 Frontiers of Mathematics in China
8 Bulletin of the Australian Mathematical Society
8 Journal d’Analyse Mathématique
8 Manuscripta Mathematica
8 Michigan Mathematical Journal
8 Journal of the American Mathematical Society
8 Linear Algebra and its Applications
8 Bulletin of the American Mathematical Society. New Series
8 Journal of Mathematical Sciences (New York)
8 Annals of Mathematics. Second Series
7 Nagoya Mathematical Journal
7 Proceedings of the London Mathematical Society. Third Series
7 Geometric and Functional Analysis. GAFA
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Experimental Mathematics
7 Integers
6 Finite Fields and their Applications
6 Journal of Integer Sequences
6 Journal of the Australian Mathematical Society
6 Chebyshevskiĭ Sbornik
6 Science China. Mathematics
6 Research in Number Theory
6 Discrete Analysis
5 Discrete Mathematics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Journal of Functional Analysis
5 Journal of the London Mathematical Society. Second Series
5 Acta Mathematica Sinica. New Series
5 Taiwanese Journal of Mathematics
5 Journal of Inequalities and Applications
5 Journal of the European Mathematical Society (JEMS)
5 Research in the Mathematical Sciences
5 Open Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Journal of Soviet Mathematics
4 Proceedings of the Japan Academy. Series A
4 Chinese Annals of Mathematics. Series B
4 Forum Mathematicum
4 Science in China. Series A
4 Expositiones Mathematicae
4 Algebra & Number Theory
3 Communications in Algebra
3 Moscow University Mathematics Bulletin
3 Journal of Differential Equations
3 Journal of the Korean Mathematical Society
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 European Journal of Combinatorics
3 Journal of Symbolic Computation
3 Probability Theory and Related Fields
3 The Electronic Journal of Combinatorics
3 Integral Transforms and Special Functions
3 The Journal of Fourier Analysis and Applications
3 Doklady Mathematics
3 Central European Journal of Mathematics
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Journal of Mathematics
3 European Journal of Mathematics
3 Transactions of the American Mathematical Society. Series B
2 Communications in Mathematical Physics
2 Indian Journal of Pure & Applied Mathematics
2 Nonlinearity
2 Arkiv för Matematik
2 The Mathematical Intelligencer
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Canadian Mathematical Bulletin
...and 110 more Serials
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Cited in 46 Fields

1,336 Number theory (11-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
40 Combinatorics (05-XX)
39 Algebraic geometry (14-XX)
29 Probability theory and stochastic processes (60-XX)
24 Functions of a complex variable (30-XX)
24 Dynamical systems and ergodic theory (37-XX)
19 Group theory and generalizations (20-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Measure and integration (28-XX)
16 Computer science (68-XX)
12 History and biography (01-XX)
10 Real functions (26-XX)
10 Approximations and expansions (41-XX)
10 Information and communication theory, circuits (94-XX)
8 Special functions (33-XX)
8 Partial differential equations (35-XX)
8 Operator theory (47-XX)
6 Commutative algebra (13-XX)
6 Abstract harmonic analysis (43-XX)
6 Numerical analysis (65-XX)
6 Quantum theory (81-XX)
5 Field theory and polynomials (12-XX)
5 Functional analysis (46-XX)
5 Convex and discrete geometry (52-XX)
5 Differential geometry (53-XX)
4 Manifolds and cell complexes (57-XX)
3 Mathematical logic and foundations (03-XX)
3 Topological groups, Lie groups (22-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Associative rings and algebras (16-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Ordinary differential equations (34-XX)
2 Systems theory; control (93-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

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