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Vaughan, Robert C.

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Author ID: vaughan.robert-c Recent zbMATH articles by "Vaughan, Robert C."
Published as: Vaughan, R. C.; Vaughan, Robert; Vaughan, Robert C.
External Links: MGP · Wikidata · GND
Documents Indexed: 137 Publications since 1970, including 7 Books
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Serials

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

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 1,820 times in 1,299 Documents Cited by Year
Multiplicative number theory. I. Classical theory. Zbl 1142.11001
Montgomery, Hugh L.; Vaughan, Robert C.
246
2007
The Hardy-Littlewood method. 2nd ed. Zbl 0868.11046
Vaughan, R. C.
217
1997
Hilbert’s inequality. Zbl 0281.10021
Montgomery, H. L.; Vaughan, R. C.
116
1974
The large sieve. Zbl 0296.10023
Montgomery, H. L.; Vaughan, R. C.
115
1973
The Hardy-Littlewood method. Zbl 0455.10034
Vaughan, R. C.
95
1981
The exceptional set in Goldbach’s problem. Zbl 0301.10043
Montgomery, H. L.; Vaughan, R. C.
63
1975
A new iterative method in Waring’s problem. Zbl 0665.10033
Vaughan, R. C.
62
1989
Exponential sums with multiplicative coefficients. Zbl 0362.10036
Montgomery, H. L.; Vaughan, R. C.
59
1977
An elementary method in prime number theory. Zbl 0448.10037
Vaughan, R. C.
34
1980
Sommes trigonométriques sur les nombres premiers. Zbl 0374.10025
Vaughan, Robert C.
33
1977
Diophantine approximation on planar curves: the convergence theory. Zbl 1185.11047
Vaughan, R. C.; Velani, S.
31
2006
Error terms in additive prime number theory. Zbl 0257.10027
Montgomery, H. L.; Vaughan, R. C.
31
1973
On Waring’s problem for cubes. Zbl 0574.10046
Vaughan, R. C.
30
1986
On the fractional parts of x/n and related sequences. II, III. Zbl 0379.10023
Saffari, B.; Vaughan, R. C.
30
1977
Diophantine approximation by prime numbers. II. Zbl 0276.10031
Vaughan, R. C.
29
1974
Diophantine approximation by prime numbers. I. Zbl 0274.10045
Vaughan, R. C.
28
1974
Mean value theorems in prime number theory. Zbl 0314.10028
Vaughan, R. C.
25
1975
Waring’s problem: a survey. Zbl 1044.11090
Vaughan, R. C.; Wooley, T. D.
24
2002
Sums of three cubes. Zbl 0562.10022
Vaughan, R. C.
23
1985
On the distribution of \(\alpha p\) modulo 1. Zbl 0374.10031
Vaughan, R. C.
22
1978
Further improvements in Waring’s problem. Zbl 0849.11075
Vaughan, Robert C.; Wooley, Trevor D.
21
1995
On Waring’s problem for smaller exponents. II. Zbl 0601.10037
Vaughan, R. C.
18
1986
Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040
Montgomery, H. L.; Vaughan, R. C.
17
1999
The k-dimensional Duffin and Schaeffer conjecture. Zbl 0715.11036
Pollington, A. D.; Vaughan, R. C.
16
1990
Mean values of multiplicative functions. Zbl 0980.11043
Montgomery, H. L.; Vaughan, R. C.
15
2001
The estimation of complete exponential sums. Zbl 0575.10033
Loxton, J. H.; Vaughan, R. C.
15
1985
On Waring’s problem for smaller exponents. Zbl 0601.10035
Vaughan, R. C.
13
1986
Inhomogeneous Diophantine approximation on planar curves. Zbl 1221.11158
Beresnevich, V. V.; Vaughan, R. C.; Velani, S. L.
12
2011
On Waring’s problem for cubes. II. Zbl 0677.10034
Vaughan, R. C.
12
1989
On the distribution of reduced residues. Zbl 0591.10042
Montgomery, H. L.; Vaughan, R. C.
12
1986
Diophantine approximation by prime numbers. III. Zbl 0327.10031
Vaughan, R. C.
12
1976
On a problem of Erdős, Straus and Schinzel. Zbl 0219.10023
Vaughan, R. C.
12
1970
Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002
Montgomery, Hugh L; Vaughan, Robert C.
11
2012
On a certain nonary cubic form and related equations. Zbl 0847.11052
Vaughan, R. C.; Wooley, T. D.
11
1995
On sums of primes. Zbl 0516.10044
Riesel, H.; Vaughan, R. C.
11
1983
On a variance associated with the distribution of primes in arithmetic progressions. Zbl 1037.11060
Vaughan, R. C.
10
2001
On the representation of numbers as sums of powers of natural numbers. Zbl 0206.06103
Vaughan, R. C.
10
1970
Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092
Vaughan, R. C.; Wooley, T. D.
9
2000
On Waring’s problem: Some refinements. Zbl 0736.11058
Vaughan, R. C.; Wooley, T. D.
9
1991
On the Erdős-Fuchs theorems. Zbl 0715.11005
Montgomery, H. L.; Vaughan, R. C.
9
1990
On sums of mixed powers. Zbl 0221.10050
Vaughan, R. C.
9
1971
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
Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032
Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D.
8
1995
Mean values of character sums. Zbl 0416.10030
Montgomery, H. L.; Vaughan, R. C.
8
1979
On the addition of sequences of integers. Zbl 0226.10058
Vaughan, R. C.
8
1972
Squares: additive questions and partitions. Zbl 1334.11080
Vaughan, Robert C.
7
2015
The divisor function on residue classes. I. Zbl 1325.11100
Pongsriiam, Prapanpong; Vaughan, Robert C.
7
2015
A special case of Vinogradov’s mean value theorem. Zbl 0887.11042
Vaughan, R. C.; Wooley, T. D.
7
1997
On the eigenvalues of Redheffer’s matrix. II. Zbl 0877.15021
Vaughan, R. C.
7
1996
A new iterative method in Waring’s problem. II. Zbl 0677.10035
Vaughan, R. C.
7
1989
Bounds for the r-th coefficients of cyclotomic polynomials. Zbl 0295.10014
Erdős, Paul; Vaughan, R. C.
7
1974
Some applications of Montgomery’s sieve. Zbl 0266.10041
Vaughan, R. C.
7
1973
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
6
2017
On the number of partitions into primes. Zbl 1154.11035
Vaughan, R. C.
6
2008
On Waring’s problem for sixth powers. Zbl 0601.10036
Vaughan, R. C.
6
1986
A ternary additive problem. Zbl 0446.10042
Vaughan, R. C.
6
1980
On Goldbach’s problem. Zbl 0216.31603
Vaughan, R. C.
6
1972
On the distribution of generating functions. Zbl 0934.11037
Vaughan, R. C.; Wooley, T. D.
5
1998
Further improvements in Waring’s problem. II: Sixth powers. Zbl 0849.11076
Vaughan, R. C.; Wooley, T. D.
5
1994
On the eigenvalues of Redheffer’s matrix. I. Zbl 0794.15010
Vaughan, R. C.
5
1993
On Waring’s problem: One square and five cubes. Zbl 0589.10047
Vaughan, R. C.
5
1986
Some remarks on Weyl sums. Zbl 0545.10024
Vaughan, R. C.
5
1984
The distribution of squarefree numbers. Zbl 0462.10029
Montgomery, H. L.; Vaughan, R. C.
5
1981
On the order of magnitude of Jacobsthal’s function. Zbl 0367.10043
Vaughan, R. C.
5
1977
On the estimation of Schnirelman’s constant. Zbl 0344.10028
Vaughan, R. C.
5
1977
Bounds for the coefficients of cyclotomic polynomials. Zbl 0304.10008
Vaughan, R. C.
5
1975
Mean value theorems for binary Egyptian fractions. Zbl 1239.11038
Huang, Jingjing; Vaughan, Robert C.
4
2011
A variance for \(k\)-free numbers in arithmetic progressions. Zbl 1117.11052
Vaughan, R. C.
4
2005
On a variance associated with the distribution of general sequences in arithmetic progressions. I. Zbl 0902.11039
Vaughan, R. C.
4
1998
Further improvements in Waring’s problem. III: Eighth powers. Zbl 0849.11077
Vaughan, R. C.; Wooley, T. D.
4
1993
The \(L^ 1\) mean of exponential sums over primes. Zbl 0639.10025
Vaughan, R. C.
4
1988
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
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
On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010
Bateman, P. T.; Pomerance, C.; Vaughan, R. C.
3
1984
An elementary method in prime number theory. Zbl 0483.10041
Vaughan, R. C.
3
1981
Inefficiency in packing squares with unit squares. Zbl 0373.05026
Roth, Klaus F.; Vaughan, R. C.
3
1978
Zeros of Dirichlet series. Zbl 1331.11069
Vaughan, R. C.
2
2015
Integer points on elliptic curves. Zbl 1311.11048
Vaughan, R. C.
2
2014
The general Goldbach problem with Beatty primes. Zbl 1387.11072
Vaughan, R. C.
2
2014
On the exceptional set for binary Egyptian fractions. Zbl 1357.11043
Huang, Jing-Jing; Vaughan, Robert C.
2
2013
Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Zbl 1155.11004
Chen, W. W. L. (ed.); Gowers, W. T. (ed.); Halberstam, H. (ed.); Schmidt, W. M. (ed.); Vaughan, R. C. (ed.)
2
2009
On a variance associated with the distribution of general sequences in arithmetic progressions. II. Zbl 0902.11040
Vaughan, R. C.
2
1998
On the Montgomery-Hooley asymptotic formula. Zbl 0929.11034
Goldston, D. A.; Vaughan, R. C.
2
1997
On a problem related to one of Littlewood and Offord. Zbl 0751.11021
Vaughan, R. C.; Wooley, T. D.
2
1991
The \(k\)-dimensional Duffin and Schaeffer conjecture. Zbl 0714.11048
Pollington, A. D.; Vaughan, R. C.
2
1989
The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009
Montgomery, H. L.; Vaughan, R. C.
2
1985
A survey of some important problems in additive number theory. Zbl 0401.10054
Vaughan, R. C.
2
1979
Homogeneous additive equations and Waring’s problem. Zbl 0361.10046
Vaughan, R. C.
2
1977
A note on Snirel’man’s approach to Goldbach’s problem. Zbl 0336.10046
Vaughan, R. C.
2
1976
On the number of solutions of the equation \(p\) + \(n_1\)…\(n_k\) = N. Zbl 0254.10041
Vaughan, R. C.
2
1973
A remark on the divisor function d(n). Zbl 0252.10008
Vaughan, R. C.
2
1973
Goldbach’s conjectures: a historical perspective. Zbl 1403.11065
Vaughan, Robert C.
1
2016
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
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Alladi, Krishnaswami (ed.); Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole
1
2013
Mean value theorems for binary Egyptian fractions. II. Zbl 1272.11049
Huang, Jing-Jing; Vaughan, Robert C.
1
2012
A mean value theorem for cubic fields. Zbl 1053.11082
Vaughan, R. C.
1
2003
Obituary: Theodor Estermann. Zbl 0820.01015
Roth, Klaus F.; Vaughan, R. C.
1
1994
The Hardy-Littlewood method. (Metod Khardi-Littlvuda). Transl. from the English. Zbl 0599.10040
Vaughan, R. C.
1
1985
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
6
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.
7
2015
The divisor function on residue classes. I. Zbl 1325.11100
Pongsriiam, Prapanpong; Vaughan, Robert C.
7
2015
Zeros of Dirichlet series. Zbl 1331.11069
Vaughan, R. C.
2
2015
Integer points on elliptic curves. Zbl 1311.11048
Vaughan, R. C.
2
2014
The general Goldbach problem with Beatty primes. Zbl 1387.11072
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.
2
2013
Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002
Alladi, Krishnaswami (ed.); 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.
11
2012
Mean value theorems for binary Egyptian fractions. II. Zbl 1272.11049
Huang, Jing-Jing; Vaughan, Robert C.
1
2012
Inhomogeneous Diophantine approximation on planar curves. Zbl 1221.11158
Beresnevich, V. V.; Vaughan, R. C.; Velani, S. L.
12
2011
Mean value theorems for binary Egyptian fractions. Zbl 1239.11038
Huang, Jingjing; Vaughan, Robert C.
4
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
Chen, W. W. L. (ed.); Gowers, W. T. (ed.); Halberstam, H. (ed.); Schmidt, W. M. (ed.); Vaughan, R. C. (ed.)
2
2009
On the number of partitions into primes. Zbl 1154.11035
Vaughan, R. C.
6
2008
Multiplicative number theory. I. Classical theory. Zbl 1142.11001
Montgomery, Hugh L.; Vaughan, Robert C.
246
2007
Diophantine approximation on planar curves: the convergence theory. Zbl 1185.11047
Vaughan, R. C.; Velani, S.
31
2006
A variance for \(k\)-free numbers in arithmetic progressions. Zbl 1117.11052
Vaughan, R. C.
4
2005
A mean value theorem for cubic fields. Zbl 1053.11082
Vaughan, R. C.
1
2003
Waring’s problem: a survey. Zbl 1044.11090
Vaughan, R. C.; Wooley, T. D.
24
2002
Mean values of multiplicative functions. Zbl 0980.11043
Montgomery, H. L.; Vaughan, R. C.
15
2001
On a variance associated with the distribution of primes in arithmetic progressions. Zbl 1037.11060
Vaughan, R. C.
10
2001
Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092
Vaughan, R. C.; Wooley, T. D.
9
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.
4
1998
On a variance associated with the distribution of general sequences in arithmetic progressions. II. Zbl 0902.11040
Vaughan, R. C.
2
1998
The Hardy-Littlewood method. 2nd ed. Zbl 0868.11046
Vaughan, R. C.
217
1997
A special case of Vinogradov’s mean value theorem. Zbl 0887.11042
Vaughan, R. C.; Wooley, T. D.
7
1997
On the Montgomery-Hooley asymptotic formula. Zbl 0929.11034
Goldston, D. A.; Vaughan, R. C.
2
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.
21
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.
9
1991
On a problem related to one of Littlewood and Offord. Zbl 0751.11021
Vaughan, R. C.; Wooley, T. D.
2
1991
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.
9
1990
A new iterative method in Waring’s problem. Zbl 0665.10033
Vaughan, R. C.
62
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.
30
1986
On Waring’s problem for smaller exponents. II. Zbl 0601.10037
Vaughan, R. C.
18
1986
On Waring’s problem for smaller exponents. Zbl 0601.10035
Vaughan, R. C.
13
1986
On the distribution of reduced residues. Zbl 0591.10042
Montgomery, H. L.; Vaughan, R. C.
12
1986
On Waring’s problem for sixth powers. Zbl 0601.10036
Vaughan, R. C.
6
1986
On Waring’s problem: One square and five cubes. Zbl 0589.10047
Vaughan, R. C.
5
1986
Sums of three cubes. Zbl 0562.10022
Vaughan, R. C.
23
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.
2
1985
The Hardy-Littlewood method. (Metod Khardi-Littlvuda). Transl. from the English. Zbl 0599.10040
Vaughan, R. C.
1
1985
Sur le problème de Waring pour les cubes. (On Waring’s problem for cubes). Zbl 0589.10050
Vaughan, Robert 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.
3
1984
On sums of primes. Zbl 0516.10044
Riesel, H.; Vaughan, R. C.
11
1983
An analytic inequality. Zbl 0577.26014
Hinkkanen, A.; Vaughan, R. C.
1
1983
The Hardy-Littlewood method. Zbl 0455.10034
Vaughan, R. C.
95
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.
34
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.
22
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.
59
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.
30
1977
On the order of magnitude of Jacobsthal’s function. Zbl 0367.10043
Vaughan, R. C.
5
1977
On the estimation of Schnirelman’s constant. Zbl 0344.10028
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.
12
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.
63
1975
Mean value theorems in prime number theory. Zbl 0314.10028
Vaughan, R. C.
25
1975
Bounds for the coefficients of cyclotomic polynomials. Zbl 0304.10008
Vaughan, R. C.
5
1975
Hilbert’s inequality. Zbl 0281.10021
Montgomery, H. L.; Vaughan, R. C.
116
1974
Diophantine approximation by prime numbers. II. Zbl 0276.10031
Vaughan, R. C.
29
1974
Diophantine approximation by prime numbers. I. Zbl 0274.10045
Vaughan, R. C.
28
1974
Bounds for the r-th coefficients of cyclotomic polynomials. Zbl 0295.10014
Erdős, Paul; Vaughan, R. C.
7
1974
The large sieve. Zbl 0296.10023
Montgomery, H. L.; Vaughan, R. C.
115
1973
Error terms in additive prime number theory. Zbl 0257.10027
Montgomery, H. L.; Vaughan, R. C.
31
1973
Some applications of Montgomery’s sieve. Zbl 0266.10041
Vaughan, R. C.
7
1973
On the number of solutions of the equation \(p\) + \(n_1\)…\(n_k\) = N. Zbl 0254.10041
Vaughan, R. C.
2
1973
A remark on the divisor function d(n). Zbl 0252.10008
Vaughan, R. C.
2
1973
...and 7 more Documents
all top 5

Cited by 1,034 Authors

38 Brüdern, Jörg
38 Wooley, Trevor D.
24 Vaughan, Robert C.
23 Shparlinski, Igor E.
20 Perelli, Alberto
17 Harman, Glyn
15 Luca, Florian
15 Tenenbaum, Gérald
14 Lu, Guangshi
13 Languasco, Alessandro
12 Baker, Roger C.
12 Banks, William D.
12 Ramaré, Olivier
11 Granville, Andrew James
11 Pollack, Paul
11 Sankaranarayanan, Ayyadurai
11 Zaccagnini, Alessandro
11 Zhao, Lilu
10 Kumchev, Angel V.
10 Pintz, Janos
9 Beresnevich, Victor V.
9 Harper, Adam J.
9 Huang, Jingjing
9 Laurinčikas, Antanas
9 Liu, Ming-Chit
9 Liu, Zhixin
9 Montgomery, Hugh Lowell
9 Parsell, Scott T.
9 Pomerance, Carl Bernard
9 Soundararajan, Kannan
9 Tao, Terence
9 Wu, Jie
8 Baier, Stephan
8 Bourgain, Jean
8 Cai, Yingchun
8 Friedlander, John Benjamin
8 Ge, Wenxu
8 Heath-Brown, Roger
8 Vaughan, R. C.
8 Velani, Sanju L.
7 Balog, Antal
7 de la Bretèche, Régis
7 Fomenko, Oleg Mstislavovich
7 Goldston, Daniel Alan
7 Gonek, Steven M.
7 Güloğlu, Ahmet Muhtar
7 Iwaniec, Henryk
7 Li, Jinjiang
7 Liu, Jianya
7 Martin, Greg
7 Mu, Quanwu
7 Tsang, Kai-Man
7 Zaharescu, Alexandru
7 Zhang, Min
7 Zhao, Liangyi
6 Akbal, Yıldırım
6 Alkan, Emre
6 Carneiro, Emanuel
6 Chow, Sam
6 Dietmann, Rainer
6 Elsholtz, Christian
6 Green, Ben Joseph
6 Kawada, Koichi
6 Lamzouri, Youness
6 Milinovich, Micah B.
6 Murty, Maruti Ram
6 Ng, Nathan C.
6 Ramachandra, Kanakanahalli
6 Vaaler, Jeffrey D.
6 Wolke, Dieter
5 Bazzanella, Danilo
5 Bombieri, Enrico
5 Chamizo Lorente, Fernando
5 Cochrane, Todd
5 Conrey, John Brian
5 Cook, Richard J.
5 Diamond, Harold George
5 Dubickas, Artūras
5 Dudek, Adrian W.
5 Garaev, Moubariz Z.
5 Halupczok, Karin
5 Jiang, Yujiao
5 Kaczorowski, Jerzy
5 Kerr, Bryce
5 Li, Wei Ping
5 Liu, Yu-Ru
5 Pongsriiam, Prapanpong
5 Rivat, Joël
5 Seip, Kristian
5 Steuding, Jörn
5 Tolev, Doychin I.
5 Xiao, Xuanxuan
5 Zhang, Wenpeng
5 Zheng, Zhiyong
4 Balasubramanian, Ramachandran
4 Bary-Soroker, Lior
4 Bauer, Claus
4 Bernik, Vasiliĭ Ivanovich
4 Bhowmik, Gautami
4 Bibak, Khodakhast
...and 934 more Authors
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Cited in 192 Serials

195 Journal of Number Theory
71 Mathematika
55 International Journal of Number Theory
43 Journal de Théorie des Nombres de Bordeaux
38 The Ramanujan Journal
30 Monatshefte für Mathematik
30 Acta Mathematica Hungarica
29 Acta Arithmetica
28 Proceedings of the American Mathematical Society
28 Transactions of the American Mathematical Society
26 Mathematical Proceedings of the Cambridge Philosophical Society
25 Advances in Mathematics
24 Functiones et Approximatio. Commentarii Mathematici
23 Mathematics of Computation
21 Mathematische Zeitschrift
19 Mathematical Notes
19 Duke Mathematical Journal
15 Journal of Mathematical Analysis and Applications
14 Lithuanian Mathematical Journal
14 Rocky Mountain Journal of Mathematics
14 Archiv der Mathematik
13 Indagationes Mathematicae. New Series
12 Mathematische Annalen
11 Israel Journal of Mathematics
11 Acta Mathematica
10 Annales de l’Institut Fourier
10 Compositio Mathematica
10 Glasgow Mathematical Journal
10 Inventiones Mathematicae
10 Acta Mathematica Sinica. English Series
10 Proceedings of the Steklov Institute of Mathematics
9 Journal für die Reine und Angewandte Mathematik
8 Michigan Mathematical Journal
8 Journal of the American Mathematical Society
8 Bulletin of the American Mathematical Society. New Series
8 Journal of Mathematical Sciences (New York)
8 Annals of Mathematics. Second Series
8 Frontiers of Mathematics in China
7 Bulletin of the Australian Mathematical Society
7 Journal d’Analyse Mathématique
7 Periodica Mathematica Hungarica
7 Manuscripta Mathematica
7 Nagoya Mathematical Journal
7 Proceedings of the London Mathematical Society. Third Series
7 Linear Algebra and its Applications
7 Experimental Mathematics
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Finite Fields and their Applications
6 Integers
6 Journal of the Australian Mathematical Society
6 Chebyshevskiĭ Sbornik
6 Science China. Mathematics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Journal of the London Mathematical Society. Second Series
5 European Journal of Combinatorics
5 Forum Mathematicum
5 Geometric and Functional Analysis. GAFA
5 Acta Mathematica Sinica. New Series
5 Taiwanese Journal of Mathematics
5 Journal of Inequalities and Applications
5 Journal of Integer Sequences
5 Research in the Mathematical Sciences
5 Research in Number Theory
4 Discrete 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 Functional Analysis
4 Journal of Soviet Mathematics
4 Proceedings of the Japan Academy. Series A
4 Chinese Annals of Mathematics. Series B
4 Science in China. Series A
4 Journal of the European Mathematical Society (JEMS)
4 Central European Journal of Mathematics
4 Algebra & Number Theory
3 Moscow University Mathematics Bulletin
3 Journal of Differential Equations
3 Journal of Symbolic Computation
3 Probability Theory and Related Fields
3 Expositiones Mathematicae
3 Integral Transforms and Special Functions
3 The Journal of Fourier Analysis and Applications
3 Doklady Mathematics
2 Communications in Algebra
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 Journal of Pure and Applied Algebra
2 Osaka Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Acta Applicandae Mathematicae
2 Graphs and Combinatorics
2 Revista Matemática Iberoamericana
2 Random Structures & Algorithms
2 Designs, Codes and Cryptography
2 Annales Mathématiques Blaise Pascal
...and 92 more Serials
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Cited in 44 Fields

1,220 Number theory (11-XX)
37 Algebraic geometry (14-XX)
36 Harmonic analysis on Euclidean spaces (42-XX)
34 Combinatorics (05-XX)
27 Probability theory and stochastic processes (60-XX)
22 Dynamical systems and ergodic theory (37-XX)
21 Functions of a complex variable (30-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Group theory and generalizations (20-XX)
14 Computer science (68-XX)
13 Measure and integration (28-XX)
11 History and biography (01-XX)
9 Real functions (26-XX)
9 Approximations and expansions (41-XX)
8 Operator theory (47-XX)
8 Information and communication theory, circuits (94-XX)
7 Special functions (33-XX)
7 Partial differential equations (35-XX)
6 Abstract harmonic analysis (43-XX)
6 Quantum theory (81-XX)
5 Field theory and polynomials (12-XX)
5 Commutative algebra (13-XX)
5 Functional analysis (46-XX)
5 Convex and discrete geometry (52-XX)
5 Differential geometry (53-XX)
5 Manifolds and cell complexes (57-XX)
5 Numerical analysis (65-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 Statistics (62-XX)
2 Relativity and gravitational theory (83-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 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Fluid mechanics (76-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

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