Edit Profile (opens in new tab) Vaughan, Robert C. Compute Distance To: Compute Author ID: vaughan.robert-c Published as: Vaughan, R. C.; Vaughan, Robert C.; Vaughan, Robert; Vaughan, Bob more...less Homepage: http://www.personal.psu.edu/rcv4/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 137 Publications since 1970, including 6 Books 6 Contributions as Editor · 3 Further Contributions Co-Authors: 37 Co-Authors with 71 Joint Publications 1,214 Co-Co-Authors all top 5 Co-Authors 71 single-authored 20 Montgomery, Hugh Lowell 17 Wooley, Trevor D. 7 Brüdern, Jörg 6 Velani, Sanju L. 5 Beresnevich, Victor V. 4 Chen, William Wai Lim 3 Huang, Jingjing 3 Pongsriiam, Prapanpong 3 Saffari, Bahman 2 Erdős, Pál 2 Halberstam, Heini 2 Hanson, Brandon 2 Pollington, Andrew Douglas 2 Roth, Klaus Friedrich 2 Schmidt, Wolfgang M. 2 Zorin, Evgeniy V. 1 Alladi, Krishnaswami 1 Banks, William David 1 Bateman, Paul Trevier 1 Brandes, Julia 1 Browning, Timothy Daniel 1 Cassels, John William Scott 1 Davenport, Harold 1 Dickinson, Detta 1 Freeman, D. Eric 1 Goldston, Daniel Alan 1 Gowers, William Timothy 1 Granville, Andrew James 1 Güloğlu, Ahmet Muhtar 1 Heath-Brown, Roger 1 Ingham, Albert Edward 1 Loxton, John H. 1 Matomäki, Kaisa Sofia 1 Ono, Ken 1 Parsell, Scott T. 1 Perelli, Alberto 1 Pomerance, Carl Bernard 1 Poulias, C. 1 Riesel, Hans 1 Shakan, George 1 Soundararajan, Kannan 1 Warnaar, S. Ole 1 Weis, Kevin L. 1 Zhang, Ruixiang all top 5 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 2 European Journal of 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 Cambridge Tracts in Mathematics and Mathematical Physics 1 Cambridge Mathematical Library all top 5 Fields 139 Number theory (11-XX) 9 History and biography (01-XX) 6 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 2,228 times in 1,593 Documents Cited by ▼ Year ▼ Multiplicative number theory. I. Classical theory. Zbl 1142.11001Montgomery, Hugh L.; Vaughan, Robert C. 332 2007 The Hardy-Littlewood method. 2nd ed. Zbl 0868.11046Vaughan, R. C. 266 1997 The large sieve. Zbl 0296.10023Montgomery, H. L.; Vaughan, R. C. 148 1973 Hilbert’s inequality. Zbl 0281.10021Montgomery, H. L.; Vaughan, R. C. 132 1974 The Hardy-Littlewood method. Zbl 0455.10034Vaughan, R. C. 97 1981 The distribution of prime numbers. Paperback edition. Zbl 0715.11045Ingham, A. E. 74 1990 The exceptional set in Goldbach’s problem. Zbl 0301.10043Montgomery, H. L.; Vaughan, R. C. 71 1975 Exponential sums with multiplicative coefficients. Zbl 0362.10036Montgomery, H. L.; Vaughan, R. C. 69 1977 A new iterative method in Waring’s problem. Zbl 0665.10033Vaughan, R. C. 67 1989 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 1137.11048Beresnevich, Victor; Dickinson, Detta; Velani, Sanju 50 2007 An elementary method in prime number theory. Zbl 0448.10037Vaughan, R. C. 43 1980 On the fractional parts of {x/n} and related sequences. II, III. Zbl 0379.10023Saffari, B.; Vaughan, R. C. 38 1977 Diophantine approximation on planar curves: the convergence theory. Zbl 1185.11047Vaughan, R. C.; Velani, S. 38 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 1125.11018Davenport, Harold 38 2005 Trigonometric sums over prime numbers. (Sommes trigonométriques sur les nombres premiers.) Zbl 0374.10025Vaughan, Robert C. 36 1977 Diophantine approximation by prime numbers. I. Zbl 0274.10045Vaughan, R. C. 34 1974 Diophantine approximation by prime numbers. II. Zbl 0276.10031Vaughan, R. C. 34 1974 On Waring’s problem for cubes. Zbl 0574.10046Vaughan, R. C. 33 1986 Waring’s problem: a survey. Zbl 1044.11090Vaughan, R. C.; Wooley, T. D. 33 2002 Error terms in additive prime number theory. Zbl 0257.10027Montgomery, H. L.; Vaughan, R. C. 32 1973 On the distribution of \(\alpha p\) modulo 1. Zbl 0374.10031Vaughan, R. C. 29 1978 Mean value theorems in prime number theory. Zbl 0314.10028Vaughan, R. C. 27 1975 Sums of three cubes. Zbl 0562.10022Vaughan, R. C. 24 1985 Further improvements in Waring’s problem. Zbl 0849.11075Vaughan, Robert C.; Wooley, Trevor D. 23 1995 Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002Montgomery, Hugh L; Vaughan, Robert C. 19 2012 On Waring’s problem for smaller exponents. II. Zbl 0601.10037Vaughan, R. C. 19 1986 Mean values of multiplicative functions. Zbl 0980.11043Montgomery, H. L.; Vaughan, R. C. 19 2001 On Waring’s problem for smaller exponents. Zbl 0601.10035Vaughan, R. C. 18 1986 The k-dimensional Duffin and Schaeffer conjecture. Zbl 0715.11036Pollington, A. D.; Vaughan, R. C. 18 1990 Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040Montgomery, H. L.; Vaughan, R. C. 17 1999 Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory. Zbl 1405.11095Beresnevich, Victor; Vaughan, Robert C.; Velani, Sanju; Zorin, Evgeniy 16 2017 On sums of primes. Zbl 0516.10044Riesel, H.; Vaughan, R. C. 15 1983 The estimation of complete exponential sums. Zbl 0575.10033Loxton, J. H.; Vaughan, R. C. 15 1985 On the distribution of reduced residues. Zbl 0591.10042Montgomery, H. L.; Vaughan, R. C. 15 1986 Inhomogeneous Diophantine approximation on planar curves. Zbl 1221.11158Beresnevich, V. V.; Vaughan, R. C.; Velani, S. L. 14 2011 Diophantine approximation by prime numbers. III. Zbl 0327.10031Vaughan, R. C. 14 1976 On a problem of Erdős, Straus and Schinzel. Zbl 0219.10023Vaughan, R. C. 13 1970 On the representation of numbers as sums of powers of natural numbers. Zbl 0206.06103Vaughan, R. C. 12 1970 Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092Vaughan, R. C.; Wooley, T. D. 12 2000 On a variance associated with the distribution of primes in arithmetic progressions. Zbl 1037.11060Vaughan, R. C. 12 2001 On Waring’s problem for cubes. II. Zbl 0677.10034Vaughan, R. C. 12 1989 On Waring’s problem: Some refinements. Zbl 0736.11058Vaughan, R. C.; Wooley, T. D. 11 1991 On a certain nonary cubic form and related equations. Zbl 0847.11052Vaughan, R. C.; Wooley, T. D. 11 1995 On sums of mixed powers. Zbl 0221.10050Vaughan, R. C. 11 1971 On the Erdős-Fuchs theorems. Zbl 0715.11005Montgomery, H. L.; Vaughan, R. C. 11 1990 A special case of Vinogradov’s mean value theorem. Zbl 0887.11042Vaughan, R. C.; Wooley, T. D. 10 1997 The divisor function on residue classes. I. Zbl 1325.11100Pongsriiam, Prapanpong; Vaughan, Robert C. 10 2015 Squares: additive questions and partitions. Zbl 1334.11080Vaughan, Robert C. 10 2015 Mean values of character sums. Zbl 0416.10030Montgomery, H. L.; Vaughan, R. C. 9 1979 Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D. 9 1995 Bounds for the r-th coefficients of cyclotomic polynomials. Zbl 0295.10014Erdős, Paul; Vaughan, R. C. 9 1974 Bounds for the coefficients of cyclotomic polynomials. Zbl 0304.10008Vaughan, R. C. 9 1975 On the number of partitions into primes. Zbl 1154.11035Vaughan, R. C. 9 2008 On the exponential sum over \(k\)-free numbers. Zbl 0922.11071Brüdern, J.; Granville, A.; Perelli, A.; Vaughan, R. C.; Wooley, T. D. 8 1998 On the addition of sequences of integers. Zbl 0226.10058Vaughan, R. C. 8 1972 Some applications of Montgomery’s sieve. Zbl 0266.10041Vaughan, R. C. 8 1973 On the Montgomery-Hooley asymptotic formula. Zbl 0929.11034Goldston, D. A.; Vaughan, R. C. 8 1997 A variance for \(k\)-free numbers in arithmetic progressions. Zbl 1117.11052Vaughan, R. C. 8 2005 A new iterative method in Waring’s problem. II. Zbl 0677.10035Vaughan, R. C. 8 1989 On the eigenvalues of Redheffer’s matrix. II. Zbl 0877.15021Vaughan, R. C. 7 1996 On Goldbach’s problem. Zbl 0216.31603Vaughan, R. C. 7 1972 A ternary additive problem. Zbl 0446.10042Vaughan, R. C. 6 1980 The distribution of squarefree numbers. Zbl 0462.10029Montgomery, H. L.; Vaughan, R. C. 6 1981 On the distribution of generating functions. Zbl 0934.11037Vaughan, R. C.; Wooley, T. D. 6 1998 On a variance associated with the distribution of general sequences in arithmetic progressions. I. Zbl 0902.11039Vaughan, R. C. 6 1998 On generating functions in additive number theory. I. Zbl 1221.11174Vaughan, R. C. 6 2009 On the order of magnitude of Jacobsthal’s function. Zbl 0367.10043Vaughan, R. C. 6 1977 Further improvements in Waring’s problem. II: Sixth powers. Zbl 0849.11076Vaughan, R. C.; Wooley, T. D. 6 1994 Mean value theorems for binary Egyptian fractions. Zbl 1239.11038Huang, Jingjing; Vaughan, Robert C. 6 2011 On Waring’s problem: One square and five cubes. Zbl 0589.10047Vaughan, R. C. 6 1986 On Waring’s problem for sixth powers. Zbl 0601.10036Vaughan, R. C. 6 1986 On the eigenvalues of Redheffer’s matrix. I. Zbl 0794.15010Vaughan, R. C. 6 1993 On a variance associated with the distribution of general sequences in arithmetic progressions. II. Zbl 0902.11040Vaughan, R. C. 5 1998 Some remarks on Weyl sums. Zbl 0545.10024Vaughan, R. C. 5 1984 On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010Bateman, P. T.; Pomerance, C.; Vaughan, R. C. 5 1984 On the estimation of Schnirelman’s constant. Zbl 0344.10028Vaughan, R. C. 5 1977 On pairs of additive cubic equations. Zbl 0341.10044Vaughan, R. C. 4 1977 The \(L^ 1\) mean of exponential sums over primes. Zbl 0639.10025Vaughan, R. C. 4 1988 The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009Montgomery, H. L.; Vaughan, R. C. 4 1985 Further improvements in Waring’s problem. III: Eighth powers. Zbl 0849.11077Vaughan, R. C.; Wooley, T. D. 4 1993 On the fractional parts of \(x/n\) and related sequences. I. Zbl 0343.10019Saffari, Bahman; Vaughan, R. C. 4 1976 Waring’s problem for Beatty sequences and a local to global principle. Zbl 1303.11110Banks, William D.; Güloğlu, Ahmet M.; Vaughan, Robert C. 4 2014 The general Goldbach problem with Beatty primes. Zbl 1387.11072Vaughan, R. C. 4 2014 On the exceptional set for binary Egyptian fractions. Zbl 1357.11043Huang, Jing-Jing; Vaughan, Robert C. 4 2013 An elementary method in prime number theory. Zbl 0483.10041Vaughan, R. C. 3 1981 Inefficiency in packing squares with unit squares. Zbl 0373.05026Roth, Klaus F.; Vaughan, R. C. 3 1978 Small values of Dirichlet \(L\)-functions at 1. Zbl 0853.11073Vaughan, R. C. 3 1996 On a problem related to one of Littlewood and Offord. Zbl 0751.11021Vaughan, R. C.; Wooley, T. D. 3 1991 Mean value theorems for binary Egyptian fractions. II. Zbl 1272.11049Huang, Jing-Jing; Vaughan, Robert C. 3 2012 Diophantine approximation on manifolds and lower bounds for Hausdorff dimension. Zbl 1400.11118Beresnevich, Victor; Lee, Lawrence; Vaughan, Robert C.; Velani, Sanju 3 2017 The divisor function on residue classes. II. Zbl 1439.11255Pongsriiam, Prapanpong; Vaughan, Robert C. 3 2018 A survey of some important problems in additive number theory. Zbl 0401.10054Vaughan, R. C. 2 1979 On generating functions in additive number theory. II: Lower-order terms and applications to PDEs. Zbl 1466.11053Brandes, J.; Parsell, S. T.; Poulias, C.; Shakan, G.; Vaughan, R. C. 2 2021 Homogeneous additive equations and Waring’s problem. Zbl 0361.10046Vaughan, R. C. 2 1977 A remark on the divisor function d(n). Zbl 0252.10008Vaughan, R. C. 2 1973 On the number of solutions of the equation \(p\) = \(a\) + \(n_1\)…\(n_k\) with \(a<p \leq x\). Zbl 0254.10040Vaughan, R. C. 2 1972 On the number of solutions of the equation \(p\) + \(n_1\)…\(n_k\) = N. Zbl 0254.10041Vaughan, R. C. 2 1973 A note on Snirel’man’s approach to Goldbach’s problem. Zbl 0336.10046Vaughan, R. C. 2 1976 Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Zbl 1155.11004 2 2009 Moments for primes in arithmetic progressions. I, II. Zbl 1053.11078Vaughan, R. C. 2 2003 On generating functions in additive number theory. II: Lower-order terms and applications to PDEs. Zbl 1466.11053Brandes, J.; Parsell, S. T.; Poulias, C.; Shakan, G.; Vaughan, R. C. 2 2021 A Montgomery-Hooley theorem for sums of two cubes. Zbl 1505.11022Brüdern, Jörg; Vaughan, Robert C. 1 2021 The divisor function on residue classes. III. Zbl 1482.11131Pongsriiam, Prapanpong; Vaughan, Robert C. 1 2021 Analytic number theory. Abstracts from the workshop held November 3–9, 2019. Zbl 1454.00048 1 2019 The divisor function on residue classes. II. Zbl 1439.11255Pongsriiam, Prapanpong; Vaughan, Robert C. 3 2018 The asymptotic formula in Waring’s problem: higher order expansions. Zbl 1415.11123Vaughan, Robert C.; Wooley, Trevor D. 2 2018 Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory. Zbl 1405.11095Beresnevich, Victor; Vaughan, Robert C.; Velani, Sanju; Zorin, Evgeniy 16 2017 Diophantine approximation on manifolds and lower bounds for Hausdorff dimension. Zbl 1400.11118Beresnevich, Victor; Lee, Lawrence; Vaughan, Robert C.; Velani, Sanju 3 2017 In memoriam Klaus Friedrich Roth 1925–2015. Zbl 1384.01045Chen, William W. L.; Vaughan, Robert C. 1 2017 Goldbach’s conjectures: a historical perspective. Zbl 1403.11065Vaughan, Robert C. 1 2016 The divisor function on residue classes. I. Zbl 1325.11100Pongsriiam, Prapanpong; Vaughan, Robert C. 10 2015 Squares: additive questions and partitions. Zbl 1334.11080Vaughan, Robert C. 10 2015 Zeros of Dirichlet series. Zbl 1331.11069Vaughan, R. C. 2 2015 Waring’s problem for Beatty sequences and a local to global principle. Zbl 1303.11110Banks, William D.; Güloğlu, Ahmet M.; Vaughan, Robert C. 4 2014 The general Goldbach problem with Beatty primes. Zbl 1387.11072Vaughan, R. C. 4 2014 Integer points on elliptic curves. Zbl 1311.11048Vaughan, R. C. 2 2014 On the exceptional set for binary Egyptian fractions. Zbl 1357.11043Huang, Jing-Jing; Vaughan, Robert C. 4 2013 Srinivasa Ramanujan: going strong at 125. II. Zbl 1292.33002Ono, Ken; Soundararajan, K.; Vaughan, R. C.; Warnaar, S. Ole 1 2013 Multiplicative number theory. I. Classical theory. Reprint of the 2007 hardback edition. Zbl 1245.11002Montgomery, Hugh L; Vaughan, Robert C. 19 2012 Mean value theorems for binary Egyptian fractions. II. Zbl 1272.11049Huang, Jing-Jing; Vaughan, Robert C. 3 2012 Inhomogeneous Diophantine approximation on planar curves. Zbl 1221.11158Beresnevich, V. V.; Vaughan, R. C.; Velani, S. L. 14 2011 Mean value theorems for binary Egyptian fractions. Zbl 1239.11038Huang, Jingjing; Vaughan, Robert C. 6 2011 On generating functions in additive number theory. I. Zbl 1221.11174Vaughan, R. C. 6 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 1154.11035Vaughan, R. C. 9 2008 Multiplicative number theory. I. Classical theory. Zbl 1142.11001Montgomery, Hugh L.; Vaughan, Robert C. 332 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 1137.11048Beresnevich, Victor; Dickinson, Detta; Velani, Sanju 50 2007 Diophantine approximation on planar curves: the convergence theory. Zbl 1185.11047Vaughan, R. C.; Velani, S. 38 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 1125.11018Davenport, Harold 38 2005 A variance for \(k\)-free numbers in arithmetic progressions. Zbl 1117.11052Vaughan, R. C. 8 2005 Moments for primes in arithmetic progressions. I, II. Zbl 1053.11078Vaughan, R. C. 2 2003 A mean value theorem for cubic fields. Zbl 1053.11082Vaughan, R. C. 1 2003 Waring’s problem: a survey. Zbl 1044.11090Vaughan, R. C.; Wooley, T. D. 33 2002 Mean values of multiplicative functions. Zbl 0980.11043Montgomery, H. L.; Vaughan, R. C. 19 2001 On a variance associated with the distribution of primes in arithmetic progressions. Zbl 1037.11060Vaughan, R. C. 12 2001 On sigma-phi numbers. Zbl 1040.11066Vaughan, Robert C.; Weis, Kevin L. 1 2001 Further improvements in Waring’s problem. IV: Higher powers. Zbl 0972.11092Vaughan, R. C.; Wooley, T. D. 12 2000 Extreme values of Dirichlet \(L\)-functions at 1. Zbl 0942.11040Montgomery, H. L.; Vaughan, R. C. 17 1999 On the exponential sum over \(k\)-free numbers. Zbl 0922.11071Brüdern, J.; Granville, A.; Perelli, A.; Vaughan, R. C.; Wooley, T. D. 8 1998 On the distribution of generating functions. Zbl 0934.11037Vaughan, R. C.; Wooley, T. D. 6 1998 On a variance associated with the distribution of general sequences in arithmetic progressions. I. Zbl 0902.11039Vaughan, R. C. 6 1998 On a variance associated with the distribution of general sequences in arithmetic progressions. II. Zbl 0902.11040Vaughan, R. C. 5 1998 The Hardy-Littlewood method. 2nd ed. Zbl 0868.11046Vaughan, R. C. 266 1997 A special case of Vinogradov’s mean value theorem. Zbl 0887.11042Vaughan, R. C.; Wooley, T. D. 10 1997 On the Montgomery-Hooley asymptotic formula. Zbl 0929.11034Goldston, D. A.; Vaughan, R. C. 8 1997 On the eigenvalues of Redheffer’s matrix. II. Zbl 0877.15021Vaughan, R. C. 7 1996 Small values of Dirichlet \(L\)-functions at 1. Zbl 0853.11073Vaughan, R. C. 3 1996 Further improvements in Waring’s problem. Zbl 0849.11075Vaughan, Robert C.; Wooley, Trevor D. 23 1995 On a certain nonary cubic form and related equations. Zbl 0847.11052Vaughan, R. C.; Wooley, T. D. 11 1995 Some remarks on Gauss sums associated with \(k\)th powers. Zbl 0835.11032Montgomery, H. L.; Vaughan, R. C.; Wooley, T. D. 9 1995 Further improvements in Waring’s problem. II: Sixth powers. Zbl 0849.11076Vaughan, R. C.; Wooley, T. D. 6 1994 Obituary: Theodor Estermann. Zbl 0820.01015Roth, Klaus F.; Vaughan, R. C. 1 1994 On the eigenvalues of Redheffer’s matrix. I. Zbl 0794.15010Vaughan, R. C. 6 1993 Further improvements in Waring’s problem. III: Eighth powers. Zbl 0849.11077Vaughan, R. C.; Wooley, T. D. 4 1993 On Waring’s problem: Some refinements. Zbl 0736.11058Vaughan, R. C.; Wooley, T. D. 11 1991 On a problem related to one of Littlewood and Offord. Zbl 0751.11021Vaughan, R. C.; Wooley, T. D. 3 1991 The distribution of prime numbers. Paperback edition. Zbl 0715.11045Ingham, A. E. 74 1990 The k-dimensional Duffin and Schaeffer conjecture. Zbl 0715.11036Pollington, A. D.; Vaughan, R. C. 18 1990 On the Erdős-Fuchs theorems. Zbl 0715.11005Montgomery, H. L.; Vaughan, R. C. 11 1990 A new iterative method in Waring’s problem. Zbl 0665.10033Vaughan, R. C. 67 1989 On Waring’s problem for cubes. II. Zbl 0677.10034Vaughan, R. C. 12 1989 A new iterative method in Waring’s problem. II. Zbl 0677.10035Vaughan, R. C. 8 1989 The \(k\)-dimensional Duffin and Schaeffer conjecture. Zbl 0714.11048Pollington, A. D.; Vaughan, R. C. 2 1989 The \(L^ 1\) mean of exponential sums over primes. Zbl 0639.10025Vaughan, R. C. 4 1988 On Waring’s problem for cubes. Zbl 0574.10046Vaughan, R. C. 33 1986 On Waring’s problem for smaller exponents. II. Zbl 0601.10037Vaughan, R. C. 19 1986 On Waring’s problem for smaller exponents. Zbl 0601.10035Vaughan, R. C. 18 1986 On the distribution of reduced residues. Zbl 0591.10042Montgomery, H. L.; Vaughan, R. C. 15 1986 On Waring’s problem: One square and five cubes. Zbl 0589.10047Vaughan, R. C. 6 1986 On Waring’s problem for sixth powers. Zbl 0601.10036Vaughan, R. C. 6 1986 Sums of three cubes. Zbl 0562.10022Vaughan, R. C. 24 1985 The estimation of complete exponential sums. Zbl 0575.10033Loxton, J. H.; Vaughan, R. C. 15 1985 The order of magnitude of the mth coefficients of cyclotomic polynomials. Zbl 0577.10009Montgomery, H. L.; Vaughan, R. C. 4 1985 Obituary: Ivan Matveevich Vinogradov. Zbl 0578.01029Cassels, J. W. S.; Vaughan, R. C. 1 1985 Sur le problème de Waring pour les cubes. (On Waring’s problem for cubes). Zbl 0589.10050Vaughan, Robert C. 1 1985 The Hardy-Littlewood method. (Metod Khardi-Littlvuda). Transl. from the English. Zbl 0599.10040Vaughan, R. C. 1 1985 Some remarks on Weyl sums. Zbl 0545.10024Vaughan, R. C. 5 1984 On the size of the coefficients of the cyclotomic polynomial. Zbl 0547.10010Bateman, P. T.; Pomerance, C.; Vaughan, R. C. 5 1984 On sums of primes. Zbl 0516.10044Riesel, H.; Vaughan, R. C. 15 1983 An analytic inequality. Zbl 0577.26014Hinkkanen, A.; Vaughan, R. C. 1 1983 The Hardy-Littlewood method. Zbl 0455.10034Vaughan, R. C. 97 1981 The distribution of squarefree numbers. Zbl 0462.10029Montgomery, H. L.; Vaughan, R. C. 6 1981 An elementary method in prime number theory. Zbl 0483.10041Vaughan, R. C. 3 1981 An elementary method in prime number theory. Zbl 0448.10037Vaughan, R. C. 43 1980 A ternary additive problem. Zbl 0446.10042Vaughan, R. C. 6 1980 Recent work in additive prime number theory. Zbl 0428.10026Vaughan, R. C. 1 1980 Mean values of character sums. Zbl 0416.10030Montgomery, H. L.; Vaughan, R. C. 9 1979 A survey of some important problems in additive number theory. Zbl 0401.10054Vaughan, R. C. 2 1979 On the asymptotic density of sets of integers. II. Zbl 0409.10043Erdős, Paul; Saffari, B.; Vaughan, R. C. 1 1979 On the distribution of \(\alpha p\) modulo 1. Zbl 0374.10031Vaughan, R. C. 29 1978 Inefficiency in packing squares with unit squares. Zbl 0373.05026Roth, Klaus F.; Vaughan, R. C. 3 1978 Exponential sums with multiplicative coefficients. Zbl 0362.10036Montgomery, H. L.; Vaughan, R. C. 69 1977 On the fractional parts of {x/n} and related sequences. II, III. Zbl 0379.10023Saffari, B.; Vaughan, R. C. 38 1977 Trigonometric sums over prime numbers. (Sommes trigonométriques sur les nombres premiers.) Zbl 0374.10025Vaughan, Robert C. 36 1977 On the order of magnitude of Jacobsthal’s function. Zbl 0367.10043Vaughan, R. C. 6 1977 On the estimation of Schnirelman’s constant. Zbl 0344.10028Vaughan, R. C. 5 1977 On pairs of additive cubic equations. Zbl 0341.10044Vaughan, R. C. 4 1977 Homogeneous additive equations and Waring’s problem. Zbl 0361.10046Vaughan, R. C. 2 1977 Diophantine approximation by prime numbers. III. Zbl 0327.10031Vaughan, R. C. 14 1976 On the fractional parts of \(x/n\) and related sequences. I. Zbl 0343.10019Saffari, Bahman; Vaughan, R. C. 4 1976 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,215 Authors 41 Wooley, Trevor D. 40 Brüdern, Jörg 36 Vaughan, Robert C. 25 Shparlinski, Igor E. 20 Perelli, Alberto 19 Luca, Florian 18 Harman, Glyn 15 Languasco, Alessandro 15 Lu, Guangshi 15 Pollack, Paul 15 Tenenbaum, Gérald 14 Banks, William David 14 Granville, Andrew James 14 Kumchev, Angel V. 14 Wu, Jie 13 Li, Jinjiang 13 Ramaré, Olivier 13 Zaccagnini, Alessandro 13 Zhang, Min 12 Baker, Roger C. 12 Beresnevich, Victor V. 12 Zhao, Liangyi 12 Zhao, Lilu 11 Baier, Stephan 11 Goldston, Daniel Alan 11 Martin, Greg 11 Pintz, Janos 11 Pomerance, Carl Bernard 11 Sankaranarayanan, Ayyadurai 11 Soundararajan, Kannan 10 de la Bretèche, Régis 10 Tao, Terence 10 Velani, Sanju L. 9 Ge, Wenxu 9 Harper, Adam J. 9 Huang, Jingjing 9 Lamzouri, Youness 9 Laurinčikas, Antanas 9 Liu, Ming-Chit 9 Liu, Zhixin 9 Montgomery, Hugh Lowell 9 Parsell, Scott T. 8 Bourgain, Jean 8 Cai, Yingchun 8 Chow, Sam 8 Friedlander, John Benjamin 8 Güloğlu, Ahmet Muhtar 8 Heath-Brown, Roger 8 Liu, Huafeng 8 Liu, Jianya 8 Mu, Quanwu 8 Murty, Maruti Ram 8 Ng, Nathan C. 8 Pongsriiam, Prapanpong 8 Zaharescu, Alexandru 7 Akbal, Yıldırım 7 Balog, Antal 7 Carneiro, Emanuel 7 Cochrane, Todd 7 Fomenko, Oleg Mstislavovich 7 Gao, Peng 7 Gonek, Steven M. 7 Halupczok, Karin 7 Iwaniec, Henryk 7 Milinovich, Micah B. 7 Suriajaya, Ade Irma 7 Trudgian, Timothy S. 7 Tsang, Kai-Man 6 Alkan, Emre 6 Aymone, Marco 6 Cho, Peter Jaehyun 6 Dietmann, Rainer 6 Elsholtz, Christian 6 Fouvry, Etienne 6 Green, Ben Joseph 6 Kawada, Koichi 6 Kiuchi, Isao 6 Li, Wei Ping 6 Liu, Yu-Ru 6 Matomäki, Kaisa Sofia 6 Ramachandra, Kanakanahalli 6 Rivat, Joël 6 Vaaler, Jeffrey D. 6 Wolke, Dieter 6 Xiao, Xuanxuan 6 Zhai, Wenguang 5 Bauer, Claus 5 Bazzanella, Danilo 5 Blomer, Valentin 5 Bombieri, Enrico 5 Browning, Timothy Daniel 5 Chamizo Lorente, Fernando 5 Conrey, John Brian 5 Diamond, Harold George 5 Dimitrov, Stoyan Ivanov 5 Ding, Yuchen 5 Dubickas, Artūras 5 Dudek, Adrian W. 5 Garaev, Moubariz Z. 5 Jiang, Yujiao ...and 1,115 more Authors all top 5 Cited in 226 Serials 210 Journal of Number Theory 75 International Journal of Number Theory 71 Mathematika 60 The Ramanujan Journal 47 Journal de Théorie des Nombres de Bordeaux 41 Acta Arithmetica 37 Proceedings of the American Mathematical Society 33 Monatshefte für Mathematik 33 Acta Mathematica Hungarica 32 Mathematical Proceedings of the Cambridge Philosophical Society 31 Transactions of the American Mathematical Society 30 Advances in Mathematics 29 Functiones et Approximatio. Commentarii Mathematici 28 Mathematics of Computation 27 Mathematische Zeitschrift 20 Duke Mathematical Journal 19 Mathematical Notes 18 Rocky Mountain Journal of Mathematics 17 Journal of Mathematical Analysis and Applications 17 Lithuanian Mathematical Journal 15 Archiv der Mathematik 15 Mathematische Annalen 14 Compositio Mathematica 14 Indagationes Mathematicae. New Series 12 Inventiones Mathematicae 12 Proceedings of the Steklov Institute of Mathematics 11 Israel Journal of Mathematics 11 Acta Mathematica 11 Annales de l’Institut Fourier 11 Journal für die Reine und Angewandte Mathematik 11 Acta Mathematica Sinica. English Series 10 Bulletin of the Australian Mathematical Society 10 Periodica Mathematica Hungarica 10 Glasgow Mathematical Journal 10 Integers 10 Frontiers of Mathematics in China 9 Journal d’Analyse Mathématique 9 Research in Number Theory 9 Discrete Analysis 8 Manuscripta Mathematica 8 Michigan Mathematical Journal 8 Nagoya 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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 8 Experimental Mathematics 8 Journal of Mathematical Sciences (New York) 8 Finite Fields and their Applications 8 Journal of Integer Sequences 8 Annals of Mathematics. Second Series 8 Journal of the Australian Mathematical Society 7 Discrete Mathematics 7 Proceedings of the London Mathematical Society. Third Series 7 Geometric and Functional Analysis. GAFA 7 Algebra & Number Theory 7 Science China. Mathematics 6 Indian Journal of Pure & Applied Mathematics 6 Journal of Functional Analysis 6 Expositiones Mathematicae 6 Chebyshevskiĭ Sbornik 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Canadian Mathematical Bulletin 5 Journal of the London Mathematical Society. Second Series 5 Forum Mathematicum 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 European Journal of Mathematics 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 the Korean Mathematical Society 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 The Journal of Fourier Analysis and Applications 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Moscow Journal of Combinatorics and Number Theory 4 Transactions of the American Mathematical Society. Series B 3 Communications in Algebra 3 Moscow University Mathematics Bulletin 3 Canadian Journal of Mathematics 3 Czechoslovak Mathematical Journal 3 Journal of Differential Equations 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Rendiconti del Seminario Matematico della Università di Padova 3 European Journal of Combinatorics 3 Journal of Symbolic Computation 3 Probability Theory and Related Fields 3 Revista Matemática Iberoamericana 3 The Electronic Journal of Combinatorics 3 Integral Transforms and Special Functions 3 Electronic Communications in Probability 3 Doklady Mathematics 3 Central European Journal of Mathematics 3 Involve ...and 126 more Serials all top 5 Cited in 48 Fields 1,503 Number theory (11-XX) 48 Harmonic analysis on Euclidean spaces (42-XX) 45 Combinatorics (05-XX) 43 Algebraic geometry (14-XX) 40 Probability theory and stochastic processes (60-XX) 27 Functions of a complex variable (30-XX) 25 Dynamical systems and ergodic theory (37-XX) 21 Measure and integration (28-XX) 19 Group theory and generalizations (20-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 16 Computer science (68-XX) 12 History and biography (01-XX) 11 Information and communication theory, circuits (94-XX) 10 Real functions (26-XX) 10 Approximations and expansions (41-XX) 9 Partial differential equations (35-XX) 8 Special functions (33-XX) 8 Operator theory (47-XX) 7 Numerical analysis (65-XX) 6 Commutative algebra (13-XX) 6 Abstract harmonic analysis (43-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 Mathematical logic and foundations (03-XX) 4 Manifolds and cell complexes (57-XX) 3 Topological groups, Lie groups (22-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Systems theory; control (93-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-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 Statistical mechanics, structure of matter (82-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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