Edit Profile (opens in new tab) Swinnerton-Dyer, Peter (b. 1927 d. 2018) Co-Author Distance Author ID: swinnerton-dyer.peter Published as: Swinnerton-Dyer, H. P. F.; Swinnerton-Dyer, Peter; Swinnerton-Dyer, P.; Swinnerton-Dyer, Sir Peter; Swinnterton-Dyer, H. P. F.; Dyer, P. S. more...less Further Spellings: Swinnerton-Dyer, Henry Peter Francis External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 110 Publications since 1943, including 2 Books 6 Further Contributions Biographic References: 4 Publications Co-Authors: 27 Co-Authors with 46 Joint Publications 522 Co-Co-Authors all top 5 Co-Authors 68 single-authored 9 Colliot-Thélène, Jean-Louis 7 Birch, Bryan John 5 Skorobogatov, Alexei Nikolaïevitch 4 Sansuc, Jean-Jacques 3 Atkin, Arthur Oliver Lonsdale 3 Barnes, E. S. 3 Cartwright, Mary Lucy 2 Cassels, John William Scott 2 Sparrow, Colin T. 2 Tate, John Torrence jun. 1 Artin, Michael 1 Atiyah, Michael Francis 1 Barron, D. W. 1 Beardon, Alan Frank 1 Beauville, Arnaud 1 Bender, Andreas O. 1 Bombieri, Enrico 1 Bright, Martin 1 Coghlan, F. B. 1 Coray, Daniel François 1 Croft, Hallard T. 1 Curtis, A. Robert 1 Davenport, Harold 1 Davenport, James Harold 1 de la Bretèche, Régis 1 Deligne, Pierre 1 Earle, Clifford J. 1 Fröhlich, Albrecht 1 Gruenberg, Karl Walter 1 Harvey, William James 1 Hasse, Helmut 1 Heilbronn, Hans Arnold 1 Hoechsmann, Klaus 1 Ieronymou, Evis 1 Kuyk, Willem 1 Lehner, Joseph 1 Lewis, Donald-J. 1 Macbeath, A. Murray 1 Marden, Albert 1 Martin, David W. 1 Maskit, Bernard 1 Mazur, Barry 1 Miller, Jeffrey Charles Percy 1 Pinch, Richard G. E. 1 Powell, M. J. P. 1 Pyke, H. H. M. 1 Rankin, F. K. C. 1 Rankin, Robert Alexander 1 Rogers, Kenneth 1 Roquette, Peter 1 Serre, Jean-Pierre 1 Shepherd-Barron, Nicholas Ian 1 Slater, John B. 1 Stephens, Nelson M. 1 Tingley, D. J. 1 Vajda, Steven 1 Vélu, Jacques 1 Wagenknecht, Thomas 1 Wall, Charles Terence Clegg 1 Walsh, Joan 1 Wilkinson, James Hardy 1 Zarkhin, Yuriĭ Gennad’evich all top 5 Serials 9 Mathematical Proceedings of the Cambridge Philosophical Society 7 Journal für die Reine und Angewandte Mathematik 7 Proceedings of the London Mathematical Society. Third Series 7 Proceedings of the Cambridge Philosophical Society 6 Journal of the London Mathematical Society. Second Series 5 Acta Arithmetica 3 Acta Mathematica 3 Bulletin of the London Mathematical Society 3 Inventiones Mathematicae 3 Journal of the London Mathematical Society 2 The Computer Journal. Section A / Section B 2 Journal of Differential Equations 2 Mathematika 2 Dynamics and Stability of Systems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Physics Letters. A 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales Polonici Mathematici 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Differential Equations 1 Journal of Number Theory 1 Michigan Mathematical Journal 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Transactions of the American Mathematical Society 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Lecture Notes in Mathematics 1 London Mathematical Society Lecture Note Series 1 London Mathematical Society Student Texts 1 Algebra & Number Theory all top 5 Fields 55 Algebraic geometry (14-XX) 54 Number theory (11-XX) 15 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 General and overarching topics; collections (00-XX) 2 Convex and discrete geometry (52-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,849 times in 1,536 Documents Cited by ▼ Year ▼ Algebraic number theory. Zbl 0153.07403 406 1967 Some properties of partitions. Zbl 0055.03805 Atkin, A. O. L.; Swinnerton-Dyer, P. 198 1954 Arithmetic of Weil curves. Zbl 0281.14016 Mazur, B.; Swinnerton-Dyer, P. 152 1974 Notes on elliptic curves. II. Zbl 0147.02506 Birch, B. J.; Swinnerton-Dyer, H. P. F. 115 1965 On l-adic representations and congruences for coefficients of modular forms. Zbl 0267.10032 Swinnerton-Dyer, H. P. F. 114 1973 Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 81 1987 On the zeros of Eisenstein series. Zbl 0203.35504 Rankin, F. K. C.; Swinnerton-Dyer, H. P. F. 76 1970 Notes on elliptic curves. I. Zbl 0118.27601 Birch, B. J.; Swinnerton-Dyer, H. P. F. 64 1963 Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 – August 3, 1972. Zbl 0315.14014 58 1975 Stably rational non rational varieties. (Variétés stablement rationnelles non rationnelles.) Zbl 0589.14042 Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 58 1985 Modular forms on noncongruence subgroups. Zbl 0235.10015 Atkin, A. O. L.; Swinnerton-Dyer, H. P. F. 57 1971 Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 54 1987 On the product of three homogeneous linear forms and indefinite ternary quadratic forms. Zbl 0065.27905 Cassels, J. W. S.; Swinnerton-Dyer, H. P. F. 50 1955 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003 Artin, M.; Swinnerton-Dyer, H. P. F. 41 1973 The zeta function of a cubic surface over a finite field. Zbl 0201.53702 Swinnerton-Dyer, H. P. F. 37 1967 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010 Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 37 1994 The number of lattice points on a convex curve. Zbl 0285.10020 Swinnerton-Dyer, H. P. F. 33 1974 The Brauer group of cubic surfaces. Zbl 0804.14018 Swinnerton-Dyer, Peter 28 1993 An enumeration of all varieties of degree 4. Zbl 0281.14023 Swinnerton-Dyer, H. P. F. 28 1973 Note on a problem of Chowla. Zbl 0091.04301 Birch, B. J.; Swinnerton-Dyer, H. P. F. 28 1959 Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions. Zbl 0984.37022 Swinnerton-Dyer, Peter 28 2001 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 25 1997 The effect of twisting on the 2-Selmer group. Zbl 1242.11041 Swinnerton-Dyer, Peter 25 2008 On the Brauer group of diagonal quartic surfaces. With an appendix by Peter Swinnerton-Dyer. Zbl 1239.14013 Ieronymou, Evis; Skorobogatov, Alexei N.; Zarhin, Yuri G. 23 2011 Elliptic curves and modular functions. Zbl 1214.11081 Swinnerton-Dyer, H. P. F.; Birch, B. J. 23 1975 Rational points and zero-cycles on fibred varieties: Schinzel’s hypothesis and Salberger’s device. Zbl 0883.11029 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 21 1998 On the local zeta function of a cubic threefold. Zbl 0153.50501 Bombieri, E.; Swinnerton-Dyer, H. P. F. 20 1967 Arithmetic of diagonal quartic surfaces. II. Zbl 1066.11029 Swinnerton-Dyer, Peter 18 2002 Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Zbl 0924.14011 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 18 1998 The inhomogeneous minima of binary quadratic forms. I. Zbl 0046.27601 Barnes, E. S.; Swinnerton-Dyer, H. P. F. 18 1952 Rational points on del Pezzo surfaces of degree 5. Zbl 0275.14013 Swinnerton-Dyer, H. P. F. 17 1972 2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021 Skorobogatov, Alexei; Swinnerton-Dyer, Peter 17 2005 The Hasse problem for rational surfaces. Zbl 0326.14007 Birch, B. J.; Swinnterton-Dyer, H. P. F. 16 1974 The invariant algebraic surfaces of the Lorenz system. Zbl 1023.34033 Swinnerton-Dyer, Peter 15 2002 Analytic theory of abelian varieties. Zbl 0299.14021 Swinnerton-Dyer, H. P. F. 14 1974 On the inhomogeneous minimum of the product of n linear forms. Zbl 0074.03702 Birch, B. J.; Swinnerton-Dyer, H. P. F. 14 1956 Discrete groups and automorphic functions. Proceedings of an instructional conference organized by the London Mathematical Society and the University of Cambridge (a NATO Advanced Study Institute). Zbl 0411.30033 13 1977 A brief guide to algebraic number theory. Zbl 0963.11001 Swinnerton-Dyer, H. P. F. 13 2001 On l-adic representations and congruences for coefficients of modular forms. II. Zbl 0392.10030 Swinnerton-Dyer, H. P. F. 13 1977 Extremal lattices of convex bodies. Zbl 0050.04805 Swinnerton-Dyer, H. P. F. 12 1953 Some third-order ordinary differential equations. Zbl 1151.37023 Swinnerton-Dyer, Peter; Wagenknecht, Thomas 11 2008 Two special cubic surfaces. Zbl 0103.38302 Swinnerton-Dyer, H. P. F. 11 1962 The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042 Sparrow, C.; Swinnerton-Dyer, H. P. F. 10 2002 The inhomogeneous minima of binary quadratic forms. III. Zbl 0056.27301 Barnes, E. S.; Swinnerton-Dyer, H. P. F. 10 1954 Brauer-Manin obstructions on some Del Pezzo surfaces. Zbl 0951.14010 Swinnerton-Dyer, Peter 10 1999 The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028 Swinnerton-Dyer, H. P. F.; Sparrow, C. T. 9 1995 The solubility of diagonal cubic surfaces. Zbl 1003.11028 Swinnerton-Dyer, Peter 9 2001 The conjectures of Birch and Swinnerton-Dyer, and of Tate. Zbl 0197.47101 Swinnerton-Dyer, P. 9 1967 On the product of three homogeneous linear forms. Zbl 0227.10019 Swinnerton-Dyer, H. P. F. 9 1971 Arithmetic of diagonal quartic surfaces. I. Zbl 0736.14006 Pinch, R. G. E.; Swinnerton-Dyer, H. P. F. 8 1991 Cubic surfaces over finite fields. Zbl 1222.11081 Swinnerton-Dyer, Peter 8 2010 Applications of algebraic geometry to number theory. Zbl 0228.14001 Swinnerton-Dyer, H. P. F. 7 1971 Rational points on pencils of conics and on pencils of quadrics. Zbl 1043.11530 Swinnerton-Dyer, Peter 7 1994 Rational points on some pencils of conics with 6 singular fibres. Zbl 0976.14014 Swinnerton-Dyer, Peter 6 1999 The birationality of cubic surfaces over a given field. Zbl 0224.14011 Swinnerton-Dyer, H. P. F. 6 1970 Rational points on certain intersections of two quadrics. Zbl 0849.14009 Swinnerton-Dyer, Peter 6 1995 Height zeta function of a cubic surface. (Fonction zêta des hauteurs associée à une certaine surface cubique.) Zbl 1207.11068 de la Bretèche, Régis; Swinnerton-Dyer, Peter 6 2007 Density of rational points on certain surfaces. Zbl 1277.11070 Swinnerton-Dyer, H. P. F. 6 2013 Weak approximation and \(R\)-equivalence on cubic surfaces. Zbl 1079.11035 Swinnerton-Dyer, Peter 6 2001 The inhomogeneous minima of binary quadratic forms. II. Zbl 0047.28102 Barnes, E. S.; Swinnerton-Dyer, H. P. F. 6 1952 A solution of \({A^5+B^5+C^5=D^5+E^5+F^5}\). Zbl 0046.26602 Swinnerton-Dyer, H. P. F. 6 1952 Computing the Brauer-Manin obstructions. Zbl 1057.14022 Bright, Martin; Swinnerton-Dyer, Peter 6 2004 \(A^ 4+B^ 4=C^ 4+D^ 4\) revisited. Zbl 0206.33703 Swinnerton-Dyer, H. P. F. 5 1968 The boundedness of solutions of systems of differential equations. Zbl 0361.34028 Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 5 1977 Solubility of certain pencils of curves of genus 1, and of the intersection of two quadrics in \(\mathbb P^4\). Zbl 1018.11031 Bender, A. O.; Swinnerton-Dyer, Peter 5 2001 Some applications of Schinzel’s hypothesis to Diophantine equations. Zbl 0937.11024 Swinnerton-Dyer, Peter 5 1999 Counting rational points on cubic surfaces. Zbl 0844.14008 Swinnerton-Dyer, Peter 4 1994 Counting points on cubic surfaces. II. Zbl 1127.11043 Swinnerton-Dyer, Peter 4 2005 Universal equivalence for cubic surfaces over finite and local fields. Zbl 0514.14015 Swinnerton-Dyer, H. P. F. 4 1981 Inhomogeneous lattices. Zbl 0055.04203 Swinnerton-Dyer, H. P. F. 4 1954 On the Steinhaus billiard table problem. Zbl 0116.39604 Croft, H. T.; Swinnerton-Dyer, H. P. F. 4 1963 Rational zeros of two quadratic forms. Zbl 0128.04702 Swinnerton-Dyer, H. P. F. 4 1964 Solution of simultaneous linear equations using a magnetic-tape store. Zbl 0091.29701 Barron, D. W.; Swinnerton-Dyer, H. P. F. 4 1960 Boundedness theorems for some second order differential equations. I. Zbl 0292.34023 Cartwright, Mary L.; Swinnerton-Dyer, H. P. F. 4 1974 Congruence properties of \(\tau\) (n). Zbl 0655.10028 Swinnerton-Dyer, H. P. F. 4 1988 A note on Liapunov’s method. Zbl 1040.34062 Swinnerton-Dyer, Peter 3 2000 Boundedness theorems for some second-order differential equations. IV. Zbl 0429.34037 Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 3 1979 Small parameter theory: the method of averaging. Zbl 0399.34038 Swinnerton-Dyer, Peter 3 1977 Numerical tables on elliptic curves. Prepared by H. P. F. Swinnerton-Dyer, N. M. Stephens, James Davenport, J. Vélu, F. B. Coghlan, A. O. L. Atkin and D. J. Tingley. Zbl 1214.11006 3 1975 \(2^n\)-descent on elliptic curves for all \(n\). Zbl 1294.11091 Swinnerton-Dyer, H. P. F. 3 2013 Diophantine equations: progress and problems. Zbl 1197.11071 Swinnerton-Dyer, Peter 3 2004 The geometry of numbers over algebraic number fields. Zbl 0083.26206 Rogers, K.; Swinnerton-Dyer, H. P. F. 3 1958 The basic Lorenz list and Sparrow’s conjecture A. Zbl 0624.58021 Swinnerton-Dyer, H. P. F. 3 1984 On a problem of Littlewood concerning Riccati’s equation. Zbl 0211.12004 Swinnerton-Dyer, H. P. F. 2 1969 The justification of mathematical statements. Zbl 1152.00307 Swinnerton-Dyer, Peter 2 2005 Topics in Diophantine equations. Zbl 1238.11002 Swinnerton-Dyer, Peter 2 2011 Intersections de deux quadriques et surfaces de Châtelet. (Intersections of two quadrics and Châtelet surfaces). Zbl 0575.14044 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 2 1984 Curves of small genus on certain \(K3\) surfaces. Zbl 1371.14043 Swinnerton-Dyer, Sir Peter 2 2016 A solution of \(A^4+B^4=C^4+D^4\). Zbl 0028.34601 Dyer, P. S. 2 1943 Counting points on cubic surfaces. I. Zbl 0969.11027 Slater, John B.; Swinnerton-Dyer, Peter 2 1998 An outline of Hodge theory. Zbl 0273.14002 Swinnerton-Dyer, H. P. F. 1 1972 The Hopf bifurcation theorem in three dimensions. Zbl 0365.34041 Swinnerton-Dyer, Peter 1 1977 Almost-conservative second-order differential equations. Zbl 0314.34054 Swinnerton-Dyer, H. P. F. 1 1975 Rational points on fibered surfaces. Zbl 1101.14027 Swinnerton-Dyer, Peter 1 2004 Diagonal hypersurfaces and the Bloch-Kato conjecture. I. Zbl 1311.11053 Swinnerton-Dyer, Sir Peter 1 2014 The inhomogeneous minima of complex cubic normal forms. Zbl 0055.04202 Swinnerton-Dyer, H. P. F. 1 1954 Products of inhomogeneous linear forms. Zbl 0065.03201 Davenport, Harold; Swinnerton-Dyer, H. P. F. 1 1955 The field of definition of the Néron-Severi group. Zbl 0575.14018 Swinnerton-Dyer, H. P. F. 1 1983 Curves of small genus on certain \(K3\) surfaces. Zbl 1371.14043 Swinnerton-Dyer, Sir Peter 2 2016 Diagonal hypersurfaces and the Bloch-Kato conjecture. I. Zbl 1311.11053 Swinnerton-Dyer, Sir Peter 1 2014 Density of rational points on certain surfaces. Zbl 1277.11070 Swinnerton-Dyer, H. P. F. 6 2013 \(2^n\)-descent on elliptic curves for all \(n\). Zbl 1294.11091 Swinnerton-Dyer, H. P. F. 3 2013 On the Brauer group of diagonal quartic surfaces. With an appendix by Peter Swinnerton-Dyer. Zbl 1239.14013 Ieronymou, Evis; Skorobogatov, Alexei N.; Zarhin, Yuri G. 23 2011 Topics in Diophantine equations. Zbl 1238.11002 Swinnerton-Dyer, Peter 2 2011 Cubic surfaces over finite fields. Zbl 1222.11081 Swinnerton-Dyer, Peter 8 2010 The effect of twisting on the 2-Selmer group. Zbl 1242.11041 Swinnerton-Dyer, Peter 25 2008 Some third-order ordinary differential equations. Zbl 1151.37023 Swinnerton-Dyer, Peter; Wagenknecht, Thomas 11 2008 Height zeta function of a cubic surface. (Fonction zêta des hauteurs associée à une certaine surface cubique.) Zbl 1207.11068 de la Bretèche, Régis; Swinnerton-Dyer, Peter 6 2007 2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021 Skorobogatov, Alexei; Swinnerton-Dyer, Peter 17 2005 Counting points on cubic surfaces. II. Zbl 1127.11043 Swinnerton-Dyer, Peter 4 2005 The justification of mathematical statements. Zbl 1152.00307 Swinnerton-Dyer, Peter 2 2005 Computing the Brauer-Manin obstructions. Zbl 1057.14022 Bright, Martin; Swinnerton-Dyer, Peter 6 2004 Diophantine equations: progress and problems. Zbl 1197.11071 Swinnerton-Dyer, Peter 3 2004 Rational points on fibered surfaces. Zbl 1101.14027 Swinnerton-Dyer, Peter 1 2004 Arithmetic of diagonal quartic surfaces. II. Zbl 1066.11029 Swinnerton-Dyer, Peter 18 2002 The invariant algebraic surfaces of the Lorenz system. Zbl 1023.34033 Swinnerton-Dyer, Peter 15 2002 The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042 Sparrow, C.; Swinnerton-Dyer, H. P. F. 10 2002 Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions. Zbl 0984.37022 Swinnerton-Dyer, Peter 28 2001 A brief guide to algebraic number theory. Zbl 0963.11001 Swinnerton-Dyer, H. P. F. 13 2001 The solubility of diagonal cubic surfaces. Zbl 1003.11028 Swinnerton-Dyer, Peter 9 2001 Weak approximation and \(R\)-equivalence on cubic surfaces. Zbl 1079.11035 Swinnerton-Dyer, Peter 6 2001 Solubility of certain pencils of curves of genus 1, and of the intersection of two quadrics in \(\mathbb P^4\). Zbl 1018.11031 Bender, A. O.; Swinnerton-Dyer, Peter 5 2001 A note on Liapunov’s method. Zbl 1040.34062 Swinnerton-Dyer, Peter 3 2000 Brauer-Manin obstructions on some Del Pezzo surfaces. Zbl 0951.14010 Swinnerton-Dyer, Peter 10 1999 Rational points on some pencils of conics with 6 singular fibres. Zbl 0976.14014 Swinnerton-Dyer, Peter 6 1999 Some applications of Schinzel’s hypothesis to Diophantine equations. Zbl 0937.11024 Swinnerton-Dyer, Peter 5 1999 Rational points and zero-cycles on fibred varieties: Schinzel’s hypothesis and Salberger’s device. Zbl 0883.11029 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 21 1998 Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Zbl 0924.14011 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 18 1998 Counting points on cubic surfaces. I. Zbl 0969.11027 Slater, John B.; Swinnerton-Dyer, Peter 2 1998 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011 Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 25 1997 The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028 Swinnerton-Dyer, H. P. F.; Sparrow, C. T. 9 1995 Rational points on certain intersections of two quadrics. Zbl 0849.14009 Swinnerton-Dyer, Peter 6 1995 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010 Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 37 1994 Rational points on pencils of conics and on pencils of quadrics. Zbl 1043.11530 Swinnerton-Dyer, Peter 7 1994 Counting rational points on cubic surfaces. Zbl 0844.14008 Swinnerton-Dyer, Peter 4 1994 The Brauer group of cubic surfaces. Zbl 0804.14018 Swinnerton-Dyer, Peter 28 1993 Arithmetic of diagonal quartic surfaces. I. Zbl 0736.14006 Pinch, R. G. E.; Swinnerton-Dyer, H. P. F. 8 1991 Congruence properties of \(\tau\) (n). Zbl 0655.10028 Swinnerton-Dyer, H. P. F. 4 1988 Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 81 1987 Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 54 1987 Stably rational non rational varieties. (Variétés stablement rationnelles non rationnelles.) Zbl 0589.14042 Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 58 1985 The basic Lorenz list and Sparrow’s conjecture A. Zbl 0624.58021 Swinnerton-Dyer, H. P. F. 3 1984 Intersections de deux quadriques et surfaces de Châtelet. (Intersections of two quadrics and Châtelet surfaces). Zbl 0575.14044 Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 2 1984 The field of definition of the Néron-Severi group. Zbl 0575.14018 Swinnerton-Dyer, H. P. F. 1 1983 Universal equivalence for cubic surfaces over finite and local fields. Zbl 0514.14015 Swinnerton-Dyer, H. P. F. 4 1981 Boundedness theorems for some second-order differential equations. IV. Zbl 0429.34037 Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 3 1979 Discrete groups and automorphic functions. Proceedings of an instructional conference organized by the London Mathematical Society and the University of Cambridge (a NATO Advanced Study Institute). Zbl 0411.30033 13 1977 On l-adic representations and congruences for coefficients of modular forms. II. Zbl 0392.10030 Swinnerton-Dyer, H. P. F. 13 1977 The boundedness of solutions of systems of differential equations. Zbl 0361.34028 Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 5 1977 Small parameter theory: the method of averaging. Zbl 0399.34038 Swinnerton-Dyer, Peter 3 1977 The Hopf bifurcation theorem in three dimensions. Zbl 0365.34041 Swinnerton-Dyer, Peter 1 1977 Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 – August 3, 1972. Zbl 0315.14014 58 1975 Elliptic curves and modular functions. Zbl 1214.11081 Swinnerton-Dyer, H. P. F.; Birch, B. J. 23 1975 Numerical tables on elliptic curves. Prepared by H. P. F. Swinnerton-Dyer, N. M. Stephens, James Davenport, J. Vélu, F. B. Coghlan, A. O. L. Atkin and D. J. Tingley. Zbl 1214.11006 3 1975 Almost-conservative second-order differential equations. Zbl 0314.34054 Swinnerton-Dyer, H. P. F. 1 1975 Arithmetic of Weil curves. Zbl 0281.14016 Mazur, B.; Swinnerton-Dyer, P. 152 1974 The number of lattice points on a convex curve. Zbl 0285.10020 Swinnerton-Dyer, H. P. F. 33 1974 The Hasse problem for rational surfaces. Zbl 0326.14007 Birch, B. J.; Swinnterton-Dyer, H. P. F. 16 1974 Analytic theory of abelian varieties. Zbl 0299.14021 Swinnerton-Dyer, H. P. F. 14 1974 Boundedness theorems for some second order differential equations. I. Zbl 0292.34023 Cartwright, Mary L.; Swinnerton-Dyer, H. P. F. 4 1974 On l-adic representations and congruences for coefficients of modular forms. Zbl 0267.10032 Swinnerton-Dyer, H. P. F. 114 1973 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003 Artin, M.; Swinnerton-Dyer, H. P. F. 41 1973 An enumeration of all varieties of degree 4. Zbl 0281.14023 Swinnerton-Dyer, H. P. F. 28 1973 Rational points on del Pezzo surfaces of degree 5. Zbl 0275.14013 Swinnerton-Dyer, H. P. F. 17 1972 An outline of Hodge theory. Zbl 0273.14002 Swinnerton-Dyer, H. P. F. 1 1972 Modular forms on noncongruence subgroups. Zbl 0235.10015 Atkin, A. O. L.; Swinnerton-Dyer, H. P. F. 57 1971 On the product of three homogeneous linear forms. Zbl 0227.10019 Swinnerton-Dyer, H. P. F. 9 1971 Applications of algebraic geometry to number theory. Zbl 0228.14001 Swinnerton-Dyer, H. P. F. 7 1971 On the zeros of Eisenstein series. Zbl 0203.35504 Rankin, F. K. C.; Swinnerton-Dyer, H. P. F. 76 1970 The birationality of cubic surfaces over a given field. Zbl 0224.14011 Swinnerton-Dyer, H. P. F. 6 1970 On a problem of Littlewood concerning Riccati’s equation. Zbl 0211.12004 Swinnerton-Dyer, H. P. F. 2 1969 \(A^ 4+B^ 4=C^ 4+D^ 4\) revisited. Zbl 0206.33703 Swinnerton-Dyer, H. P. F. 5 1968 Algebraic number theory. Zbl 0153.07403 406 1967 The zeta function of a cubic surface over a finite field. Zbl 0201.53702 Swinnerton-Dyer, H. P. F. 37 1967 On the local zeta function of a cubic threefold. Zbl 0153.50501 Bombieri, E.; Swinnerton-Dyer, H. P. F. 20 1967 The conjectures of Birch and Swinnerton-Dyer, and of Tate. Zbl 0197.47101 Swinnerton-Dyer, P. 9 1967 Notes on elliptic curves. II. Zbl 0147.02506 Birch, B. J.; Swinnerton-Dyer, H. P. F. 115 1965 Rational zeros of two quadratic forms. Zbl 0128.04702 Swinnerton-Dyer, H. P. F. 4 1964 Notes on elliptic curves. I. Zbl 0118.27601 Birch, B. J.; Swinnerton-Dyer, H. P. F. 64 1963 On the Steinhaus billiard table problem. Zbl 0116.39604 Croft, H. T.; Swinnerton-Dyer, H. P. F. 4 1963 Two special cubic surfaces. Zbl 0103.38302 Swinnerton-Dyer, H. P. F. 11 1962 Solution of simultaneous linear equations using a magnetic-tape store. Zbl 0091.29701 Barron, D. W.; Swinnerton-Dyer, H. P. F. 4 1960 Note on a problem of Chowla. Zbl 0091.04301 Birch, B. J.; Swinnerton-Dyer, H. P. F. 28 1959 The geometry of numbers over algebraic number fields. Zbl 0083.26206 Rogers, K.; Swinnerton-Dyer, H. P. F. 3 1958 On the inhomogeneous minimum of the product of n linear forms. Zbl 0074.03702 Birch, B. J.; Swinnerton-Dyer, H. P. F. 14 1956 On the product of three homogeneous linear forms and indefinite ternary quadratic forms. Zbl 0065.27905 Cassels, J. W. S.; Swinnerton-Dyer, H. P. F. 50 1955 Products of inhomogeneous linear forms. Zbl 0065.03201 Davenport, Harold; Swinnerton-Dyer, H. P. F. 1 1955 Some properties of partitions. Zbl 0055.03805 Atkin, A. O. L.; Swinnerton-Dyer, P. 198 1954 The inhomogeneous minima of binary quadratic forms. III. Zbl 0056.27301 Barnes, E. S.; Swinnerton-Dyer, H. P. F. 10 1954 Inhomogeneous lattices. Zbl 0055.04203 Swinnerton-Dyer, H. P. F. 4 1954 The inhomogeneous minima of complex cubic normal forms. Zbl 0055.04202 Swinnerton-Dyer, H. P. F. 1 1954 Extremal lattices of convex bodies. Zbl 0050.04805 Swinnerton-Dyer, H. P. F. 12 1953 The inhomogeneous minima of binary quadratic forms. I. Zbl 0046.27601 Barnes, E. S.; Swinnerton-Dyer, H. P. F. 18 1952 The inhomogeneous minima of binary quadratic forms. II. Zbl 0047.28102 Barnes, E. S.; Swinnerton-Dyer, H. P. F. 6 1952 A solution of \({A^5+B^5+C^5=D^5+E^5+F^5}\). Zbl 0046.26602 Swinnerton-Dyer, H. P. F. 6 1952 A solution of \(A^4+B^4=C^4+D^4\). Zbl 0028.34601 Dyer, P. S. 2 1943 all cited Publications top 5 cited Publications all top 5 Cited by 1,472 Authors 22 Colliot-Thélène, Jean-Louis 20 Skorobogatov, Alexei Nikolaïevitch 18 Bringmann, Kathrin 18 Garvan, Frank G. 16 Ono, Ken 15 Mao, Renrong 15 Mazur, Barry 14 Jahnel, Jörg 13 Browning, Timothy Daniel 12 Choi, Dohoon 12 Jennings-Shaffer, Chris 12 Swinnerton-Dyer, Peter 11 Tschinkel, Yuri 10 Andrews, George Eyre 10 Chan, Song Heng 10 Fisher, Tom A. 10 Folsom, Amanda L. 10 Shlapentokh, Alexandra 10 Vâjâitu, Marian 10 Wittenberg, Olivier 9 Choi, Soyoung 9 Elsenhans, Andreas-Stephan 9 Im, Bo-Hae 9 Loughran, Daniel 9 Raka, Madhu 9 Xia, Ernest X. W. 9 Zaharescu, Alexandru 8 Creutz, Brendan 8 Heath-Brown, Roger 8 Huxley, Martin N. 8 Long, Ling 8 Miller, Steven J. 8 Poonen, Bjorn 8 Rhoades, Robert C. 8 Viray, Bianca 7 Alexandru, Victor 7 Algaba, Antonio 7 Auel, Asher Natan 7 de la Bretèche, Régis 7 German, Oleg N. 7 Gun, Sanoli 7 Harpaz, Yonatan 7 Hassett, Brendan 7 Llibre, Jaume 7 Merino, Manuel 7 Nagaoka, Shoyu 7 Rodríguez-Luis, Alejandro J. 7 Rubin, Karl Cooper 7 Swisher, Holly 7 Xue, Hui 7 Zhu, Daozhou 6 Ahlgren, Scott D. 6 Barnes, E. S. 6 Bhargava, Manjul 6 Dummigan, Neil 6 Franc, Cameron 6 Liang, Yongqi 6 Lovejoy, Jeremy 6 Murty, Maruti Ram 6 Murty, Vijaya Kumar 6 Schindler, Damaris 6 Schütt, Matthias 6 Valls Anglés, Cláudia 6 Várilly-Alvarado, Anthony 6 Wei, Dasheng 6 Yao, Olivia Xiang Mei 5 Böcherer, Siegfried 5 Bremner, Andrew 5 Bright, Martin 5 Cremona, John E. 5 Darmon, Henri René 5 Fernández-Sánchez, Fernando 5 Flynn, Eugene Victor 5 Guerzhoy, Pavel I. 5 Hickerson, Dean R. 5 Kathuria, Leetika 5 Kim, Byungchan 5 Krishchenko, Alexander P. 5 Lei, Antonio 5 Lewis, Richard P. 5 Lindenstrauss, Elon 5 Mason, Geoffrey 5 Momose, Fumiyuki 5 Mortenson, Eric T. 5 Ogg, Andrew P. 5 Popescu, Nicolae 5 Prokhorov, Yuriĭ Gennad’evich 5 Rolen, Larry 5 Shapira, Uri 5 Siksek, Samir 5 Sofos, Efthymios 5 Zarkhin, Yuriĭ Gennad’evich 4 Berkovich, Alexander 4 Böhning, Christian 4 Corvaja, Pietro 4 Derenthal, Ulrich 4 Einsiedler, Manfred Leopold 4 Goldfeld, Dorian Morris 4 Gross, Benedict Hyman 4 Gruber, Peter Manfred ...and 1,372 more Authors all top 5 Cited in 241 Serials 139 Journal of Number Theory 65 The Ramanujan Journal 62 Inventiones Mathematicae 51 International Journal of Number Theory 44 Duke Mathematical Journal 42 Proceedings of the American Mathematical Society 41 Advances in Mathematics 40 Transactions of the American Mathematical Society 37 Mathematics of Computation 37 Compositio Mathematica 37 Journal de Théorie des Nombres de Bordeaux 35 Mathematische Annalen 26 Journal of Algebra 22 Manuscripta Mathematica 21 Journal of Mathematical Analysis and Applications 20 Acta Arithmetica 19 Research in Number Theory 18 Mathematische Zeitschrift 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Annales de l’Institut Fourier 15 Bulletin of the American Mathematical Society. New Series 14 Journal für die Reine und Angewandte Mathematik 14 Mathematika 13 Annals of Mathematics. Second Series 12 Rocky Mountain Journal of Mathematics 11 Israel Journal of Mathematics 11 Journal of Soviet Mathematics 11 Proceedings of the London Mathematical Society. Third Series 11 Research in the Mathematical Sciences 10 Bulletin of the Australian Mathematical Society 10 Acta Mathematica 10 Journal of Combinatorial Theory. Series A 10 Journal of Pure and Applied Algebra 10 Proceedings of the Japan Academy. Series A 9 Monatshefte für Mathematik 9 Journal of Symbolic Computation 9 Journal of the Australian Mathematical Society 8 Canadian Mathematical Bulletin 8 Journal of the London Mathematical Society. Second Series 7 Communications in Algebra 7 Discrete Mathematics 7 Mathematical Notes 7 Archiv der Mathematik 7 Bulletin of the London Mathematical Society 7 Physica D 7 Journal of the American Mathematical Society 7 Forum Mathematicum 7 Journal of Mathematical Sciences (New York) 7 Annals of Combinatorics 7 Journal of the European Mathematical Society (JEMS) 6 Bulletin de la Société Mathématique de France 6 Functiones et Approximatio. Commentarii Mathematici 6 Nagoya Mathematical Journal 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Experimental Mathematics 6 Finite Fields and their Applications 6 The Electronic Journal of Combinatorics 6 Bulletin des Sciences Mathématiques 6 Journal of High Energy Physics 6 Algebra & Number Theory 6 European Journal of Mathematics 5 Physics Letters. A 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Rendiconti del Seminario Matematico della Università di Padova 5 Journal of the Ramanujan Mathematical Society 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Journal of Algebraic Geometry 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Oberwolfach Reports 5 Science China. Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Indian Journal of Pure & Applied Mathematics 4 Journal of Mathematical Physics 4 Russian Mathematical Surveys 4 The Mathematical Intelligencer 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Functional Analysis and its Applications 4 Geometriae Dedicata 4 Journal of Differential Equations 4 Mathematische Nachrichten 4 Michigan Mathematical Journal 4 European Journal of Combinatorics 4 Advances in Applied Mathematics 4 Ergodic Theory and Dynamical Systems 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Kyushu Journal of Mathematics 4 Algebras and Representation Theory 4 Integers 4 Journal of the Institute of Mathematics of Jussieu 4 Bulletin of the American Mathematical Society 4 Chebyshevskiĭ Sbornik 3 Chaos, Solitons and Fractals 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Computation 3 Canadian Journal of Mathematics 3 Glasgow Mathematical Journal 3 Publications Mathématiques 3 Tôhoku Mathematical Journal. Second Series 3 Discrete & Computational Geometry 3 Geometric and Functional Analysis. GAFA ...and 141 more Serials all top 5 Cited in 54 Fields 1,152 Number theory (11-XX) 580 Algebraic geometry (14-XX) 135 Combinatorics (05-XX) 57 Ordinary differential equations (34-XX) 56 Dynamical systems and ergodic theory (37-XX) 41 Field theory and polynomials (12-XX) 38 Special functions (33-XX) 33 Convex and discrete geometry (52-XX) 31 Group theory and generalizations (20-XX) 28 Commutative algebra (13-XX) 17 Several complex variables and analytic spaces (32-XX) 16 Topological groups, Lie groups (22-XX) 15 Computer science (68-XX) 13 General and overarching topics; collections (00-XX) 13 Associative rings and algebras (16-XX) 12 Mathematical logic and foundations (03-XX) 12 Quantum theory (81-XX) 11 Functions of a complex variable (30-XX) 10 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 9 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 8 History and biography (01-XX) 8 Functional analysis (46-XX) 8 Numerical analysis (65-XX) 7 \(K\)-theory (19-XX) 7 Geometry (51-XX) 6 Nonassociative rings and algebras (17-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Algebraic topology (55-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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