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 497 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 René 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 Lehto, Olli E. 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) 53 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 1,621 times in 1,354 Documents Cited by ▼ Year ▼ Algebraic number theory. Zbl 0153.07403 331 1967 Some properties of partitions. Zbl 0055.03805Atkin, A. O. L.; Swinnerton-Dyer, P. 177 1954 Arithmetic of Weil curves. Zbl 0281.14016Mazur, B.; Swinnerton-Dyer, P. 141 1974 Notes on elliptic curves. II. Zbl 0147.02506Birch, B. J.; Swinnerton-Dyer, H. P. F. 99 1965 On l-adic representations and congruences for coefficients of modular forms. Zbl 0267.10032Swinnerton-Dyer, H. P. F. 78 1973 Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 65 1987 On the zeros of Eisenstein series. Zbl 0203.35504Rankin, F. K. C.; Swinnerton-Dyer, H. P. F. 65 1970 Notes on elliptic curves. I. Zbl 0118.27601Birch, B. J.; Swinnerton-Dyer, H. P. F. 58 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 55 1975 Stably rational non rational varieties. (Variétés stablement rationnelles non rationnelles.) Zbl 0589.14042Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 51 1985 Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 46 1987 On the product of three homogeneous linear forms and indefinite ternary quadratic forms. Zbl 0065.27905Cassels, J. W. S.; Swinnerton-Dyer, H. P. F. 46 1955 Modular forms on noncongruence subgroups. Zbl 0235.10015Atkin, A. O. L.; Swinnerton-Dyer, H. P. F. 43 1971 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003Artin, M.; Swinnerton-Dyer, H. P. F. 39 1973 The zeta function of a cubic surface over a finite field. Zbl 0201.53702Swinnerton-Dyer, H. P. F. 36 1967 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 34 1994 The number of lattice points on a convex curve. Zbl 0285.10020Swinnerton-Dyer, H. P. F. 30 1974 The Brauer group of cubic surfaces. Zbl 0804.14018Swinnerton-Dyer, Peter 27 1993 An enumeration of all varieties of degree 4. Zbl 0281.14023Swinnerton-Dyer, H. P. F. 25 1973 Note on a problem of Chowla. Zbl 0091.04301Birch, B. J.; Swinnerton-Dyer, H. P. F. 24 1959 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 24 1997 Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions. Zbl 0984.37022Swinnerton-Dyer, Peter 23 2001 The effect of twisting on the 2-Selmer group. Zbl 1242.11041Swinnerton-Dyer, Peter 23 2008 On the Brauer group of diagonal quartic surfaces. With an appendix by Peter Swinnerton-Dyer. Zbl 1239.14013Ieronymou, Evis; Skorobogatov, Alexei N.; Zarhin, Yuri G. 21 2011 Rational points and zero-cycles on fibred varieties: Schinzel’s hypothesis and Salberger’s device. Zbl 0883.11029Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 20 1998 On the local zeta function of a cubic threefold. Zbl 0153.50501Bombieri, E.; Swinnerton-Dyer, H. P. F. 19 1967 Elliptic curves and modular functions. Zbl 1214.11081Swinnerton-Dyer, H. P. F.; Birch, B. J. 18 1975 Arithmetic of diagonal quartic surfaces. II. Zbl 1066.11029Swinnerton-Dyer, Peter 17 2002 The inhomogeneous minima of binary quadratic forms. I. Zbl 0046.27601Barnes, E. S.; Swinnerton-Dyer, H. P. F. 17 1952 Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Zbl 0924.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 16 1998 2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021Skorobogatov, Alexei; Swinnerton-Dyer, Peter 15 2005 Analytic theory of abelian varieties. Zbl 0299.14021Swinnerton-Dyer, H. P. F. 14 1974 On the inhomogeneous minimum of the product of n linear forms. Zbl 0074.03702Birch, B. J.; Swinnerton-Dyer, H. P. F. 14 1956 The invariant algebraic surfaces of the Lorenz system. Zbl 1023.34033Swinnerton-Dyer, Peter 14 2002 Extremal lattices of convex bodies. Zbl 0050.04805Swinnerton-Dyer, H. P. F. 12 1953 A brief guide to algebraic number theory. Zbl 0963.11001Swinnerton-Dyer, H. P. F. 12 2001 The Hasse problem for rational surfaces. Zbl 0326.14007Birch, B. J.; Swinnterton-Dyer, H. P. F. 11 1974 Two special cubic surfaces. Zbl 0103.38302Swinnerton-Dyer, H. P. F. 11 1962 The inhomogeneous minima of binary quadratic forms. III. Zbl 0056.27301Barnes, E. S.; Swinnerton-Dyer, H. P. F. 10 1954 The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042Sparrow, C.; Swinnerton-Dyer, H. P. F. 10 2002 Rational points on del Pezzo surfaces of degree 5. Zbl 0275.14013Swinnerton-Dyer, H. P. F. 9 1972 On l-adic representations and congruences for coefficients of modular forms. II. Zbl 0392.10030Swinnerton-Dyer, H. P. F. 9 1977 Brauer-Manin obstructions on some Del Pezzo surfaces. Zbl 0951.14010Swinnerton-Dyer, Peter 9 1999 The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028Swinnerton-Dyer, H. P. F.; Sparrow, C. T. 9 1995 The conjectures of Birch and Swinnerton-Dyer, and of Tate. Zbl 0197.47101Swinnerton-Dyer, P. 9 1967 On the product of three homogeneous linear forms. Zbl 0227.10019Swinnerton-Dyer, H. P. F. 9 1971 The solubility of diagonal cubic surfaces. Zbl 1003.11028Swinnerton-Dyer, Peter 9 2001 Some third-order ordinary differential equations. Zbl 1151.37023Swinnerton-Dyer, Peter; Wagenknecht, Thomas 9 2008 Arithmetic of diagonal quartic surfaces. I. Zbl 0736.14006Pinch, R. G. E.; Swinnerton-Dyer, H. P. F. 8 1991 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 8 1977 Rational points on pencils of conics and on pencils of quadrics. Zbl 1043.11530Swinnerton-Dyer, Peter 7 1994 Cubic surfaces over finite fields. Zbl 1222.11081Swinnerton-Dyer, Peter 7 2010 Density of rational points on certain surfaces. Zbl 1277.11070Swinnerton-Dyer, H. P. F. 6 2013 A solution of \({A^5+B^5+C^5=D^5+E^5+F^5}\). Zbl 0046.26602Swinnerton-Dyer, H. P. F. 6 1952 The inhomogeneous minima of binary quadratic forms. II. Zbl 0047.28102Barnes, E. S.; Swinnerton-Dyer, H. P. F. 6 1952 Computing the Brauer-Manin obstructions. Zbl 1057.14022Bright, Martin; Swinnerton-Dyer, Peter 6 2004 The birationality of cubic surfaces over a given field. Zbl 0224.14011Swinnerton-Dyer, H. P. F. 6 1970 Applications of algebraic geometry to number theory. Zbl 0228.14001Swinnerton-Dyer, H. P. F. 6 1971 Solubility of certain pencils of curves of genus 1, and of the intersection of two quadrics in \(\mathbb P^4\). Zbl 1018.11031Bender, A. O.; Swinnerton-Dyer, Peter 5 2001 Weak approximation and \(R\)-equivalence on cubic surfaces. Zbl 1079.11035Swinnerton-Dyer, Peter 5 2001 \(A^ 4+B^ 4=C^ 4+D^ 4\) revisited. Zbl 0206.33703Swinnerton-Dyer, H. P. F. 5 1968 Height zeta function of a cubic surface. (Fonction zêta des hauteurs associée à une certaine surface cubique.) Zbl 1207.11068de la Bretèche, Régis; Swinnerton-Dyer, Peter 5 2007 Boundedness theorems for some second order differential equations. I. Zbl 0292.34023Cartwright, Mary L.; Swinnerton-Dyer, H. P. F. 4 1974 The boundedness of solutions of systems of differential equations. Zbl 0361.34028Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 4 1977 Counting points on cubic surfaces. II. Zbl 1127.11043Swinnerton-Dyer, Peter 4 2005 Some applications of Schinzel’s hypothesis to Diophantine equations. Zbl 0937.11024Swinnerton-Dyer, Peter 4 1999 Rational points on some pencils of conics with 6 singular fibres. Zbl 0976.14014Swinnerton-Dyer, Peter 4 1999 Solution of simultaneous linear equations using a magnetic-tape store. Zbl 0091.29701Barron, D. W.; Swinnerton-Dyer, H. P. F. 4 1960 Counting rational points on cubic surfaces. Zbl 0844.14008Swinnerton-Dyer, Peter 4 1994 Rational points on certain intersections of two quadrics. Zbl 0849.14009Swinnerton-Dyer, Peter 4 1995 On the Steinhaus billiard table problem. Zbl 0116.39604Croft, H. T.; Swinnerton-Dyer, H. P. F. 4 1963 The basic Lorenz list and Sparrow’s conjecture A. Zbl 0624.58021Swinnerton-Dyer, H. P. F. 3 1984 Congruence properties of \(\tau\) (n). Zbl 0655.10028Swinnerton-Dyer, H. P. F. 3 1988 \(2^n\)-descent on elliptic curves for all \(n\). Zbl 1294.11091Swinnerton-Dyer, H. P. F. 3 2013 Inhomogeneous lattices. Zbl 0055.04203Swinnerton-Dyer, H. P. F. 3 1954 The geometry of numbers over algebraic number fields. Zbl 0083.26206Rogers, K.; Swinnerton-Dyer, H. P. F. 3 1958 Boundedness theorems for some second-order differential equations. IV. Zbl 0429.34037Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 3 1979 Small parameter theory: the method of averaging. Zbl 0399.34038Swinnerton-Dyer, Peter 3 1977 Diophantine equations: progress and problems. Zbl 1197.11071Swinnerton-Dyer, Peter 3 2004 Rational zeros of two quadratic forms. Zbl 0128.04702Swinnerton-Dyer, H. P. F. 3 1964 Intersections de deux quadriques et surfaces de Châtelet. (Intersections of two quadrics and Châtelet surfaces). Zbl 0575.14044Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 2 1984 Universal equivalence for cubic surfaces over finite and local fields. Zbl 0514.14015Swinnerton-Dyer, H. P. F. 2 1981 Curves of small genus on certain \(K3\) surfaces. Zbl 1371.14043Swinnerton-Dyer, Sir Peter 2 2016 A solution of \(A^4+B^4=C^4+D^4\). Zbl 0028.34601Dyer, P. S. 2 1943 On a problem of Littlewood concerning Riccati’s equation. Zbl 0211.12004Swinnerton-Dyer, H. P. F. 2 1969 Topics in Diophantine equations. Zbl 1238.11002Swinnerton-Dyer, Peter 2 2011 The justification of mathematical statements. Zbl 1152.00307Swinnerton-Dyer, Peter 2 2005 The field of definition of the Néron-Severi group. Zbl 0575.14018Swinnerton-Dyer, H. P. F. 1 1983 An outline of Hodge theory. Zbl 0273.14002Swinnerton-Dyer, H. P. F. 1 1972 Almost-conservative second-order differential equations. Zbl 0314.34054Swinnerton-Dyer, H. P. F. 1 1975 The Hopf bifurcation theorem in three dimensions. Zbl 0365.34041Swinnerton-Dyer, Peter 1 1977 Counting points on cubic surfaces. I. Zbl 0969.11027Slater, John B.; Swinnerton-Dyer, Peter 1 1998 A note on Liapunov’s method. Zbl 1040.34062Swinnerton-Dyer, Peter 1 2000 The inhomogeneous minima of complex cubic normal forms. Zbl 0055.04202Swinnerton-Dyer, H. P. F. 1 1954 Products of inhomogeneous linear forms. Zbl 0065.03201Davenport, Harold; Swinnerton-Dyer, H. P. F. 1 1955 Rational points on fibered surfaces. Zbl 1101.14027Swinnerton-Dyer, Peter 1 2004 Diagonal hypersurfaces and the Bloch-Kato conjecture. I. Zbl 1311.11053Swinnerton-Dyer, Sir Peter 1 2014 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 1 1975 Curves of small genus on certain \(K3\) surfaces. Zbl 1371.14043Swinnerton-Dyer, Sir Peter 2 2016 Diagonal hypersurfaces and the Bloch-Kato conjecture. I. Zbl 1311.11053Swinnerton-Dyer, Sir Peter 1 2014 Density of rational points on certain surfaces. Zbl 1277.11070Swinnerton-Dyer, H. P. F. 6 2013 \(2^n\)-descent on elliptic curves for all \(n\). Zbl 1294.11091Swinnerton-Dyer, H. P. F. 3 2013 On the Brauer group of diagonal quartic surfaces. With an appendix by Peter Swinnerton-Dyer. Zbl 1239.14013Ieronymou, Evis; Skorobogatov, Alexei N.; Zarhin, Yuri G. 21 2011 Topics in Diophantine equations. Zbl 1238.11002Swinnerton-Dyer, Peter 2 2011 Cubic surfaces over finite fields. Zbl 1222.11081Swinnerton-Dyer, Peter 7 2010 The effect of twisting on the 2-Selmer group. Zbl 1242.11041Swinnerton-Dyer, Peter 23 2008 Some third-order ordinary differential equations. Zbl 1151.37023Swinnerton-Dyer, Peter; Wagenknecht, Thomas 9 2008 Height zeta function of a cubic surface. (Fonction zêta des hauteurs associée à une certaine surface cubique.) Zbl 1207.11068de la Bretèche, Régis; Swinnerton-Dyer, Peter 5 2007 2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021Skorobogatov, Alexei; Swinnerton-Dyer, Peter 15 2005 Counting points on cubic surfaces. II. Zbl 1127.11043Swinnerton-Dyer, Peter 4 2005 The justification of mathematical statements. Zbl 1152.00307Swinnerton-Dyer, Peter 2 2005 Computing the Brauer-Manin obstructions. Zbl 1057.14022Bright, Martin; Swinnerton-Dyer, Peter 6 2004 Diophantine equations: progress and problems. Zbl 1197.11071Swinnerton-Dyer, Peter 3 2004 Rational points on fibered surfaces. Zbl 1101.14027Swinnerton-Dyer, Peter 1 2004 Arithmetic of diagonal quartic surfaces. II. Zbl 1066.11029Swinnerton-Dyer, Peter 17 2002 The invariant algebraic surfaces of the Lorenz system. Zbl 1023.34033Swinnerton-Dyer, Peter 14 2002 The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042Sparrow, C.; Swinnerton-Dyer, H. P. F. 10 2002 Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions. Zbl 0984.37022Swinnerton-Dyer, Peter 23 2001 A brief guide to algebraic number theory. Zbl 0963.11001Swinnerton-Dyer, H. P. F. 12 2001 The solubility of diagonal cubic surfaces. Zbl 1003.11028Swinnerton-Dyer, Peter 9 2001 Solubility of certain pencils of curves of genus 1, and of the intersection of two quadrics in \(\mathbb P^4\). Zbl 1018.11031Bender, A. O.; Swinnerton-Dyer, Peter 5 2001 Weak approximation and \(R\)-equivalence on cubic surfaces. Zbl 1079.11035Swinnerton-Dyer, Peter 5 2001 A note on Liapunov’s method. Zbl 1040.34062Swinnerton-Dyer, Peter 1 2000 Brauer-Manin obstructions on some Del Pezzo surfaces. Zbl 0951.14010Swinnerton-Dyer, Peter 9 1999 Some applications of Schinzel’s hypothesis to Diophantine equations. Zbl 0937.11024Swinnerton-Dyer, Peter 4 1999 Rational points on some pencils of conics with 6 singular fibres. Zbl 0976.14014Swinnerton-Dyer, Peter 4 1999 Rational points and zero-cycles on fibred varieties: Schinzel’s hypothesis and Salberger’s device. Zbl 0883.11029Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 20 1998 Hasse principle for pencils of curves of genus one whose Jacobians have rational 2-division points. Zbl 0924.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 16 1998 Counting points on cubic surfaces. I. Zbl 0969.11027Slater, John B.; Swinnerton-Dyer, Peter 1 1998 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 24 1997 The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028Swinnerton-Dyer, H. P. F.; Sparrow, C. T. 9 1995 Rational points on certain intersections of two quadrics. Zbl 0849.14009Swinnerton-Dyer, Peter 4 1995 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 34 1994 Rational points on pencils of conics and on pencils of quadrics. Zbl 1043.11530Swinnerton-Dyer, Peter 7 1994 Counting rational points on cubic surfaces. Zbl 0844.14008Swinnerton-Dyer, Peter 4 1994 The Brauer group of cubic surfaces. Zbl 0804.14018Swinnerton-Dyer, Peter 27 1993 Arithmetic of diagonal quartic surfaces. I. Zbl 0736.14006Pinch, R. G. E.; Swinnerton-Dyer, H. P. F. 8 1991 Congruence properties of \(\tau\) (n). Zbl 0655.10028Swinnerton-Dyer, H. P. F. 3 1988 Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 65 1987 Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 46 1987 Stably rational non rational varieties. (Variétés stablement rationnelles non rationnelles.) Zbl 0589.14042Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 51 1985 The basic Lorenz list and Sparrow’s conjecture A. Zbl 0624.58021Swinnerton-Dyer, H. P. F. 3 1984 Intersections de deux quadriques et surfaces de Châtelet. (Intersections of two quadrics and Châtelet surfaces). Zbl 0575.14044Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 2 1984 The field of definition of the Néron-Severi group. Zbl 0575.14018Swinnerton-Dyer, H. P. F. 1 1983 Universal equivalence for cubic surfaces over finite and local fields. Zbl 0514.14015Swinnerton-Dyer, H. P. F. 2 1981 Boundedness theorems for some second-order differential equations. IV. Zbl 0429.34037Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 3 1979 On l-adic representations and congruences for coefficients of modular forms. II. Zbl 0392.10030Swinnerton-Dyer, H. P. F. 9 1977 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 8 1977 The boundedness of solutions of systems of differential equations. Zbl 0361.34028Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 4 1977 Small parameter theory: the method of averaging. Zbl 0399.34038Swinnerton-Dyer, Peter 3 1977 The Hopf bifurcation theorem in three dimensions. Zbl 0365.34041Swinnerton-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 55 1975 Elliptic curves and modular functions. Zbl 1214.11081Swinnerton-Dyer, H. P. F.; Birch, B. J. 18 1975 Almost-conservative second-order differential equations. Zbl 0314.34054Swinnerton-Dyer, H. P. F. 1 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 1 1975 Arithmetic of Weil curves. Zbl 0281.14016Mazur, B.; Swinnerton-Dyer, P. 141 1974 The number of lattice points on a convex curve. Zbl 0285.10020Swinnerton-Dyer, H. P. F. 30 1974 Analytic theory of abelian varieties. Zbl 0299.14021Swinnerton-Dyer, H. P. F. 14 1974 The Hasse problem for rational surfaces. Zbl 0326.14007Birch, B. J.; Swinnterton-Dyer, H. P. F. 11 1974 Boundedness theorems for some second order differential equations. I. Zbl 0292.34023Cartwright, Mary L.; Swinnerton-Dyer, H. P. F. 4 1974 On l-adic representations and congruences for coefficients of modular forms. Zbl 0267.10032Swinnerton-Dyer, H. P. F. 78 1973 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003Artin, M.; Swinnerton-Dyer, H. P. F. 39 1973 An enumeration of all varieties of degree 4. Zbl 0281.14023Swinnerton-Dyer, H. P. F. 25 1973 Rational points on del Pezzo surfaces of degree 5. Zbl 0275.14013Swinnerton-Dyer, H. P. F. 9 1972 An outline of Hodge theory. Zbl 0273.14002Swinnerton-Dyer, H. P. F. 1 1972 Modular forms on noncongruence subgroups. Zbl 0235.10015Atkin, A. O. L.; Swinnerton-Dyer, H. P. F. 43 1971 On the product of three homogeneous linear forms. Zbl 0227.10019Swinnerton-Dyer, H. P. F. 9 1971 Applications of algebraic geometry to number theory. Zbl 0228.14001Swinnerton-Dyer, H. P. F. 6 1971 On the zeros of Eisenstein series. Zbl 0203.35504Rankin, F. K. C.; Swinnerton-Dyer, H. P. F. 65 1970 The birationality of cubic surfaces over a given field. Zbl 0224.14011Swinnerton-Dyer, H. P. F. 6 1970 On a problem of Littlewood concerning Riccati’s equation. Zbl 0211.12004Swinnerton-Dyer, H. P. F. 2 1969 \(A^ 4+B^ 4=C^ 4+D^ 4\) revisited. Zbl 0206.33703Swinnerton-Dyer, H. P. F. 5 1968 Algebraic number theory. Zbl 0153.07403 331 1967 The zeta function of a cubic surface over a finite field. Zbl 0201.53702Swinnerton-Dyer, H. P. F. 36 1967 On the local zeta function of a cubic threefold. Zbl 0153.50501Bombieri, E.; Swinnerton-Dyer, H. P. F. 19 1967 The conjectures of Birch and Swinnerton-Dyer, and of Tate. Zbl 0197.47101Swinnerton-Dyer, P. 9 1967 Notes on elliptic curves. II. Zbl 0147.02506Birch, B. J.; Swinnerton-Dyer, H. P. F. 99 1965 Rational zeros of two quadratic forms. Zbl 0128.04702Swinnerton-Dyer, H. P. F. 3 1964 Notes on elliptic curves. I. Zbl 0118.27601Birch, B. J.; Swinnerton-Dyer, H. P. F. 58 1963 On the Steinhaus billiard table problem. Zbl 0116.39604Croft, H. T.; Swinnerton-Dyer, H. P. F. 4 1963 Two special cubic surfaces. Zbl 0103.38302Swinnerton-Dyer, H. P. F. 11 1962 Solution of simultaneous linear equations using a magnetic-tape store. Zbl 0091.29701Barron, D. W.; Swinnerton-Dyer, H. P. F. 4 1960 Note on a problem of Chowla. Zbl 0091.04301Birch, B. J.; Swinnerton-Dyer, H. P. F. 24 1959 The geometry of numbers over algebraic number fields. Zbl 0083.26206Rogers, K.; Swinnerton-Dyer, H. P. F. 3 1958 On the inhomogeneous minimum of the product of n linear forms. Zbl 0074.03702Birch, B. J.; Swinnerton-Dyer, H. P. F. 14 1956 On the product of three homogeneous linear forms and indefinite ternary quadratic forms. Zbl 0065.27905Cassels, J. W. S.; Swinnerton-Dyer, H. P. F. 46 1955 Products of inhomogeneous linear forms. Zbl 0065.03201Davenport, Harold; Swinnerton-Dyer, H. P. F. 1 1955 Some properties of partitions. Zbl 0055.03805Atkin, A. O. L.; Swinnerton-Dyer, P. 177 1954 The inhomogeneous minima of binary quadratic forms. III. Zbl 0056.27301Barnes, E. S.; Swinnerton-Dyer, H. P. F. 10 1954 Inhomogeneous lattices. Zbl 0055.04203Swinnerton-Dyer, H. P. F. 3 1954 The inhomogeneous minima of complex cubic normal forms. Zbl 0055.04202Swinnerton-Dyer, H. P. F. 1 1954 Extremal lattices of convex bodies. Zbl 0050.04805Swinnerton-Dyer, H. P. F. 12 1953 The inhomogeneous minima of binary quadratic forms. I. Zbl 0046.27601Barnes, E. S.; Swinnerton-Dyer, H. P. F. 17 1952 A solution of \({A^5+B^5+C^5=D^5+E^5+F^5}\). Zbl 0046.26602Swinnerton-Dyer, H. P. F. 6 1952 The inhomogeneous minima of binary quadratic forms. II. Zbl 0047.28102Barnes, E. S.; Swinnerton-Dyer, H. P. F. 6 1952 A solution of \(A^4+B^4=C^4+D^4\). Zbl 0028.34601Dyer, P. S. 2 1943 all cited Publications top 5 cited Publications all top 5 Cited by 1,279 Authors 20 Skorobogatov, Alexei Nikolaïevitch 19 Colliot-Thélène, Jean-Louis 18 Bringmann, Kathrin 16 Garvan, Frank G. 15 Mazur, Barry 14 Ono, Ken 13 Mao, Renrong 12 Browning, Timothy Daniel 12 Jahnel, Jörg 12 Jennings-Shaffer, Chris 11 Swinnerton-Dyer, Peter 10 Andrews, George Eyre 10 Chan, Song Heng 10 Choi, Dohoon 10 Fisher, Tom A. 10 Shlapentokh, Alexandra 10 Tschinkel, Yuri 9 Elsenhans, Andreas-Stephan 9 Folsom, Amanda L. 9 Raka, Madhu 9 Vâjâitu, Marian 9 Wittenberg, Olivier 8 Heath-Brown, Roger 8 Rhoades, Robert C. 8 Zaharescu, Alexandru 7 Choi, Soyoung 7 Creutz, Brendan 7 de la Bretèche, Régis 7 German, Oleg N. 7 Huxley, Martin N. 7 Im, Bo-Hae 7 Llibre, Jaume 7 Long, Ling 7 Loughran, Daniel 7 Poonen, Bjorn 7 Rubin, Karl Cooper 7 Viray, Bianca 7 Xia, Ernest X. W. 6 Ahlgren, Scott D. 6 Alexandru, Victor 6 Algaba, Antonio 6 Auel, Asher Natan 6 Barnes, E. S. 6 Bhargava, Manjul 6 Hassett, Brendan 6 Liang, Yongqi 6 Lovejoy, Jeremy 6 Merino, Manuel 6 Murty, Maruti Ram 6 Rodríguez-Luis, Alejandro J. 6 Schütt, Matthias 6 Swisher, Holly 6 Valls Anglés, Cláudia 6 Várilly-Alvarado, Anthony 6 Wei, Dasheng 6 Xue, Hui 6 Zhu, Daozhou 5 Bremner, Andrew 5 Bright, Martin 5 Cremona, John E. 5 Dummigan, Neil 5 Fernández-Sánchez, Fernando 5 Flynn, Eugene Victor 5 Guerzhoy, Pavel I. 5 Gun, Sanoli 5 Harpaz, Yonatan 5 Hickerson, Dean R. 5 Kathuria, Leetika 5 Kim, Byungchan 5 Lei, Antonio 5 Lewis, Richard P. 5 Lindenstrauss, Elon 5 Miller, Steven J. 5 Momose, Fumiyuki 5 Nagaoka, Shoyu 5 Ogg, Andrew P. 5 Popescu, Nicolae 5 Shapira, Uri 5 Zarkhin, Yuriĭ Gennad’evich 4 Berkovich, Alexander 4 Böhning, Christian 4 Derenthal, Ulrich 4 Einsiedler, Manfred Leopold 4 Franc, Cameron 4 Goldfeld, Dorian Morris 4 Gross, Benedict Hyman 4 Gruber, Peter Manfred 4 Gu, Nancy Shan Shan 4 Hans-Gill, Rajinder J. 4 Harari, David 4 Harris, Michael Howard 4 Ieronymou, Evis 4 Ji, Kathy Qing 4 Kanel’-Belov, Alekseĭ Yakovlevich 4 Kang, Ming-Chang 4 Kikuta, Toshiyuki 4 Klagsbrun, Zev 4 Krishchenko, Alexander P. 4 Mahlburg, Karl 4 Mason, Geoffrey ...and 1,179 more Authors all top 5 Cited in 224 Serials 126 Journal of Number Theory 59 Inventiones Mathematicae 56 The Ramanujan Journal 46 International Journal of Number Theory 43 Duke Mathematical Journal 39 Proceedings of the American Mathematical Society 37 Advances in Mathematics 37 Compositio Mathematica 36 Journal de Théorie des Nombres de Bordeaux 35 Transactions of the American Mathematical Society 34 Mathematische Annalen 31 Mathematics of Computation 22 Journal of Algebra 20 Manuscripta Mathematica 17 Acta Arithmetica 15 Journal of Mathematical Analysis and Applications 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Mathematische Zeitschrift 14 Annales de l’Institut Fourier 14 Bulletin of the American Mathematical Society. New Series 13 Journal für die Reine und Angewandte Mathematik 13 Mathematika 13 Annals of Mathematics. Second Series 12 Rocky Mountain Journal of Mathematics 12 Research in Number Theory 11 Israel Journal of Mathematics 11 Journal of Soviet Mathematics 10 Bulletin of the Australian Mathematical Society 10 Acta Mathematica 9 Journal of Combinatorial Theory. Series A 9 Journal of Pure and Applied Algebra 9 Journal of the Australian Mathematical Society 9 Research in the Mathematical Sciences 8 Proceedings of the Japan Academy. Series A 8 Journal of Symbolic Computation 7 Communications in Algebra 7 Mathematical Notes 7 Archiv der Mathematik 7 Physica D 7 Journal of the American Mathematical Society 7 Journal of Mathematical Sciences (New York) 7 Annals of Combinatorics 6 Discrete Mathematics 6 Canadian Mathematical Bulletin 6 Journal of the London Mathematical Society. Second Series 6 Monatshefte für Mathematik 6 Nagoya Mathematical Journal 6 Proceedings of the London Mathematical Society. Third Series 6 The Electronic Journal of Combinatorics 6 Bulletin des Sciences Mathématiques 5 Bulletin de la Société Mathématique de France 5 Functiones et Approximatio. Commentarii Mathematici 5 Forum Mathematicum 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Experimental Mathematics 5 Journal of Algebraic Geometry 5 Finite Fields and their Applications 5 Journal of the European Mathematical Society (JEMS) 5 Algebra & Number Theory 5 Science China. Mathematics 5 European Journal of Mathematics 4 Indian Journal of Pure & Applied Mathematics 4 Journal of Mathematical Physics 4 Russian Mathematical Surveys 4 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Rendiconti del Seminario Matematico della Università di Padova 4 Advances in Applied Mathematics 4 Ergodic Theory and Dynamical Systems 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Algebras and Representation Theory 4 Journal of High Energy Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of the Institute of Mathematics of Jussieu 4 Bulletin of the American Mathematical Society 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Chaos, Solitons and Fractals 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Computation 3 Glasgow Mathematical Journal 3 Publications Mathématiques 3 Mathematische Nachrichten 3 Michigan Mathematical Journal 3 Tôhoku Mathematical Journal. Second Series 3 European Journal of Combinatorics 3 Discrete & Computational Geometry 3 Journal of the Ramanujan Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 LMS Journal of Computation and Mathematics 3 Central European Journal of Mathematics 3 Oberwolfach Reports 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Chebyshevskiĭ Sbornik 3 Proceedings of the Steklov Institute of Mathematics 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Mathematical Methods in the Applied Sciences ...and 124 more Serials all top 5 Cited in 52 Fields 1,007 Number theory (11-XX) 520 Algebraic geometry (14-XX) 120 Combinatorics (05-XX) 52 Ordinary differential equations (34-XX) 48 Dynamical systems and ergodic theory (37-XX) 38 Field theory and polynomials (12-XX) 32 Special functions (33-XX) 31 Convex and discrete geometry (52-XX) 24 Commutative algebra (13-XX) 24 Group theory and generalizations (20-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Topological groups, Lie groups (22-XX) 12 Mathematical logic and foundations (03-XX) 11 Associative rings and algebras (16-XX) 10 Functions of a complex variable (30-XX) 10 Probability theory and stochastic processes (60-XX) 9 Mechanics of particles and systems (70-XX) 8 General and overarching topics; collections (00-XX) 8 Numerical analysis (65-XX) 8 Quantum theory (81-XX) 8 Information and communication theory, circuits (94-XX) 7 \(K\)-theory (19-XX) 7 Geometry (51-XX) 7 Systems theory; control (93-XX) 6 History and biography (01-XX) 6 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Differential geometry (53-XX) 4 Algebraic topology (55-XX) 4 Operations research, mathematical programming (90-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Category theory; homological algebra (18-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-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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