Edit Profile Swinnerton-Dyer, Peter Compute Distance To: Compute Author ID: swinnerton-dyer.peter Published as: Swinnerton-Dyer, H. P. F.; Swinnerton-Dyer, P.; Swinnerton-Dyer, Peter; Swinnerton-Dyer, Sir Peter; Swinnterton-Dyer, H. P. F. External Links: MGP · Wikidata · dblp · GND Documents Indexed: 108 Publications since 1952, including 2 Books Biographic References: 3 Publications all top 5 Co-Authors 66 single-authored 9 Colliot-Thélène, Jean-Louis 6 Birch, Bryan John 4 Sansuc, Jean-Jacques 4 Skorobogatov, Alexei Nikolaïevitch 3 Barnes, E. S. 3 Cartwright, Mary Lucy 2 Atkin, Arthur Oliver Lonsdale 2 Sparrow, Colin T. 1 Artin, Michael 1 Barron, D. W. 1 Beauville, Arnaud 1 Bender, Andreas O. 1 Bombieri, Enrico 1 Bright, Martin 1 Cassels, J. W. S. 1 Coray, Daniel François 1 Croft, Hallard T. 1 Davenport, Harold 1 de la Bretèche, Régis 1 Lewis, Donald-J. 1 Mazur, Barry 1 Pinch, Richard G. E. 1 Rankin, F. K. C. 1 Rogers, Kenneth 1 Shepherd-Barron, Nicholas Ian 1 Slater, John B. 1 Wagenknecht, Thomas 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 5 Acta Arithmetica 5 Journal of the London Mathematical Society. Second Series 3 Acta Mathematica 3 Bulletin of the London Mathematical Society 3 Inventiones Mathematicae 2 The Computer Journal. Section A / Section B 2 Journal of Differential Equations 2 Mathematika 2 Dynamics and Stability of Systems 2 Journal of the London Mathematical Society 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 London Mathematical Society Lecture Note Series 1 London Mathematical Society Student Texts 1 Algebra & Number Theory all top 5 Fields 51 Algebraic geometry (14-XX) 46 Number theory (11-XX) 15 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 91 Publications have been cited 1,375 times in 1,144 Documents Cited by ▼ Year ▼ Some properties of partitions. Zbl 0055.03805Atkin, A. O. L.; Swinnerton-Dyer, P. 132 1954 Arithmetic of Weil curves. Zbl 0281.14016Mazur, B.; Swinnerton-Dyer, P. 130 1974 Notes on elliptic curves. II. Zbl 0147.02506Birch, B. J.; Swinnerton-Dyer, H. P. F. 78 1965 On l-adic representations and congruences for coefficients of modular forms. Zbl 0267.10032Swinnerton-Dyer, H. P. F. 67 1973 Notes on elliptic curves. I. Zbl 0118.27601Birch, B. J.; Swinnerton-Dyer, H. P. F. 49 1963 Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 47 1987 Stably rational non rational varieties. Zbl 0589.14042Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 47 1985 On the zeros of Eisenstein series. Zbl 0203.35504Rankin, F. K. C.; Swinnerton-Dyer, H. P. F. 46 1970 On the product of three homogeneous linear forms and indefinite ternary quadratic forms. Zbl 0065.27905Cassels, J. W. S.; Swinnerton-Dyer, H. P. F. 43 1955 Modular forms on noncongruence subgroups. Zbl 0235.10015Atkin, A. O. L.; Swinnerton-Dyer, H. P. F. 39 1971 The zeta function of a cubic surface over a finite field. Zbl 0201.53702Swinnerton-Dyer, H. P. F. 37 1967 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003Artin, M.; Swinnerton-Dyer, H. P. F. 34 1973 Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 33 1987 The number of lattice points on a convex curve. Zbl 0285.10020Swinnerton-Dyer, H. P. F. 29 1974 Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter 26 1994 Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions. Zbl 0984.37022Swinnerton-Dyer, Peter 23 2001 The Brauer group of cubic surfaces. Zbl 0804.14018Swinnerton-Dyer, Peter 23 1993 An enumeration of all varieties of degree 4. Zbl 0281.14023Swinnerton-Dyer, H. P. F. 23 1973 Note on a problem of Chowla. Zbl 0091.04301Birch, B. J.; Swinnerton-Dyer, H. P. F. 21 1959 Double fibres and double covers: Paucity of rational points. Zbl 0863.14011Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter 19 1997 The effect of twisting on the 2-Selmer group. Zbl 1242.11041Swinnerton-Dyer, Peter 18 2008 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 18 1998 Elliptic curves and modular functions. Zbl 1214.11081Swinnerton-Dyer, H. P. F.; Birch, B. J. 17 1975 The inhomogeneous minima of binary quadratic forms. I. Zbl 0046.27601Barnes, E. S.; Swinnerton-Dyer, H. P. F. 17 1952 On the local zeta function of a cubic threefold. Zbl 0153.50501Bombieri, E.; Swinnerton-Dyer, H. P. F. 16 1967 2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021Skorobogatov, Alexei; Swinnerton-Dyer, Peter 15 2005 The invariant algebraic surfaces of the Lorenz system. Zbl 1023.34033Swinnerton-Dyer, Peter 14 2002 Analytic theory of abelian varieties. Zbl 0299.14021Swinnerton-Dyer, H. P. F. 14 1974 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 13 1998 On the inhomogeneous minimum of the product of n linear forms. Zbl 0074.03702Birch, B. J.; Swinnerton-Dyer, H. P. F. 13 1956 Arithmetic of diagonal quartic surfaces. II. Zbl 1066.11029Swinnerton-Dyer, Peter 12 2002 A brief guide to algebraic number theory. Zbl 0963.11001Swinnerton-Dyer, H. P. F. 11 2001 The Hasse problem for rational surfaces. Zbl 0326.14007Birch, B. J.; Swinnterton-Dyer, H. P. F. 10 1974 Applications of algebraic geometry to number theory. Zbl 0228.14001Swinnerton-Dyer, H. P. F. 10 1971 Two special cubic surfaces. Zbl 0103.38302Swinnerton-Dyer, H. P. F. 10 1962 The inhomogeneous minima of binary quadratic forms. III. Zbl 0056.27301Barnes, E. S.; Swinnerton-Dyer, H. P. F. 10 1954 Extremal lattices of convex bodies. Zbl 0050.04805Swinnerton-Dyer, H. P. F. 10 1953 The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042Sparrow, C.; Swinnerton-Dyer, H. P. F. 9 2002 On the product of three homogeneous linear forms. Zbl 0227.10019Swinnerton-Dyer, H. P. F. 9 1971 Brauer-Manin obstructions on some Del Pezzo surfaces. Zbl 0951.14010Swinnerton-Dyer, Peter 8 1999 The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028Swinnerton-Dyer, H. P. F.; Sparrow, C. T. 8 1995 On l-adic representations and congruences for coefficients of modular forms. II. Zbl 0392.10030Swinnerton-Dyer, H. P. F. 8 1977 Rational points on del Pezzo surfaces of degree 5. Zbl 0275.14013Swinnerton-Dyer, H. P. F. 8 1972 The conjectures of Birch and Swinnerton-Dyer, and of Tate. Zbl 0197.47101Swinnerton-Dyer, P. 8 1967 Some third-order ordinary differential equations. Zbl 1151.37023Swinnerton-Dyer, Peter; Wagenknecht, Thomas 7 2008 The solubility of diagonal cubic surfaces. Zbl 1003.11028Swinnerton-Dyer, Peter 7 2001 The inhomogeneous minima of binary quadratic forms. II. Zbl 0047.28102Barnes, E. S.; Swinnerton-Dyer, H. P. F. 7 1952 Computing the Brauer-Manin obstructions. Zbl 1057.14022Bright, Martin; Swinnerton-Dyer, Peter 6 2004 Cubic surfaces over finite fields. Zbl 1222.11081Swinnerton-Dyer, Peter 5 2010 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 Rational points on pencils of conics and on pencils of quadrics. Zbl 1043.11530Swinnerton-Dyer, Peter 5 1994 Arithmetic of diagonal quartic surfaces. I. Zbl 0736.14006Pinch, R. G. E.; Swinnerton-Dyer, H. P. F. 5 1991 The birationality of cubic surfaces over a given field. Zbl 0224.14011Swinnerton-Dyer, H. P. F. 5 1970 A solution of \({A^5+B^5+C^5=D^5+E^5+F^5}\). Zbl 0046.26602Swinnerton-Dyer, H. P. F. 5 1952 Density of rational points on certain surfaces. Zbl 1277.11070Swinnerton-Dyer, H. P. F. 4 2013 Height zeta function of a cubic surface. Zbl 1207.11068de la Bretèche, Régis; Swinnerton-Dyer, Peter 4 2007 Weak approximation and \(R\)-equivalence on cubic surfaces. Zbl 1079.11035Swinnerton-Dyer, Peter 4 2001 Some applications of Schinzel’s hypothesis to Diophantine equations. Zbl 0937.11024Swinnerton-Dyer, Peter 4 1999 Rational points on certain intersections of two quadrics. Zbl 0849.14009Swinnerton-Dyer, Peter 4 1995 Counting rational points on cubic surfaces. Zbl 0844.14008Swinnerton-Dyer, Peter 4 1994 Boundedness theorems for some second order differential equations. I. Zbl 0292.34023Cartwright, Mary L.; Swinnerton-Dyer, H. P. F. 4 1974 Counting points on cubic surfaces. II. Zbl 1127.11043Swinnerton-Dyer, Peter 3 2005 Diophantine equations: progress and problems. Zbl 1197.11071Swinnerton-Dyer, Peter 3 2004 Rational points on some pencils of conics with 6 singular fibres. Zbl 0976.14014Swinnerton-Dyer, Peter 3 1999 The basic Lorenz list and Sparrow’s conjecture A. Zbl 0624.58021Swinnerton-Dyer, H. P. F. 3 1984 Small parameter theory: the method of averaging. Zbl 0399.34038Swinnerton-Dyer, Peter 3 1977 The boundedness of solutions of systems of differential equations. Zbl 0361.34028Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 3 1977 Rational zeros of two quadratic forms. Zbl 0128.04702Swinnerton-Dyer, H. P. F. 3 1964 On the Steinhaus billiard table problem. Zbl 0116.39604Croft, H. T.; Swinnerton-Dyer, H. P. F. 3 1963 Solution of simultaneous linear equations using a magnetic-tape store. Zbl 0091.29701Barron, D. W.; Swinnerton-Dyer, H. P. F. 3 1960 The geometry of numbers over algebraic number fields. Zbl 0083.26206Rogers, K.; Swinnerton-Dyer, H. P. F. 3 1958 Inhomogeneous lattices. Zbl 0055.04203Swinnerton-Dyer, H. P. F. 3 1954 \(2^n\)-descent on elliptic curves for all \(n\). Zbl 1294.11091Swinnerton-Dyer, H. P. F. 2 2013 Topics in Diophantine equations. Zbl 1238.11002Swinnerton-Dyer, Peter 2 2011 The justification of mathematical statements. Zbl 1152.00307Swinnerton-Dyer, Peter 2 2005 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 Boundedness theorems for some second-order differential equations. IV. Zbl 0429.34037Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 2 1979 On a problem of Littlewood concerning Riccati’s equation. Zbl 0211.12004Swinnerton-Dyer, H. P. F. 2 1969 Curves of small genus on certain \(K3\) surfaces. Zbl 1371.14043Swinnerton-Dyer, Sir Peter 1 2016 Rational points on fibered surfaces. Zbl 1101.14027Swinnerton-Dyer, Peter 1 2004 A note on Liapunov’s method. Zbl 1040.34062Swinnerton-Dyer, Peter 1 2000 Counting points on cubic surfaces. I. Zbl 0969.11027Slater, John B.; Swinnerton-Dyer, Peter 1 1998 Congruence properties of \(\tau\) (n). Zbl 0655.10028Swinnerton-Dyer, H. P. F. 1 1988 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. 1 1981 The Hopf bifurcation theorem in three dimensions. Zbl 0365.34041Swinnerton-Dyer, Peter 1 1977 Almost-conservative second-order differential equations. Zbl 0314.34054Swinnerton-Dyer, H. P. F. 1 1975 An outline of Hodge theory. Zbl 0273.14002Swinnerton-Dyer, H. P. F. 1 1972 \(A^ 4+B^ 4=C^ 4+D^ 4\) revisited. Zbl 0206.33703Swinnerton-Dyer, H. P. F. 1 1968 Products of inhomogeneous linear forms. Zbl 0065.03201Davenport, Harold; Swinnerton-Dyer, H. P. F. 1 1955 The inhomogeneous minima of complex cubic normal forms. Zbl 0055.04202Swinnerton-Dyer, H. P. F. 1 1954 Curves of small genus on certain \(K3\) surfaces. Zbl 1371.14043Swinnerton-Dyer, Sir Peter 1 2016 Density of rational points on certain surfaces. Zbl 1277.11070Swinnerton-Dyer, H. P. F. 4 2013 \(2^n\)-descent on elliptic curves for all \(n\). Zbl 1294.11091Swinnerton-Dyer, H. P. F. 2 2013 Topics in Diophantine equations. Zbl 1238.11002Swinnerton-Dyer, Peter 2 2011 Cubic surfaces over finite fields. Zbl 1222.11081Swinnerton-Dyer, Peter 5 2010 The effect of twisting on the 2-Selmer group. Zbl 1242.11041Swinnerton-Dyer, Peter 18 2008 Some third-order ordinary differential equations. Zbl 1151.37023Swinnerton-Dyer, Peter; Wagenknecht, Thomas 7 2008 Height zeta function of a cubic surface. Zbl 1207.11068de la Bretèche, Régis; Swinnerton-Dyer, Peter 4 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 3 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 The invariant algebraic surfaces of the Lorenz system. Zbl 1023.34033Swinnerton-Dyer, Peter 14 2002 Arithmetic of diagonal quartic surfaces. II. Zbl 1066.11029Swinnerton-Dyer, Peter 12 2002 The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042Sparrow, C.; Swinnerton-Dyer, H. P. F. 9 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. 11 2001 The solubility of diagonal cubic surfaces. Zbl 1003.11028Swinnerton-Dyer, Peter 7 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 4 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 8 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 3 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 18 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 13 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 19 1997 The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028Swinnerton-Dyer, H. P. F.; Sparrow, C. T. 8 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 26 1994 Rational points on pencils of conics and on pencils of quadrics. Zbl 1043.11530Swinnerton-Dyer, Peter 5 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 23 1993 Arithmetic of diagonal quartic surfaces. I. Zbl 0736.14006Pinch, R. G. E.; Swinnerton-Dyer, H. P. F. 5 1991 Congruence properties of \(\tau\) (n). Zbl 0655.10028Swinnerton-Dyer, H. P. F. 1 1988 Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 47 1987 Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 33 1987 Stably rational non rational varieties. Zbl 0589.14042Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter 47 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. 1 1981 Boundedness theorems for some second-order differential equations. IV. Zbl 0429.34037Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 2 1979 On l-adic representations and congruences for coefficients of modular forms. II. Zbl 0392.10030Swinnerton-Dyer, H. P. F. 8 1977 Small parameter theory: the method of averaging. Zbl 0399.34038Swinnerton-Dyer, Peter 3 1977 The boundedness of solutions of systems of differential equations. Zbl 0361.34028Cartwright, M. L.; Swinnerton-Dyer, H. P. F. 3 1977 The Hopf bifurcation theorem in three dimensions. Zbl 0365.34041Swinnerton-Dyer, Peter 1 1977 Elliptic curves and modular functions. Zbl 1214.11081Swinnerton-Dyer, H. P. F.; Birch, B. J. 17 1975 Almost-conservative second-order differential equations. Zbl 0314.34054Swinnerton-Dyer, H. P. F. 1 1975 Arithmetic of Weil curves. Zbl 0281.14016Mazur, B.; Swinnerton-Dyer, P. 130 1974 The number of lattice points on a convex curve. Zbl 0285.10020Swinnerton-Dyer, H. P. F. 29 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. 10 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. 67 1973 The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003Artin, M.; Swinnerton-Dyer, H. P. F. 34 1973 An enumeration of all varieties of degree 4. Zbl 0281.14023Swinnerton-Dyer, H. P. F. 23 1973 Rational points on del Pezzo surfaces of degree 5. Zbl 0275.14013Swinnerton-Dyer, H. P. F. 8 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. 39 1971 Applications of algebraic geometry to number theory. Zbl 0228.14001Swinnerton-Dyer, H. P. F. 10 1971 On the product of three homogeneous linear forms. Zbl 0227.10019Swinnerton-Dyer, H. P. F. 9 1971 On the zeros of Eisenstein series. Zbl 0203.35504Rankin, F. K. C.; Swinnerton-Dyer, H. P. F. 46 1970 The birationality of cubic surfaces over a given field. Zbl 0224.14011Swinnerton-Dyer, H. P. F. 5 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. 1 1968 The zeta function of a cubic surface over a finite field. Zbl 0201.53702Swinnerton-Dyer, H. P. F. 37 1967 On the local zeta function of a cubic threefold. Zbl 0153.50501Bombieri, E.; Swinnerton-Dyer, H. P. F. 16 1967 The conjectures of Birch and Swinnerton-Dyer, and of Tate. Zbl 0197.47101Swinnerton-Dyer, P. 8 1967 Notes on elliptic curves. II. Zbl 0147.02506Birch, B. J.; Swinnerton-Dyer, H. P. F. 78 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. 49 1963 On the Steinhaus billiard table problem. Zbl 0116.39604Croft, H. T.; Swinnerton-Dyer, H. P. F. 3 1963 Two special cubic surfaces. Zbl 0103.38302Swinnerton-Dyer, H. P. F. 10 1962 Solution of simultaneous linear equations using a magnetic-tape store. Zbl 0091.29701Barron, D. W.; Swinnerton-Dyer, H. P. F. 3 1960 Note on a problem of Chowla. Zbl 0091.04301Birch, B. J.; Swinnerton-Dyer, H. P. F. 21 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. 13 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. 43 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. 132 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. 10 1953 The inhomogeneous minima of binary quadratic forms. I. Zbl 0046.27601Barnes, E. S.; Swinnerton-Dyer, H. P. F. 17 1952 The inhomogeneous minima of binary quadratic forms. II. Zbl 0047.28102Barnes, E. S.; Swinnerton-Dyer, H. P. F. 7 1952 A solution of \({A^5+B^5+C^5=D^5+E^5+F^5}\). Zbl 0046.26602Swinnerton-Dyer, H. P. F. 5 1952 all cited Publications top 5 cited Publications all top 5 Cited by 1,094 Authors 17 Skorobogatov, Alexei Nikolaïevitch 16 Bringmann, Kathrin 16 Colliot-Thélène, Jean-Louis 15 Mazur, Barry 14 Garvan, Frank G. 13 Ono, Ken 12 Jennings-Shaffer, Chris 11 Browning, Timothy Daniel 11 Swinnerton-Dyer, Peter 10 Andrews, George Eyre 10 Chan, Song Heng 10 Jahnel, Jörg 10 Shlapentokh, Alexandra 9 Mao, Renrong 9 Vâjâitu, Marian 8 Folsom, Amanda 8 Heath-Brown, Roger 8 Raka, Madhu 8 Rhoades, Robert C. 8 Zaharescu, Alexandru 7 Choi, Dohoon 7 Elsenhans, Andreas-Stephan 7 Fisher, Tom A. 7 Huxley, Martin N. 7 Im, Bo-Hae 7 Long, Ling 7 Rubin, Karl Cooper 7 Tschinkel, Yuri 6 Ahlgren, Scott D. 6 Alexandru, Victor 6 Algaba, Antonio 6 Auel, Asher Natan 6 Barnes, E. S. 6 Choi, Soyoung 6 Creutz, Brendan 6 de la Bretèche, Régis 6 Dummigan, Neil 6 Llibre, Jaume 6 Lovejoy, Jeremy 6 Merino, Manuel 6 Poonen, Bjorn 6 Rodríguez-Luis, Alejandro J. 6 Schütt, Matthias 6 Swisher, Holly 6 Valls Anglés, Cláudia 6 Várilly-Alvarado, Anthony 6 Viray, Bianca 5 Bremner, Andrew 5 Fernández-Sánchez, Fernando 5 Flynn, Eugene Victor 5 German, Oleg N. 5 Harari, David 5 Hickerson, Dean R. 5 Kim, Byungchan 5 Krishchenko, Alexander P. 5 Liang, Yongqi 5 Lindenstrauss, Elon 5 Miller, Steven J. 5 Momose, Fumiyuki 5 Ogg, Andrew P. 5 Popescu, Nicolae N. 5 Shapira, Uri 5 Wittenberg, Olivier 4 Berkovich, Alexander 4 Bright, Martin 4 Cremona, John E. 4 Einsiedler, Manfred Leopold 4 Franc, Cameron 4 Gruber, Peter Manfred 4 Guerzhoy, Pavel I. 4 Gun, Sanoli 4 Hans-Gill, Rajinder J. 4 Harris, Michael Howard 4 Kanel’-Belov, Alekseĭ Yakovlevich 4 Kathuria, Leetika 4 Klagsbrun, Zev 4 Loughran, Daniel 4 Mahlburg, Karl 4 Mason, Geoffrey 4 Mortenson, Eric T. 4 Murty, Maruti Ram 4 Nagaoka, Shoyu 4 Peyre, Emmanuel 4 Richter, Olav K. 4 Roulleau, Xavier 4 Schindler, Damaris 4 Skubenko, Boris Fadeevich 4 Wei, Dasheng 4 Yu, Jie-Tai 4 Zarkhin, Yuriĭ Gennad’evich 4 Zhang, Fuchen 3 Ballico, Edoardo 3 Berndt, Bruce Carl 3 Bertolini, Massimo 3 Bhargava, Manjul 3 Blanksby, P. E. 3 Böcherer, Siegfried 3 Böhning, Christian 3 Boylan, Matthew 3 Bruno, Alexander Dmitrievich ...and 994 more Authors all top 5 Cited in 200 Serials 118 Journal of Number Theory 56 Inventiones Mathematicae 42 Duke Mathematical Journal 39 Proceedings of the American Mathematical Society 37 Transactions of the American Mathematical Society 33 Compositio Mathematica 33 The Ramanujan Journal 32 Advances in Mathematics 32 International Journal of Number Theory 31 Mathematics of Computation 31 Journal de Théorie des Nombres de Bordeaux 30 Mathematische Annalen 22 Journal of Algebra 20 Manuscripta Mathematica 15 Mathematical Proceedings of the Cambridge Philosophical Society 14 Bulletin of the American Mathematical Society. New Series 13 Mathematische Zeitschrift 12 Annales de l’Institut Fourier 12 Annals of Mathematics. Second Series 11 Journal of Mathematical Analysis and Applications 11 Journal of Soviet Mathematics 11 Mathematika 10 Israel Journal of Mathematics 10 Rocky Mountain Journal of Mathematics 10 Acta Arithmetica 10 Acta Mathematica 10 Journal für die Reine und Angewandte Mathematik 9 Journal of Combinatorial Theory. Series A 9 Journal of Pure and Applied Algebra 9 Journal of the Australian Mathematical Society 8 Journal of Symbolic Computation 7 Communications in Algebra 7 Mathematical Notes 7 Proceedings of the Japan Academy. Series A 7 Physica D 7 Journal of Mathematical Sciences (New York) 7 Annals of Combinatorics 7 Research in the Mathematical Sciences 7 Research in Number Theory 6 Bulletin of the Australian Mathematical Society 6 Archiv der Mathematik 6 Monatshefte für Mathematik 6 Journal of the American Mathematical Society 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Functiones et Approximatio. Commentarii Mathematici 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Journal of Algebraic Geometry 5 Finite Fields and their Applications 5 Journal of the European Mathematical Society (JEMS) 5 Science China. Mathematics 4 Indian Journal of Pure & Applied Mathematics 4 Physics Letters. A 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Functional Analysis and its Applications 4 Journal of Differential Equations 4 Nagoya Mathematical Journal 4 Proceedings of the London Mathematical Society. Third Series 4 Rendiconti del Seminario Matematico della Università di Padova 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Experimental Mathematics 4 Bulletin des Sciences Mathématiques 4 Algebras and Representation Theory 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Bulletin of the American Mathematical Society 3 Discrete Mathematics 3 Journal of Mathematical Physics 3 Russian Mathematical Surveys 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Applied Mathematics and Computation 3 Canadian Mathematical Bulletin 3 Geometriae Dedicata 3 Glasgow Mathematical Journal 3 Michigan Mathematical Journal 3 Tohoku Mathematical Journal. Second Series 3 European Journal of Combinatorics 3 Ergodic Theory and Dynamical Systems 3 Forum Mathematicum 3 Geometric and Functional Analysis. GAFA 3 LMS Journal of Computation and Mathematics 3 Central European Journal of Mathematics 3 Journal of the Institute of Mathematics of Jussieu 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Chebyshevskiĭ Sbornik 3 Proceedings of the Steklov Institute of Mathematics 3 Algebra & Number Theory 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 The Mathematical Intelligencer 2 Bulletin de la Société Mathématique de France 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 The Journal of the Indian Mathematical Society. New Series 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Theoretical Computer Science 2 Discrete & Computational Geometry 2 \(K\)-Theory ...and 100 more Serials all top 5 Cited in 50 Fields 833 Number theory (11-XX) 436 Algebraic geometry (14-XX) 82 Combinatorics (05-XX) 48 Ordinary differential equations (34-XX) 47 Dynamical systems and ergodic theory (37-XX) 33 Field theory and polynomials (12-XX) 29 Convex and discrete geometry (52-XX) 28 Special functions (33-XX) 23 Commutative algebra (13-XX) 20 Group theory and generalizations (20-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Topological groups, Lie groups (22-XX) 11 Mathematical logic and foundations (03-XX) 10 Associative rings and algebras (16-XX) 9 Functions of a complex variable (30-XX) 8 Probability theory and stochastic processes (60-XX) 8 Mechanics of particles and systems (70-XX) 7 Numerical analysis (65-XX) 7 Systems theory; control (93-XX) 7 Information and communication theory, circuits (94-XX) 6 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 \(K\)-theory (19-XX) 5 Geometry (51-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Operations research, mathematical programming (90-XX) 3 Nonassociative rings and algebras (17-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 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 Order, lattices, ordered algebraic structures (06-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 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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