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Swinnerton-Dyer, Peter

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Author ID: swinnerton-dyer.peter Recent zbMATH articles by "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
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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

Publications by Year

Citations contained in zbMATH

91 Publications have been cited 1,375 times in 1,144 Documents Cited by Year
Some properties of partitions. Zbl 0055.03805
Atkin, A. O. L.; Swinnerton-Dyer, P.
132
1954
Arithmetic of Weil curves. Zbl 0281.14016
Mazur, B.; Swinnerton-Dyer, P.
130
1974
Notes on elliptic curves. II. Zbl 0147.02506
Birch, B. J.; Swinnerton-Dyer, H. P. F.
78
1965
On l-adic representations and congruences for coefficients of modular forms. Zbl 0267.10032
Swinnerton-Dyer, H. P. F.
67
1973
Notes on elliptic curves. I. Zbl 0118.27601
Birch, B. J.; Swinnerton-Dyer, H. P. F.
49
1963
Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029
Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter
47
1987
Stably rational non rational varieties. Zbl 0589.14042
Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter
47
1985
On the zeros of Eisenstein series. Zbl 0203.35504
Rankin, F. K. C.; Swinnerton-Dyer, H. P. F.
46
1970
On the product of three homogeneous linear forms and indefinite ternary quadratic forms. Zbl 0065.27905
Cassels, J. W. S.; Swinnerton-Dyer, H. P. F.
43
1955
Modular forms on noncongruence subgroups. Zbl 0235.10015
Atkin, A. O. L.; Swinnerton-Dyer, H. P. F.
39
1971
The zeta function of a cubic surface over a finite field. Zbl 0201.53702
Swinnerton-Dyer, H. P. F.
37
1967
The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003
Artin, M.; Swinnerton-Dyer, H. P. F.
34
1973
Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030
Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter
33
1987
The number of lattice points on a convex curve. Zbl 0285.10020
Swinnerton-Dyer, H. P. F.
29
1974
Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010
Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter
26
1994
Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions. Zbl 0984.37022
Swinnerton-Dyer, Peter
23
2001
The Brauer group of cubic surfaces. Zbl 0804.14018
Swinnerton-Dyer, Peter
23
1993
An enumeration of all varieties of degree 4. Zbl 0281.14023
Swinnerton-Dyer, H. P. F.
23
1973
Note on a problem of Chowla. Zbl 0091.04301
Birch, B. J.; Swinnerton-Dyer, H. P. F.
21
1959
Double fibres and double covers: Paucity of rational points. Zbl 0863.14011
Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter
19
1997
The effect of twisting on the 2-Selmer group. Zbl 1242.11041
Swinnerton-Dyer, Peter
18
2008
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
18
1998
Elliptic curves and modular functions. Zbl 1214.11081
Swinnerton-Dyer, H. P. F.; Birch, B. J.
17
1975
The inhomogeneous minima of binary quadratic forms. I. Zbl 0046.27601
Barnes, E. S.; Swinnerton-Dyer, H. P. F.
17
1952
On the local zeta function of a cubic threefold. Zbl 0153.50501
Bombieri, E.; Swinnerton-Dyer, H. P. F.
16
1967
2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021
Skorobogatov, Alexei; Swinnerton-Dyer, Peter
15
2005
The invariant algebraic surfaces of the Lorenz system. Zbl 1023.34033
Swinnerton-Dyer, Peter
14
2002
Analytic theory of abelian varieties. Zbl 0299.14021
Swinnerton-Dyer, H. P. F.
14
1974
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
13
1998
On the inhomogeneous minimum of the product of n linear forms. Zbl 0074.03702
Birch, B. J.; Swinnerton-Dyer, H. P. F.
13
1956
Arithmetic of diagonal quartic surfaces. II. Zbl 1066.11029
Swinnerton-Dyer, Peter
12
2002
A brief guide to algebraic number theory. Zbl 0963.11001
Swinnerton-Dyer, H. P. F.
11
2001
The Hasse problem for rational surfaces. Zbl 0326.14007
Birch, B. J.; Swinnterton-Dyer, H. P. F.
10
1974
Applications of algebraic geometry to number theory. Zbl 0228.14001
Swinnerton-Dyer, H. P. F.
10
1971
Two special cubic surfaces. Zbl 0103.38302
Swinnerton-Dyer, H. P. F.
10
1962
The inhomogeneous minima of binary quadratic forms. III. Zbl 0056.27301
Barnes, E. S.; Swinnerton-Dyer, H. P. F.
10
1954
Extremal lattices of convex bodies. Zbl 0050.04805
Swinnerton-Dyer, H. P. F.
10
1953
The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits. Zbl 1017.34042
Sparrow, C.; Swinnerton-Dyer, H. P. F.
9
2002
On the product of three homogeneous linear forms. Zbl 0227.10019
Swinnerton-Dyer, H. P. F.
9
1971
Brauer-Manin obstructions on some Del Pezzo surfaces. Zbl 0951.14010
Swinnerton-Dyer, Peter
8
1999
The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028
Swinnerton-Dyer, H. P. F.; Sparrow, C. T.
8
1995
On l-adic representations and congruences for coefficients of modular forms. II. Zbl 0392.10030
Swinnerton-Dyer, H. P. F.
8
1977
Rational points on del Pezzo surfaces of degree 5. Zbl 0275.14013
Swinnerton-Dyer, H. P. F.
8
1972
The conjectures of Birch and Swinnerton-Dyer, and of Tate. Zbl 0197.47101
Swinnerton-Dyer, P.
8
1967
Some third-order ordinary differential equations. Zbl 1151.37023
Swinnerton-Dyer, Peter; Wagenknecht, Thomas
7
2008
The solubility of diagonal cubic surfaces. Zbl 1003.11028
Swinnerton-Dyer, Peter
7
2001
The inhomogeneous minima of binary quadratic forms. II. Zbl 0047.28102
Barnes, E. S.; Swinnerton-Dyer, H. P. F.
7
1952
Computing the Brauer-Manin obstructions. Zbl 1057.14022
Bright, Martin; Swinnerton-Dyer, Peter
6
2004
Cubic surfaces over finite fields. Zbl 1222.11081
Swinnerton-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 1018.11031
Bender, A. O.; Swinnerton-Dyer, Peter
5
2001
Rational points on pencils of conics and on pencils of quadrics. Zbl 1043.11530
Swinnerton-Dyer, Peter
5
1994
Arithmetic of diagonal quartic surfaces. I. Zbl 0736.14006
Pinch, R. G. E.; Swinnerton-Dyer, H. P. F.
5
1991
The birationality of cubic surfaces over a given field. Zbl 0224.14011
Swinnerton-Dyer, H. P. F.
5
1970
A solution of \({A^5+B^5+C^5=D^5+E^5+F^5}\). Zbl 0046.26602
Swinnerton-Dyer, H. P. F.
5
1952
Density of rational points on certain surfaces. Zbl 1277.11070
Swinnerton-Dyer, H. P. F.
4
2013
Height zeta function of a cubic surface. Zbl 1207.11068
de la Bretèche, Régis; Swinnerton-Dyer, Peter
4
2007
Weak approximation and \(R\)-equivalence on cubic surfaces. Zbl 1079.11035
Swinnerton-Dyer, Peter
4
2001
Some applications of Schinzel’s hypothesis to Diophantine equations. Zbl 0937.11024
Swinnerton-Dyer, Peter
4
1999
Rational points on certain intersections of two quadrics. Zbl 0849.14009
Swinnerton-Dyer, Peter
4
1995
Counting rational points on cubic surfaces. Zbl 0844.14008
Swinnerton-Dyer, Peter
4
1994
Boundedness theorems for some second order differential equations. I. Zbl 0292.34023
Cartwright, Mary L.; Swinnerton-Dyer, H. P. F.
4
1974
Counting points on cubic surfaces. II. Zbl 1127.11043
Swinnerton-Dyer, Peter
3
2005
Diophantine equations: progress and problems. Zbl 1197.11071
Swinnerton-Dyer, Peter
3
2004
Rational points on some pencils of conics with 6 singular fibres. Zbl 0976.14014
Swinnerton-Dyer, Peter
3
1999
The basic Lorenz list and Sparrow’s conjecture A. Zbl 0624.58021
Swinnerton-Dyer, H. P. F.
3
1984
Small parameter theory: the method of averaging. Zbl 0399.34038
Swinnerton-Dyer, Peter
3
1977
The boundedness of solutions of systems of differential equations. Zbl 0361.34028
Cartwright, M. L.; Swinnerton-Dyer, H. P. F.
3
1977
Rational zeros of two quadratic forms. Zbl 0128.04702
Swinnerton-Dyer, H. P. F.
3
1964
On the Steinhaus billiard table problem. Zbl 0116.39604
Croft, H. T.; Swinnerton-Dyer, H. P. F.
3
1963
Solution of simultaneous linear equations using a magnetic-tape store. Zbl 0091.29701
Barron, D. W.; Swinnerton-Dyer, H. P. F.
3
1960
The geometry of numbers over algebraic number fields. Zbl 0083.26206
Rogers, K.; Swinnerton-Dyer, H. P. F.
3
1958
Inhomogeneous lattices. Zbl 0055.04203
Swinnerton-Dyer, H. P. F.
3
1954
\(2^n\)-descent on elliptic curves for all \(n\). Zbl 1294.11091
Swinnerton-Dyer, H. P. F.
2
2013
Topics in Diophantine equations. Zbl 1238.11002
Swinnerton-Dyer, Peter
2
2011
The justification of mathematical statements. Zbl 1152.00307
Swinnerton-Dyer, Peter
2
2005
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
Boundedness theorems for some second-order differential equations. IV. Zbl 0429.34037
Cartwright, M. L.; Swinnerton-Dyer, H. P. F.
2
1979
On a problem of Littlewood concerning Riccati’s equation. Zbl 0211.12004
Swinnerton-Dyer, H. P. F.
2
1969
Curves of small genus on certain \(K3\) surfaces. Zbl 1371.14043
Swinnerton-Dyer, Sir Peter
1
2016
Rational points on fibered surfaces. Zbl 1101.14027
Swinnerton-Dyer, Peter
1
2004
A note on Liapunov’s method. Zbl 1040.34062
Swinnerton-Dyer, Peter
1
2000
Counting points on cubic surfaces. I. Zbl 0969.11027
Slater, John B.; Swinnerton-Dyer, Peter
1
1998
Congruence properties of \(\tau\) (n). Zbl 0655.10028
Swinnerton-Dyer, H. P. F.
1
1988
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.
1
1981
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
An outline of Hodge theory. Zbl 0273.14002
Swinnerton-Dyer, H. P. F.
1
1972
\(A^ 4+B^ 4=C^ 4+D^ 4\) revisited. Zbl 0206.33703
Swinnerton-Dyer, H. P. F.
1
1968
Products of inhomogeneous linear forms. Zbl 0065.03201
Davenport, Harold; Swinnerton-Dyer, H. P. F.
1
1955
The inhomogeneous minima of complex cubic normal forms. Zbl 0055.04202
Swinnerton-Dyer, H. P. F.
1
1954
Curves of small genus on certain \(K3\) surfaces. Zbl 1371.14043
Swinnerton-Dyer, Sir Peter
1
2016
Density of rational points on certain surfaces. Zbl 1277.11070
Swinnerton-Dyer, H. P. F.
4
2013
\(2^n\)-descent on elliptic curves for all \(n\). Zbl 1294.11091
Swinnerton-Dyer, H. P. F.
2
2013
Topics in Diophantine equations. Zbl 1238.11002
Swinnerton-Dyer, Peter
2
2011
Cubic surfaces over finite fields. Zbl 1222.11081
Swinnerton-Dyer, Peter
5
2010
The effect of twisting on the 2-Selmer group. Zbl 1242.11041
Swinnerton-Dyer, Peter
18
2008
Some third-order ordinary differential equations. Zbl 1151.37023
Swinnerton-Dyer, Peter; Wagenknecht, Thomas
7
2008
Height zeta function of a cubic surface. Zbl 1207.11068
de la Bretèche, Régis; Swinnerton-Dyer, Peter
4
2007
2-descent on elliptic curves and rational points on certain Kummer surfaces. Zbl 1085.14021
Skorobogatov, Alexei; Swinnerton-Dyer, Peter
15
2005
Counting points on cubic surfaces. II. Zbl 1127.11043
Swinnerton-Dyer, Peter
3
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
The invariant algebraic surfaces of the Lorenz system. Zbl 1023.34033
Swinnerton-Dyer, Peter
14
2002
Arithmetic of diagonal quartic surfaces. II. Zbl 1066.11029
Swinnerton-Dyer, Peter
12
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.
9
2002
Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions. Zbl 0984.37022
Swinnerton-Dyer, Peter
23
2001
A brief guide to algebraic number theory. Zbl 0963.11001
Swinnerton-Dyer, H. P. F.
11
2001
The solubility of diagonal cubic surfaces. Zbl 1003.11028
Swinnerton-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 1018.11031
Bender, A. O.; Swinnerton-Dyer, Peter
5
2001
Weak approximation and \(R\)-equivalence on cubic surfaces. Zbl 1079.11035
Swinnerton-Dyer, Peter
4
2001
A note on Liapunov’s method. Zbl 1040.34062
Swinnerton-Dyer, Peter
1
2000
Brauer-Manin obstructions on some Del Pezzo surfaces. Zbl 0951.14010
Swinnerton-Dyer, Peter
8
1999
Some applications of Schinzel’s hypothesis to Diophantine equations. Zbl 0937.11024
Swinnerton-Dyer, Peter
4
1999
Rational points on some pencils of conics with 6 singular fibres. Zbl 0976.14014
Swinnerton-Dyer, Peter
3
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
18
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
13
1998
Counting points on cubic surfaces. I. Zbl 0969.11027
Slater, John B.; Swinnerton-Dyer, Peter
1
1998
Double fibres and double covers: Paucity of rational points. Zbl 0863.14011
Colliot-Thélène, J.-L.; Skorobogatov, A. N.; Swinnerton-Dyer, Peter
19
1997
The Falkner-Skan equation. I: The creation of strange invariant sets. Zbl 0828.34028
Swinnerton-Dyer, H. P. F.; Sparrow, C. T.
8
1995
Rational points on certain intersections of two quadrics. Zbl 0849.14009
Swinnerton-Dyer, Peter
4
1995
Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties. Zbl 0805.14010
Colliot-Thélène, Jean-Louis; Swinnerton-Dyer, Peter
26
1994
Rational points on pencils of conics and on pencils of quadrics. Zbl 1043.11530
Swinnerton-Dyer, Peter
5
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
23
1993
Arithmetic of diagonal quartic surfaces. I. Zbl 0736.14006
Pinch, R. G. E.; Swinnerton-Dyer, H. P. F.
5
1991
Congruence properties of \(\tau\) (n). Zbl 0655.10028
Swinnerton-Dyer, H. P. F.
1
1988
Intersections of two quadrics and Châtelet surfaces. I. Zbl 0622.14029
Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter
47
1987
Intersections of two quadrics and Châtelet surfaces. II. Zbl 0622.14030
Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter
33
1987
Stably rational non rational varieties. Zbl 0589.14042
Beauville, Arnaud; Colliot-Théléne, Jean-Louis; Sansuc, Jean-Jacques; Swinnerton-Dyer, Peter
47
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.
1
1981
Boundedness theorems for some second-order differential equations. IV. Zbl 0429.34037
Cartwright, M. L.; Swinnerton-Dyer, H. P. F.
2
1979
On l-adic representations and congruences for coefficients of modular forms. II. Zbl 0392.10030
Swinnerton-Dyer, H. P. F.
8
1977
Small parameter theory: the method of averaging. Zbl 0399.34038
Swinnerton-Dyer, Peter
3
1977
The boundedness of solutions of systems of differential equations. Zbl 0361.34028
Cartwright, M. L.; Swinnerton-Dyer, H. P. F.
3
1977
The Hopf bifurcation theorem in three dimensions. Zbl 0365.34041
Swinnerton-Dyer, Peter
1
1977
Elliptic curves and modular functions. Zbl 1214.11081
Swinnerton-Dyer, H. P. F.; Birch, B. J.
17
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.
130
1974
The number of lattice points on a convex curve. Zbl 0285.10020
Swinnerton-Dyer, H. P. F.
29
1974
Analytic theory of abelian varieties. Zbl 0299.14021
Swinnerton-Dyer, H. P. F.
14
1974
The Hasse problem for rational surfaces. Zbl 0326.14007
Birch, B. J.; Swinnterton-Dyer, H. P. F.
10
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.
67
1973
The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces. Zbl 0289.14003
Artin, M.; Swinnerton-Dyer, H. P. F.
34
1973
An enumeration of all varieties of degree 4. Zbl 0281.14023
Swinnerton-Dyer, H. P. F.
23
1973
Rational points on del Pezzo surfaces of degree 5. Zbl 0275.14013
Swinnerton-Dyer, H. P. F.
8
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.
39
1971
Applications of algebraic geometry to number theory. Zbl 0228.14001
Swinnerton-Dyer, H. P. F.
10
1971
On the product of three homogeneous linear forms. Zbl 0227.10019
Swinnerton-Dyer, H. P. F.
9
1971
On the zeros of Eisenstein series. Zbl 0203.35504
Rankin, F. K. C.; Swinnerton-Dyer, H. P. F.
46
1970
The birationality of cubic surfaces over a given field. Zbl 0224.14011
Swinnerton-Dyer, H. P. F.
5
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.
1
1968
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.
16
1967
The conjectures of Birch and Swinnerton-Dyer, and of Tate. Zbl 0197.47101
Swinnerton-Dyer, P.
8
1967
Notes on elliptic curves. II. Zbl 0147.02506
Birch, B. J.; Swinnerton-Dyer, H. P. F.
78
1965
Rational zeros of two quadratic forms. Zbl 0128.04702
Swinnerton-Dyer, H. P. F.
3
1964
Notes on elliptic curves. I. Zbl 0118.27601
Birch, B. J.; Swinnerton-Dyer, H. P. F.
49
1963
On the Steinhaus billiard table problem. Zbl 0116.39604
Croft, H. T.; Swinnerton-Dyer, H. P. F.
3
1963
Two special cubic surfaces. Zbl 0103.38302
Swinnerton-Dyer, H. P. F.
10
1962
Solution of simultaneous linear equations using a magnetic-tape store. Zbl 0091.29701
Barron, D. W.; Swinnerton-Dyer, H. P. F.
3
1960
Note on a problem of Chowla. Zbl 0091.04301
Birch, B. J.; Swinnerton-Dyer, H. P. F.
21
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.
13
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.
43
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.
132
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.
3
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.
10
1953
The inhomogeneous minima of binary quadratic forms. I. Zbl 0046.27601
Barnes, E. S.; Swinnerton-Dyer, H. P. F.
17
1952
The inhomogeneous minima of binary quadratic forms. II. Zbl 0047.28102
Barnes, 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 0046.26602
Swinnerton-Dyer, H. P. F.
5
1952
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

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