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J. W. S. Cassels

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All published works
Action Title Year Authors
+ ON THE EQUATION a? ? bv = l.* 2016 J. W. S. Cassels
+ Principal homogeneous spaces and Galois cohomology 2012 J. W. S. Cassels
+ Elliptic curves. Canonical form 2012 J. W. S. Cassels
+ Finite basis theorem. Strategy and comments 2012 J. W. S. Cassels
+ The p-adic case 2012 J. W. S. Cassels
+ Non-singular cubics. The group law 2012 J. W. S. Cassels
+ p-adic numbers 2012 J. W. S. Cassels
+ Geometry of numbers 2012 J. W. S. Cassels
+ Remedial mathematics. Resultants 2012 J. W. S. Cassels
+ Heights. Finite basis Theorem 2012 J. W. S. Cassels
+ The weak finite basis theory 2012 J. W. S. Cassels
+ Cubic curves 2012 J. W. S. Cassels
+ Factorizing using elliptic curves 2012 J. W. S. Cassels
+ Elements of Galois cohomology 2012 J. W. S. Cassels
+ Mordell, Louis Joel (1888–1972), mathematician 2004 J. W. S. Cassels
+ Second descents for elliptic curves 1998 J. W. S. Cassels
+ MAHLER’S compactness theorem 1997 J. W. S. Cassels
+ The theorem of MINKOWSKI-HLAWKA 1997 J. W. S. Cassels
+ Inhomogeneous problems 1997 J. W. S. Cassels
+ The quotient space 1997 J. W. S. Cassels
+ Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 1996 J. W. S. Cassels
E. V. Flynn
+ Rational points. Chabauty's Theorem 1996 J. W. S. Cassels
E. V. Flynn
+ The dual of the Kummer 1996 J. W. S. Cassels
E. V. Flynn
+ The jacobian over local fields. Formal groups 1996 J. W. S. Cassels
E. V. Flynn
+ Computing the Mordell-Weil group 1996 J. W. S. Cassels
E. V. Flynn
+ Catalan’s Conjecture (P. Ribenboim) 1995 J. W. S. Cassels
+ The first few problems in thi s miscellaneous sectio n are about lattice points, whose Euclidean coordinates are integers. Most of them are two- dimensional problems, but some can be formulated in higher dimensions as well. Some interesting books are 1994 J. W. S. Cassels
László Tóth
James Hammer
+ Jacobian in genus 2 1993 J. W. S. Cassels
+ PDF Lectures on elliptic curves 1992 J. W. S. Cassels
+ PDF Obituary: Kurt Mahler 1992 J. W. S. Cassels
+ LMSST: Lectures on Elliptic Curves 1991 J. W. S. Cassels
+ PDF Book Review: The arithmetic of elliptic curves 1987 J. W. S. Cassels
+ Minkowski's convex body theorem 1986 J. W. S. Cassels
+ p-adic fields 1986 J. W. S. Cassels
+ Calculation of exponentials 1986 J. W. S. Cassels
+ Zeta and L-functions at negative integers 1986 J. W. S. Cassels
+ A theorem of Borel and Dwork 1986 J. W. S. Cassels
+ Algebraic number fields 1986 J. W. S. Cassels
+ Transcendental extensions. Factorization 1986 J. W. S. Cassels
+ Diophantine equations 1986 J. W. S. Cassels
+ Local Fields 1986 J. W. S. Cassels
+ Mordell's finite basis theorem revisited 1986 J. W. S. Cassels
+ Ivan Matveevich Vinogradov 1985 J. W. S. Cassels
R. C. Vaughan
+ Ivan Matveevich Vinogradov, 14 September 1891 - 20 March 1983 1985 J. W. S. Cassels
R. C. Vaughan
+ PDF A diophantine equation 1985 J. W. S. Cassels
+ LECTURES ON FORMALLY REAL FIELDS (Lecture Notes in Mathematics, 1093) 1985 J. W. S. Cassels
+ PDF A note on the Diophantine equation 𝑥³+𝑦³+𝑧³=3 1985 J. W. S. Cassels
+ A Note on the Diophantine Equation x 3 + y 3 + z 3 = 3 1985 J. W. S. Cassels
+ The arithmetic of certain quartic curves 1985 J. W. S. Cassels
+ FUNDAMENTALS OF DIOPHANTINE GEOMETRY 1984 J. W. S. Cassels
+ PDF On the equation 𝑌²=𝑋(𝑋²+𝑝) 1984 Andrew J. Bremner
J. W. S. Cassels
+ The Mordell-Weil Group of Curves of Genus 2 1983 J. W. S. Cassels
+ Selmer's Conjecture and Families of Elliptic Curves 1982 J. W. S. Cassels
Andrzej Schinzel
+ Rational Quadratic Forms 1982 J. W. S. Cassels
+ PDF Addendum: the Spitalfields Mathematical Society 1980 J. W. S. Cassels
+ On a problem of Pfister about systems of quadratic forms 1979 J. W. S. Cassels
+ The Spitalfields Mathematical Society 1979 J. W. S. Cassels
+ PDF A diophantine equation over a function field 1978 J. W. S. Cassels
+ The 1977 Hardy Meeting 1977 J. W. S. Cassels
+ Hans Arnold Heilbronn 1977 J. W. S. Cassels
Alexander Fröhlich
+ PDF Hans Arnold Heilbronn, 8 October 1908 - 28 April 1975 1976 J. W. S. Cassels
A. Fröhlich
+ PDF An embedding theorem for fields: Addendum 1976 J. W. S. Cassels
+ PDF An embedding theorem for fields 1976 J. W. S. Cassels
+ Measures of the non-convexity of sets and the Shapley–Folkman–Starr theorem 1975 J. W. S. Cassels
+ A Numerical Investigation of Kummer Cubic Sums 1975 J. W. S. Cassels
E. D. Tabakova
+ INTRODUCTION TO <i>P</i> -ADIC NUMBERS AND THEIR FUNCTIONS 1974 J. W. S. Cassels
+ LECTURES ON p -ADIC L -FUNCTIONS 1974 J. W. S. Cassels
+ L. J. Mordell 1974 J. W. S. Cassels
+ On sums of squares and on elliptic curves over function fields 1971 J. W. S. Cassels
W. J. Ellison
A. Pfister
+ On Kummer Sums 1970 J. W. S. Cassels
+ Records of Proceedings at Meetings: Session November, 1969-June, 1970 Memorial Meeting 1970 E. F. Collingwood
J. W. S. Cassels
+ Algebraic Numbers. By L. E. Dickson et al. Pp. 211. U.S. $4.95. (Chelsea Publishing Co., Bronx, N.Y.) 1969 J. W. S. Cassels
+ On a conjecture of R.M. Robinson about sums of roots of unity. 1969 J. W. S. Cassels
+ Factorization of polynomials in several variables 1969 J. W. S. Cassels
+ INTRODUCTION TO THE THEORY OF ALGEBRIC NUMBERS AND FUNCTIONS 1969 J. W. S. Cassels
+ On the determination of generalized Gauss sums 1969 J. W. S. Cassels
+ Sequences, Vol. I. By H. Halberstam and K. F. Roth. Pp. xx, 291. 63s. 1966. (Oxford University Press.) 1968 J. W. S. Cassels
+ On a Theorem of Dem'Janenko 1968 J. W. S. Cassels
+ Théorèm de Fermat. Son Histoire. By R. Noguès. (Nouveau tirage augmenté d’une preface historique par M. Jean Itard.) Pp. xvi, 170. 16NF. 1966. (Librairie Albert Blanchard, Paris.) 1967 J. W. S. Cassels
+ Elementary Number Theory By E. Landau. Translated by J. E. Goodman with exercises by P T. Bateman and E. E. Kohlbecker. $4.95. 2nd edition 1966. (Chelsea Pub. Co., New York) 1967 J. W. S. Cassels
+ Algebraic number theory : proceedings of an instructional conference organized by the London Mathematical Society (a Nato Advanced Study Institute) with the support of the International Mathematical Union 1967 J. W. S. Cassels
A. Fröhlich
+ PDF Survey Article-Diophantine Equations with Special Reference to Elliptic Curves 1967 J. W. S. Cassels
+ Elliptic Curves Over Local Fields 1967 J. W. S. Cassels
+ On the Hasse principle for cubic surfaces 1966 J. W. S. Cassels
M. J. T. Guy
+ Numbers and Ideals. By Abraham Robinson. (The Mathesis Series). Pp. ix, 107. US$6.55. (Holden-Day, San Francisco) 1966 J. W. S. Cassels
+ Numbers and Ideals. By Abraham Robinson. (The Mathesis Series). Pp. ix, 107. US$6.55. (Holden-Day, San Francisco) 1966 J. W. S. Cassels
+ Diophantine Equations with Special Reference To Elliptic Curves 1966 J. W. S. Cassels
+ PDF Vorlesungen über Zahlentheorie. By H. Hasse. Pp. xvi, 504. DM 69, Zweite, neuarbeitete Auflage 1964. (Springer-Verlag) 1965 J. W. S. Cassels
+ Introduction to Quadratic Forms. By O. T. O’Meara. Pp. xi, 342. DM 43.20: cloth DM 48. 1963. Springer. (Die Grundlehren der Mathematischen Wissenschaften Bd. 117) 1965 J. W. S. Cassels
+ Algebraic Numbers and Fourier Analysis. By R. Salem. (Heath Mathematical Monographs.) Pp. x, 68. 22s. 1964. (Heath. Boston, Mass.) 1965 J. W. S. Cassels
+ Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer. 1965 J. W. S. Cassels
+ Integral Points on Certain Elliptic Curves 1965 J. W. S. Cassels
+ EINFÜHRUNG IN DIE THEORIE DER ALGEBRAISCHEN ZAHLEN UND FUNKTIONEN 1965 J. W. S. Cassels
+ Arithmetic on Curves of genus 1. VI. The Tate-Safarevic group can be arbitrarily large. 1964 J. W. S. Cassels
+ Arithmetic on curves of genus 1. VII. The dual exact sequence. 1964 J. W. S. Cassels
+ Arithmetic on Curves of Genus 1 (V). Two Counter-Examples 1963 J. W. S. Cassels
+ PDF Arithmetic on Curves of Genus 1 III. The Tate-Šafarevič and Selmer Groups 1963 J. W. S. Cassels
+ Über die Äquivalenz 2-adischer quadratischer Formen 1962 J. W. S. Cassels
+ Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung. 1962 J. W. S. Cassels
+ Arithmetic on Curves of Genus 1 : III. The Tate-Šafarevič and Selmer Groups 1962 J. W. S. Cassels
+ Note on quadratic forms over the rational field 1961 J. W. S. Cassels
+ PDF On a class of exponential equations 1961 J. W. S. Cassels
+ Footnote To a Note of Davenport and Heilbronn 1961 J. W. S. Cassels
+ On the Equation <i>a<sup>x</sup> − b<sup>y</sup></i> = 1. II 1960 J. W. S. Cassels
+ PDF On a diophantine equation 1960 J. W. S. Cassels
+ PDF On a problem of Rankin about the Epstein zeta-function 1959 J. W. S. Cassels
+ Note on quadratic forms over the rational field 1959 J. W. S. Cassels
+ Arithmetic on Curves of Genus 1. I. On a conjecture of Selmer. 1959 J. W. S. Cassels
+ An Introduction to the Geometry of Numbers 1959 J. W. S. Cassels
+ On the Subgroups of Infinite Abelian Groups 1958 J. W. S. Cassels
+ An Introduction to Diophantine Approximation. 1958 John C. Brixey
J. W. S. Cassels
+ Kettenbrüche. By A. Khintchine. Mathematisch-naturwissenschaftliche Bibliothek Nr. 3. Pp. vi + 96. 1956. (Teubner, Leipzig) 1958 J. W. S. Cassels
+ Über basen der natürlichen zahlenreihe 1957 J. W. S. Cassels
+ On a result of Marshall Hall 1956 J. W. S. Cassels
+ On the sums of powers of complex numbers 1956 J. W. S. Cassels
+ Bounds for the least solutions of homogeneous quadratic equations 1956 J. W. S. Cassels
+ On the Taylor coefficients of rational functions 1956 K. Mahler
J. W. S. Cassels
+ Simultaneous Diophantine Approximation (II)† 1955 J. W. S. Cassels
+ PDF Simultaneous Diphantine Approximation 1955 J. W. S. Cassels
+ On the product of three homogeneous linear forms and indefinite ternary quadratic forms 1955 J. W. S. Cassels
H. P. F. Swinnerton-Dyer
+ Bounds for the least solutions of homogeneous quadratic equations 1955 J. W. S. Cassels
+ Simultaneous Diophantine Approximation 1955 J. W. S. Cassels
+ �ber $$\mathop {\underline {\lim } }\limits_{x \to + \infty } x|\vartheta x + \alpha - y|$$ 1954 J. W. S. Cassels
+ On the product of two inhomogeneous linear forms. 1954 J. W. S. Cassels
+ A new inequality with application to the theory of Diophantine approximation 1953 J. W. S. Cassels
+ Yet another proof of Minkowski's theorem on the product of two inhomogeneous linear forms 1953 J. W. S. Cassels
+ A short proof of the Minkowski-Hlawka theorem 1953 J. W. S. Cassels
+ On the Equation a x - b y = 1 1953 J. W. S. Cassels
+ PDF On a paper of Niven and Zuckerman 1952 J. W. S. Cassels
+ The Product of <i>n</i> Inhomogeneous Linear Forms in <i>n</i> Variables 1952 J. W. S. Cassels
+ The inhomogeneous minimum of binary quadratic, ternary cubic and quaternary quartic forms 1952 J. W. S. Cassels
+ Über einenPerronschen Satz 1952 J. W. S. Cassels
+ The inhomogeneous minimum of binary quadratic, ternary cubic and quaternary quartic forms 1952 J. W. S. Cassels
+ A remark on the class number of quadratic forms of given determinant 1951 J. W. S. Cassels
+ The Theory of Algebraic Numbers (Carus Mathematical Monograph Number Nine). By Harry Pollard. Pp. 143. 24s. 1950. (John Wiley, New York : Chapman and Hall) 1951 J. W. S. Cassels
+ The Arithmetic Theory of Quadratic Forms (Carus Mathematical Monograph Number Ten). By Burton W. Jones. Pp. x, 212. 24s. 1950. (John Wiley, New York : Chapman and Hall) 1951 J. W. S. Cassels
+ Farey section in <i>k</i> ( <i>i</i> ) and <i>k</i> <i>(ρ)</i> 1951 J. W. S. Cassels
Walter Ledermann
Kurt Mahler
+ An extension of the law of the iterated logarithm 1951 J. W. S. Cassels
+ Some metrical theorems in diophantine approximation 1951 J. W. S. Cassels
+ The Normal Basis Theorem 1950 J. W. S. Cassels
G. E. Wall
+ A theorem of Vinogradoff on uniform distribution 1950 J. W. S. Cassels
+ Some Metrical Theorems of Diophantine Approximation (II) 1950 J. W. S. Cassels
+ Some metrical theorems in Diophantine approximation. I 1950 J. W. S. Cassels
+ Some metrical theorems in Diophantine approximation. III 1950 J. W. S. Cassels
+ PDF The rational solutions of the diophantine equation 1950 J. W. S. Cassels
+ A note on the division values of ℘(<i>u</i>) 1949 J. W. S. Cassels
+ An Elementary Proof of Some Inequalities 1949 J. W. S. Cassels
+ The lattice properties of asymmetric hyperbolic regions 1948 J. W. S. Cassels
+ The lattice properties of asymmetric hyperbolic regions 1948 J. W. S. Cassels
+ The lattice properties of asymmetric hyperbolic regions 1948 J. W. S. Cassels
+ On a Theorem of Rado in the Geometry of Numbers 1947 J. W. S. Cassels
+ A THEOREM ON STAR DOMAINS 1947 J. W. S. Cassels
Common Coauthors
Coauthor Papers Together
E. V. Flynn 5
R. C. Vaughan 2
A. Fröhlich 2
László Tóth 1
E. D. Tabakova 1
Walter Ledermann 1
H. P. F. Swinnerton-Dyer 1
W. J. Ellison 1
M. J. T. Guy 1
John C. Brixey 1
Alexander Fröhlich 1
Andrew Bremner 1
K. Mahler 1
Kurt Mahler 1
G. E. Wall 1
Andrzej Schinzel 1
A. Pfister 1
James Hammer 1
E. F. Collingwood 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Diophantine Equations with Special Reference To Elliptic Curves 1966 J. W. S. Cassels
 5
+ PDF Euclid's algorithm in cubic fields of negative discriminant 1951 H. Davenport
 3
+ PDF Über einen Satz der Wahrscheinlichkeitsrechnung 1924 A. Khintchine
 3
+ PDF Euclid’s algorithm in certain quartic fields 1950 H. Davenport
 3
+ PDF L'arithmétique sur les courbes algébriques 1929 André Weil
 3
+ The Arithmetic Theory of Quadratic Forms 1950 Burton Jones
 2
+ Integer points on curves of genus 1 1970 A. Baker
J. Coates
 2
+ Ein Satz �ber Kettenbr�che, mit arithmetischen Anwendungen 1923 A. Khintchine
 2
+ Ueber die angen�herte Darstellung der Irrationalzahlen durch rationale Br�che 1891 A. Hurwitz
 2
+ The lattice properties of asymmetric hyperbolic regions 1948 J. W. S. Cassels
 2
+ Über die Äquivalenz quadratischer Formen im Körper der rationalen Zahlen. 1923 Helmut Hasse
 2
+ History of the Theory of Numbers 1919 L. E. Dickson
 2
+ Lehrbuch der Algebra 1921 Heinrich Weber
 2
+ PDF The Diophantine Equation <i>y</i> <sup>2</sup> −<i>k</i> =<i>x</i> <sup>3</sup> 1914 L. J. Mordell
 2
+ The diophantine equation y2 + k = x3 1972 W. J. Ellison
Fern Solomon Ellison
John Pesek
Christoph Stahl
D. S. Stall
 2
+ Neuer Beweis und Verallgemeinerung eines Hurwitzschen Satzes 1935 A. Khintchine
 2
+ PDF An introduction to the theory of numbers 1960 G. H. Hardy
 2
+ Notes on elliptic curves. II. 1965 B. J. Birch
H. P. F. Swinnerton-Dyer
 2
+ Sur les propriétés arithmétiques des courbes algébriques 1901 Henri Poincaré
 2
+ PDF An Introduction To The Theory Of Numbers 2008 G. H. Hardy
E. M. Wright
 2
+ PDF Transcendental Number Theory 1975 A. Baker
 2
+ Lattice points in infinite domains, and asymmetric Diophantine approximations 1945 Beniamino Segre
 2
+ Über die Darstellbarkeit von Zahlen durch quadratische Formen im Körper der rationalen Zahlen. 1923 Helmut Hasse
 2
+ Sur un théorème de Mordell 1979 André Weil
 2
+ Arithmetic and Geometry: Papers Dedicated to I.R. Shafarevich on the Occasion of His Sixtieth Birthday Volume I Arithmetic 1983 Michael Artin
John Tate
 2
+ PDF A note on the Diophantine equation 𝑥ⁿ+𝑦ⁿ+𝑧ⁿ=3 1984 Manny Scarowsky
Abraham Boyarsky
 1
+ Topics in Multiplicative Number Theory 1971 Hugh L. Montgomery
 1
+ Algebraic Theory of Numbers 1940 Hermann Weyl
 1
+ Die Theorie der algebraischen Zahlkörper 1932 David Hilbert
 1
+ Diophantine inequalities with an infinity of solutions 1950 H. Davenport
C. A. Rogers
 1
+ Quartic Surfaces with Singular Points 2009 C M Jessop
 1
+ Gelöste und ungelöste Fragen über Basen der natürlichen Zahlenreihe. I. 1955 Alfred Stöhr
 1
+ Zetafunktionen quadratischer Formen. 1935 Max Deuring
 1
+ On the Minkowski-Hlawka theorem 1963 Wolfgang M. Schmidt
 1
+ A Theorem on Characters 1932 R. E. A. C. Paley
 1
+ PDF Representations by spinor genera 1976 J. S. Hsia
 1
+ Kummer's Quartic Surface 1990 R. W. H. T. Hudson
 1
+ Sur l'équation y<sup>2</sup> = x<sup>3</sup> - Ax - B dans les corps p-adiques. 1937 Elisabeth Lutz
 1
+ Group law on the intersection of two quadrics 1980 Ron Donagi
 1
+ PDF Rational Points on Elliptic Curves 2015 Joseph H. Silverman
John Tate
 1
+ On the Fractional Parts of a Set of Points-Iii 1975 Roger Cook
 1
+ PDF Translation invariant measure over separable Hilbert space and other translation spaces 1952 F. H. Brownell
 1
+ The Method of Trigonometrical Sums in the Theory of Numbers 2004 Ivan Matveevich Vinogradov
K. F. Roth
Anne Ashley Davenport
 1
+ PDF Reducibility of polynomials of the form f(x)-g(y) 1967 Andrzej Schinzel
 1
+ Zur theorie der diophantischen approximationen 1924 H. C. Heinrich Behnke
 1
+ PDF On the equations defining abelian varieties. II 1967 David Mumford
 1
+ Primes in progressions to prime-power modulus 1972 P. X. Gallagher
 1
+ PDF Über ternäre definite Formen 1893 David Hilbert
 1
+ Rational Quadratic Forms 1982 J. W. S. Cassels
 1
+ On lattice points in <i>n</i> -dimensional star bodies I. Existence theorems 1946 Kurt Mahler
L. J. Mordell
 1