J. W. S. Cassels

Q: What Schools Are Affiliated With J. W. S. Cassels

J. W. S. Cassels is affiliated with the following schools: University of Edinburgh, University of Manchester, University of Cambridge

J. W. S. Cassels's AcademicInfluence.com Rankings

J. W. S. Cassels

Mathematics

#499

World Rank

#974

Historical Rank

Measure Theory

#533

World Rank

#748

Historical Rank

mathematics Degrees

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Mathematics

Why Is J. W. S. Cassels Influential?

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According to Wikipedia, John William Scott "Ian" Cassels, FRS was a British mathematician. Biography Cassels was educated at Neville's Cross Council School in Durham and George Heriot's School in Edinburgh. He went on to study at the University of Edinburgh and graduated with an undergraduate Master of Arts degree in 1943.

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J. W. S. Cassels's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An Introduction to the Geometry of Numbers (1959) (1301)
An Introduction to Diophantine Approximation (1957) (680)
Rational Quadratic Forms (1978) (332)
Diophantine Equations with Special Reference To Elliptic Curves (1966) (258)
Algebraic number theory (2018) (110)
Some metrical theorems in diophantine approximation (1950) (101)
Geometric Group Theory: Asymptotic Invariants of Infinite Groups, M. Gromov (1993) (87)
Bounds for the least solutions of homogeneous quadratic equations (1955) (86)
On a problem of Steinhaus about normal numbers (1959) (78)
Footnote To a Note of Davenport and Heilbronn (1961) (72)
Local Fields: Contents (1986) (72)
On a problem of Rankin about the Epstein zeta-function (1959) (68)
On the equation (1984) (60)
On the Hasse principle for cubic surfaces (1966) (58)
On the representation of rational functions as sums of squares (1964) (56)
On the Equation Y 2 = X(X 2 + p) (1984) (54)
A note on the division values of ℘(u) (1949) (49)
On the Taylor coefficients of rational functions (1956) (48)
The rational solutions of the diophantine equation (1950) (45)
arithmetic on curves of genus 1 : iii. the tate‐Šafarevič and selmer groups (1962) (45)
LECTURES ON p‐ADIC L‐FUNCTIONS (1974) (40)
On the Equation ax − by = 1. II (1960) (38)
Some metrical theorems in Diophantine approximation. III (1950) (36)
LECTURES ON FORMALLY REAL FIELDS (Lecture Notes in Mathematics, 1093) (1985) (36)
Geometric Group Theory: Introduction (1993) (31)
Factorization of polynomials in several variables (1969) (31)
An embedding theorem for fields (1976) (28)
On the Equation a x - b y = 1 (1953) (27)
On Kummer Sums (1970) (26)
Kronecker's Jugendtraum and modular functions (1992) (26)
On a paper of Niven and Zuckerman. (1952) (25)
Sequences, Vol. I (1968) (24)
The inhomogeneous minimum of binary quadratic, ternary cubic and quaternary quartic forms (1952) (22)
The Cemeteries of Cyrene (1955) (20)
INTRODUCTION TO P‐ADIC NUMBERS AND THEIR FUNCTIONS (1974) (19)
OEUVRES SCIENTIFIQUES: COLLECTED PAPERS (1981) (18)
Farey section in k(i) and k(ρ) (1951) (17)
The Markoff Chain (1949) (17)
Economics for mathematicians (1981) (16)
Internal Reflectance Spectroscopy. III. Micro Sampling (1970) (16)
On the sums of powers of complex numbers (1956) (15)
Simultaneous Diophantine approximation (1977) (15)
Pelvic tamponade in puerperal hemorrhage. A case report. (1985) (15)
Simultaneous Diophantine Approximation (II) (1955) (14)
A short proof of the Minkowski-Hlawka theorem (1953) (14)
On a result of Marshall Hall (1956) (13)
A diophantine equation (1985) (13)
On a class of exponential equations (1961) (12)
LINEAR ECONOMIC MODELS (1981) (12)
A Note on the Diophantine Equation x 3 + y 3 + z 3 = 3 (1985) (12)
The Spitalfields Mathematical Society (1979) (12)
Least solutions of homogeneous quadratic equations (1957) (10)
On a Theorem of Dem'Janenko (1968) (10)
Structure-kinetic relationships of choriogonadotropin and related molecules. (1989) (10)
A diophantine equation over a function field (1978) (9)
A new inequality with application to the theory of Diophantine approximation (1953) (8)
A note on the Diophantine equation ³+³+³=3 (1985) (8)
The Product of n Inhomogeneous Linear Forms in n Variables (1952) (8)
An introduction to the geometry of numbers (Reprint) (1997) (8)
The rational solution of the diophantine equationY2=X3−D (1951) (7)
Low-Cost Ordinate Scale Expansion Unit for the Perkin-Elmer Model 21 Infrared Spectrophotometer (1961) (7)
Infrared-Pyrolysis Studies of Synthetic Fibers (1968) (7)
Integral Points on Certain Elliptic Curves (1965) (7)
On a Theorem of Rado in the Geometry of Numbers (1947) (6)
The arithmetic of certain quartic curves (1985) (6)
On the determination of generalized Gauss sums (1969) (6)
On the product of two inhomogeneous linear forms. (1953) (5)
On a problem of Pfister about systems of quadratic forms (1979) (5)
An embedding theorem for fields: Addendum (1976) (4)
A Note on the Diophantine Equation X3 +y3 + zy = 3 (2016) (4)
Obituary of Kurt Mahler (1991) (4)
An Elementary Proof of Some Inequalities (1948) (4)
Estimates of Zeros of a Polynomial (1962) (4)
The lattice properties of asymmetric hyperbolic regions (1948) (4)
Resultants and discriminants (1986) (3)
A theorem on star domains (1947) (3)
Note on quadratic forms over the rational field (1959) (3)
The Normal Basis Theorem (1950) (3)
Local Fields by J. W. S. Cassels (1986) (3)
A theorem of Vinogradoff on uniform distribution (1950) (2)
Automatic Infrared Analysis of Polymer Films. (1962) (2)
L. J. Mordell (1974) (2)
A Numerical Investigation of Kummer Cubic Sums (1975) (2)
Reflections on Tripartism (1989) (2)
Solution of equations in finite fields (1986) (1)
PURE EXCHANGE ECONOMY (1981) (1)
Is this a Recorde? (1976) (1)
On the Subgroups of Infinite Abelian Groups (1958) (1)
The competence of the British workforce (1990) (1)
The p-adic case (1991) (1)
The quotient space (1997) (1)
Obituary: Kurt Mahler (1992) (1)
Local Fields: General properties (1986) (1)
Algebraic number fields (1986) (1)
How to sell successfully by direct mail (1960) (1)
Application of ATR to Low-Temperature Studies (1970) (1)
Economics for Mathematicians: SIMPLE MACROECONOMIC MODELS (1981) (1)
Bibliographic fragments concerning Iwasawa-Tate theory (2010) (0)
Economics for Mathematicians: WELFARE ECONOMICS (1981) (0)
p-adic fields (1986) (0)
Transcendental extensions. Factorization (1986) (0)
PRM volume 100 issue 1-2 Cover and Front matter (1985) (0)
Curves of genus 0. Introduction (1991) (0)
Geometry of numbers (1991) (0)
Geometric Group Theory: Finitely Presented Groups (1993) (0)
PRM volume 102 issue 1-2 Cover and Front matter (1986) (0)
FUNDAMENTALS OF DIOPHANTINE GEOMETRY (1984) (0)
Theorems of BLICHFELDT and MINKOWSKI (1997) (0)
The 1977 Hardy Meeting (1977) (0)
Geometric Group Theory: Asymptotic Cones (1993) (0)
The local-global principle for conies (1991) (0)
THE BROUWER FIXED POINT THEORSM (1981) (0)
MAHLER’S compactness theorem (1997) (0)
Local Fields: Preface (1986) (0)
Simultaneous Diphantine Approximation (1955) (0)
PRM volume 104 issue 1-2 Cover and Front matter (1986) (0)
A theorem of Borel and Dwork (1986) (0)
Geometric Group Theory: References (1993) (0)
Semi–Hyperbolic Spaces (1993) (0)
Zeta and L-functions at negative integers (1986) (0)
Application of Internal Reflection Spectroscopy to the Quantitative Analysis of Mixed Fibers (1970) (0)
Economics for Mathematicians: THEORY OF THE FIRM (1981) (0)
Remedial mathematics. Resultants (1991) (0)
Economics for Mathematicians: NON-NEGATIVE MATRICES (1981) (0)
Addendum: the Spitalfields Mathematical Society (1980) (0)
Algebraic extensions (incomplete fields) (1986) (0)
Local Fields: Minkowski's convex body theorem (1986) (0)
Some abstract nonsense (1991) (0)
UTILITY, INDIFFERENCE SURFACES (1981) (0)
Geometric Group Theory: Filling Invariants (1993) (0)
How to write successful sales letters (1964) (0)
Index to the Mathematical Gazette (1951) (0)
Local Fields: Algebraic extensions (complete fields) (1986) (0)
The endomorphism group (1991) (0)
Elements of Galois cohomology (1991) (0)
p-adic numbers (1991) (0)
Local Fields: Introduction (1986) (0)
Local-global for genus 1 (1991) (0)
The theorem of MINKOWSKI-HLAWKA (1997) (0)
Norms, traces and characteristic polynomials (1986) (0)
Calculation of exponentials (1986) (0)
A COURSE IN ARITHMETIC (1974) (0)
Local-global principle. Conclusion of proof (1991) (0)
INTRODUCTION TO THE THEORY OF ALGEBRIC NUMBERS AND FUNCTIONS (1969) (0)
PRM volume 101 issue 1-2 Cover and Front Matter (1985) (0)
ON THE EQUATION a? ? bv = l.* (2016) (0)
Local Fields: Leitfaden (1986) (0)
Local Fields: Non archimedean valuations. Simple properties (1986) (0)
Points over finite fields (1991) (0)
Non-singular cubics. The group law (1991) (0)
PRM volume 101 issue 3-4 Cover and Front matter (1985) (0)
Geometric Group Theory: Hyperbolic Groups (1993) (0)
A note on the Diophantine equation $x\sp 3+y\sp 3+z\sp 3=3$ (1985) (0)
Geometric Group Theory: Topology of Balls (1993) (0)

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What Schools Are Affiliated With J. W. S. Cassels?

J. W. S. Cassels is affiliated with the following schools: