Edit Profile (opens in new tab) Cassels, John William Scott Compute Distance To: Compute Author ID: cassels.john-william-scott Published as: Cassels, J. W. S. External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 121 Publications since 1947, including 12 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 12 Co-Authors with 13 Joint Publications 242 Co-Co-Authors all top 5 Co-Authors 110 single-authored 4 Fröhlich, Albrecht 2 Swinnerton-Dyer, Peter 2 Tate, John Torrence jun. 1 Atiyah, Michael Francis 1 Bremner, Andrew 1 Ellison, William John 1 Flynn, Eugene Victor 1 Gruenberg, Karl Walter 1 Guy, Michael J. T. 1 Hasse, Helmut 1 Heilbronn, Hans Arnold 1 Hoechsmann, Klaus 1 Ledermann, Walter 1 Mahler, Kurt 1 Pfister, Albrecht 1 Roquette, Peter 1 Sansone, Giovanni 1 Schinzel, Andrzej 1 Serre, Jean-Pierre 1 Vaughan, Robert C. 1 Wall, Charles Terence Clegg all top 5 Serials 18 Proceedings of the Cambridge Philosophical Society 10 Journal of the London Mathematical Society 9 Journal für die Reine und Angewandte Mathematik 6 Acta Arithmetica 6 Bulletin of the London Mathematical Society 4 Proceedings of the London Mathematical Society. Third Series 3 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of the Australian Mathematical Society 2 Mathematics of Computation 2 Acta Mathematica 2 Archiv der Mathematik 2 Glasgow Mathematical Journal 2 Mathematische Annalen 2 Mathematika 2 Philosophical Transactions of the Royal Society of London. Ser. A 2 Proceedings. Akadamie van Wetenschappen Amsterdam 2 Proceedings of the Glasgow Mathematical Association 2 London Mathematical Society Lecture Note Series 2 London Mathematical Society Student Texts 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Scientiarum Mathematicarum 1 American Journal of Mathematics 1 Archivum Mathematicum 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Journal of Number Theory 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annals of Mathematics. Second Series 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Grundlehren der Mathematischen Wissenschaften 1 London Mathematical Society Monographs 1 Proceedings of the Steklov Institute of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Series 1 Classics in Mathematics 1 Cambridge Tracts in Mathematics and Mathematical Physics all top 5 Fields 63 Number theory (11-XX) 27 Algebraic geometry (14-XX) 9 History and biography (01-XX) 7 Field theory and polynomials (12-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Convex and discrete geometry (52-XX) 2 Special functions (33-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 2,507 times in 2,252 Documents Cited by ▼ Year ▼ An introduction to Diophantine approximation. Zbl 0077.04801Cassels, J. W. S. 439 1957 Algebraic number theory. Zbl 0153.07403 258 1967 Rational quadratic forms. Zbl 0395.10029Cassels, J. W. S. 220 1978 An introduction to the geometry of numbers. Zbl 0086.26203Cassels, J. W. S. 181 1959 An introduction to the geometry of numbers. 2nd printing, corrected. Zbl 0209.34401Cassels, J. W. S. 93 1971 Diophantine equations with special reference to elliptic curves. Zbl 0138.27002Cassels, J. W. S. 91 1967 Prolegomena to a middlebrow arithmetic of curves of genus 2. Zbl 0857.14018Cassels, J. W. S.; Flynn, E. V. 90 1996 An introduction to the geometry of numbers. Repr. of the 1971 ed. Zbl 0866.11041Cassels, J. W. S. 82 1997 Local fields. Zbl 0595.12006Cassels, J. W. S. 79 1986 Lectures on elliptic curves. Zbl 0752.14033Cassels, J. W. S. 56 1991 Arithmetic on curves of genus 1. VIII: On conjectures of Birch and Swinnerton-Dyer. Zbl 0241.14017Cassels, J. W. S. 50 1965 Arithmetic on curves of genus 1. IV: Proof of the Hauptvermutung. Zbl 0106.03706Cassels, J. W. S. 49 1962 On the product of three homogeneous linear forms and indefinite ternary quadratic forms. Zbl 0065.27905Cassels, J. W. S.; Swinnerton-Dyer, H. P. F. 44 1955 Some metrical theorems in diophantine approximation. I, III. Zbl 0035.31902Cassels, J. W. S. 33 1950 Footnote to a note of Davenport and Heilbronn. Zbl 0097.03403Cassels, J. W. S. 33 1961 On sums of squares and on elliptic curves over function fields. Zbl 0217.04302Cassels, J. W. S.; Ellison, W. J.; Pfister, A. 32 1971 On a problem of Steinhaus about normal numbers. Zbl 0090.26004Cassels, J. W. S. 31 1959 Bounds for the least solutions of homogeneous quadratic equations. Zbl 0064.28302Cassels, J. W. S. 31 1955 An introduction to the geometry of numbers. Translated from the English by A. N. Andrianov and I. V. Bogachenko. Translation editor A. V. Malyshev. (Введение в геометрию чисел.) Zbl 0131.29003Cassels, J. W. S. 30 1965 On a problem of Rankin about the Epstein zeta-function. Zbl 0103.27602Cassels, J. W. S. 29 1959 On the Hasse principle for cubic surfaces. Zbl 0151.03405Cassels, J. W. S.; Guy, M. J. T. 25 1966 Rational quadratic forms. Zbl 0496.10008Cassels, J. W. S. 21 1982 On the representation of rational functions as sums of squares. Zbl 0131.25001Cassels, J. W. S. 18 1964 Measures of the non-convexity of sets and the Shapley-Folkman-Starr theorem. Zbl 0311.52001Cassels, J. W. S. 17 1975 On a conjecture of R. M. Robinson about sums of roots of unity. Zbl 0179.35203Cassels, J. W. S. 17 1969 On the equation \(Y^2=X(X^2+p)\). Zbl 0531.10014Bremner, A.; Cassels, J. W. S. 17 1984 Arithmetic on curves of genus 1. VI: The Tate-Safarevic group can be arbitrarily large. Zbl 0236.14012Cassels, J. W. S. 16 1964 A note on the division values of \(\wp(u)\). Zbl 0032.26103Cassels, J. W. S. 16 1949 The rational solutions of the diophantine equation \(Y^2=X^3-D\). Zbl 0037.02701Cassels, J. W. S. 16 1950 On the representation of integers as the sums of distinct summands taken from a fixed set. Zbl 0217.32102Cassels, J. W. S. 15 1960 Second descents for elliptic curves. Zbl 0883.11028Cassels, J. W. S. 15 1998 On a paper of Niven and Zuckerman. Zbl 0047.04402Cassels, J. W. S. 12 1952 Arithmetic on curves of genus I. VII: The dual exact sequence. Zbl 0146.42304Cassels, J. W. S. 12 1964 On Kummer sums. Zbl 0197.32004Cassels, J. W. S. 12 1970 Simultaneous diophantine approximation. II. Zbl 0065.28302Cassels, J. W. S. 12 1955 A new inequality with application to the theory of Diophantine approximation. Zbl 0051.28604Cassels, J. W. S. 11 1953 On the sums of powers of complex numbers. Zbl 0073.03306Cassels, J. W. S. 11 1956 Arithmetic on curves of genus 1. I: On a conjecture of Selmer. Zbl 0090.03005Cassels, J. W. S. 11 1959 Arithmetic on curves of genus 1. III: The Tate-Shafarevich and Selmer groups. Zbl 0106.03705Cassels, J. W. S. 11 1962 Simultaneous Diophantine approximation. Zbl 0064.04403Cassels, J. W. S. 11 1955 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, held at the University of Sussex, Brighton, UK, September 1–17, 1965. Including a list of errata. 2nd edition. Zbl 1374.11004 10 2010 The Mordell-Weil group of curves of genus 2. Zbl 0529.14015Cassels, J. W. S. 10 1983 An extension of the law of the iterated logarithm. Zbl 0042.13704Cassels, J. W. S. 9 1951 On the equation \(a^x-b^y=1\). Zbl 0050.03703Cassels, J. W. S. 9 1953 Über Basen der natürlichen Zahlenreihe. Zbl 0077.26302Cassels, J. W. S. 9 1957 On a diophantine equation. Zbl 0094.25701Cassels, J. W. S. 9 1960 A Diophantine equation. Zbl 0576.10010Cassels, J. W. S. 9 1985 Selmer’s conjecture and families of elliptic curves. Zbl 0474.14010Cassels, J. W. S.; Schinzel, A. 8 1982 The Markoff chain. Zbl 0035.31701Cassels, J. W. S. 8 1949 Über \(\displaystyle{\lim_{x\to +\infty}} x|\vartheta x+\alpha - y|\). Zbl 0055.04401Cassels, J. W. S. 8 1954 Bounds for the least solutions of homogeneous quadratic equations. Addendum. Zbl 0071.27204Cassels, J. W. S. 8 1956 The arithmetic of certain quartic curves. Zbl 0589.14029Cassels, J. W. S. 8 1985 The Spitalfields mathematical society. Zbl 0435.01019Cassels, J. W. S. 7 1979 Some metrical theorems of diophantine approximation. II. Zbl 0037.17201Cassels, J. W. S. 7 1950 Farey section in \(k(i)\) and \(k(\varrho)\). Zbl 0043.05205Cassels, J. W. S.; Ledermann, W.; Mahler, K. 7 1951 Arithmetic on curves of genus 1. V: Two counter-examples. Zbl 0113.03701Cassels, J. W. S. 7 1963 On a problem of Pfister about systems of quadratic forms. Zbl 0405.10016Cassels, J. W. S. 6 1979 On the equation \(a^x-b^y=1\). II. Zbl 0094.25702Cassels, J. W. S. 6 1961 Integral points on certain elliptic curves. Zbl 0134.27501Cassels, J. W. S. 6 1965 An embedding theorem for fields. Zbl 0345.12104Cassels, J. W. S. 5 1976 On a result of Marshall Hall. Zbl 0073.03401Cassels, J. W. S. 5 1956 An introduction to Diophantine approximation. Translation from the English by A. M. Polosuev. Edited and with an addition by A. O. Gel’fond. (Введение в теорию диофантовых приближений.) Zbl 0098.26301Cassels, J. W. S. 5 1961 Sur le problème de M. Werner Mnich. Zbl 0100.27403Sansone, G.; Cassels, J. W. S. 5 1962 On a theorem of Dem’janenko. Zbl 0165.24104Cassels, J. W. S. 5 1968 A note on the diophantine equation \(x^ 3+y^ 3+z^ 3=3\). Zbl 0556.10007Cassels, J. W. S. 5 1985 L. J. Mordell. Zbl 0272.01021Cassels, J. W. S. 4 1974 On a theorem of Rado in the geometry of numbers. Zbl 0030.11403Cassels, J. W. S. 4 1947 Some metrical theorems of diophantine approximation. IV. Zbl 0036.02801Cassels, J. W. S. 4 1950 Arithmetic on an elliptic curve. Zbl 0118.27701Cassels, J. W. S. 4 1963 On a problem of Schinzel and Zassenhaus. Zbl 0147.30803Cassels, J. W. S. 4 1966 Mordell’s finite basis theorem revisited. Zbl 0601.14001Cassels, J. W. S. 4 1986 Economics for mathematicians. Zbl 0482.90001Cassels, J. W. S. 3 1981 The normal basis theorem. Zbl 0038.02403Cassels, J. W. S.; Wall, G. E. 3 1950 Some metrical theorems in diophantine approximation. V. On a conjecture of Mahler. Zbl 0042.04801Cassels, J. W. S. 3 1951 The inhomogeneous minimum of binary quadratic, ternary cubic and quarternary quartic forms. Zbl 0046.04601Cassels, J. W. S. 3 1952 On a class of exponential equations. Zbl 0102.03507Cassels, J. W. S. 3 1961 Kurt Mahler. Zbl 0758.01009Cassels, J. W. S. 3 1992 Trigonometric sums and elliptic functions. Zbl 0358.10017Cassels, J. W. S. 2 1977 A Diophantine equation over a function field. Zbl 0387.14006Cassels, J. W. S. 2 1978 Rationale quadratische Formen. Zbl 0427.10012Cassels, J. W. S. 2 1980 On two problems of Mahler. Zbl 0031.11302Cassels, J. W. S. 2 1948 An elementary proof of some inequalities. Zbl 0034.18501Cassels, J. W. S. 2 1949 Addendum to the paper “The inhomogeneous minimum of binary quadratic, ternary cubic, and quaternary quartic forms”. Zbl 0046.27602Cassels, J. W. S. 2 1952 Über einen Perronschen Satz. Zbl 0047.05104Cassels, J. W. S. 2 1952 Yet another proof of Minkowski’s theorem on the product of two inhomogeneous linear forms. Zbl 0051.28302Cassels, J. W. S. 2 1953 Arithmetic on curves of genus. 1. II: A general result. Zbl 0094.02604Cassels, J. W. S. 2 1960 Elliptic curves over local fields. Zbl 0159.50703Cassels, J. W. S. 2 1967 Factorization of polynomials in several variables. Zbl 0203.35001Cassels, J. W. S. 2 1970 On the determination of generalized Gauss sums. Zbl 0233.10018Cassels, J. W. S. 2 1969 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 (held at the University of Sussex, Brighton, September 1-17, 1965). 1st paperback ed., 2nd printing. Zbl 0645.12001 2 1987 Hans Arnold Heilbronn. Zbl 0355.01020Cassels, J. W. S.; Fröhlich, A. 1 1977 The lattice properties of asymmetric hyperbolic regions. II. On a theorem of Davenport. Zbl 0030.01903Cassels, J. W. S. 1 1948 A theorem on star domains. Zbl 0030.34601Cassels, J. W. S. 1 1947 A theorem of Vinogradoff on uniform distribution. Zbl 0038.19101Cassels, J. W. S. 1 1950 The rational solution of the diophantine equation \(Y^2=X^3-D\). Zbl 0043.04307Cassels, J. W. S. 1 1951 A short proof of the Minkowski-Hlawka theorem. Zbl 0050.04806Cassels, J. W. S. 1 1953 Note on quadratic forms over the rational field. Zbl 0091.04701Cassels, J. W. S. 1 1959 Some elliptic function identities. Zbl 0218.14016Cassels, J. W. S. 1 1971 Arithmetic of curves of genus 2. Zbl 0723.14022Cassels, J. W. S. 1 1989 Corrigendum: A note on the division values of \(\wp(u)\). Zbl 0225.10028Cassels, J. W. S. 1 1972 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, held at the University of Sussex, Brighton, UK, September 1–17, 1965. Including a list of errata. 2nd edition. Zbl 1374.11004 10 2010 Second descents for elliptic curves. Zbl 0883.11028Cassels, J. W. S. 15 1998 An introduction to the geometry of numbers. Repr. of the 1971 ed. Zbl 0866.11041Cassels, J. W. S. 82 1997 Prolegomena to a middlebrow arithmetic of curves of genus 2. Zbl 0857.14018Cassels, J. W. S.; Flynn, E. V. 90 1996 Kurt Mahler. Zbl 0758.01009Cassels, J. W. S. 3 1992 Lectures on elliptic curves. Zbl 0752.14033Cassels, J. W. S. 56 1991 Arithmetic of curves of genus 2. Zbl 0723.14022Cassels, J. W. S. 1 1989 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 (held at the University of Sussex, Brighton, September 1-17, 1965). 1st paperback ed., 2nd printing. Zbl 0645.12001 2 1987 Local fields. Zbl 0595.12006Cassels, J. W. S. 79 1986 Mordell’s finite basis theorem revisited. Zbl 0601.14001Cassels, J. W. S. 4 1986 A Diophantine equation. Zbl 0576.10010Cassels, J. W. S. 9 1985 The arithmetic of certain quartic curves. Zbl 0589.14029Cassels, J. W. S. 8 1985 A note on the diophantine equation \(x^ 3+y^ 3+z^ 3=3\). Zbl 0556.10007Cassels, J. W. S. 5 1985 Obituary: Ivan Matveevich Vinogradov. Zbl 0578.01029Cassels, J. W. S.; Vaughan, R. C. 1 1985 On the equation \(Y^2=X(X^2+p)\). Zbl 0531.10014Bremner, A.; Cassels, J. W. S. 17 1984 The Mordell-Weil group of curves of genus 2. Zbl 0529.14015Cassels, J. W. S. 10 1983 Rational quadratic forms. Zbl 0496.10008Cassels, J. W. S. 21 1982 Selmer’s conjecture and families of elliptic curves. Zbl 0474.14010Cassels, J. W. S.; Schinzel, A. 8 1982 Economics for mathematicians. Zbl 0482.90001Cassels, J. W. S. 3 1981 Rationale quadratische Formen. Zbl 0427.10012Cassels, J. W. S. 2 1980 The Spitalfields mathematical society. Zbl 0435.01019Cassels, J. W. S. 7 1979 On a problem of Pfister about systems of quadratic forms. Zbl 0405.10016Cassels, J. W. S. 6 1979 Rational quadratic forms. Zbl 0395.10029Cassels, J. W. S. 220 1978 A Diophantine equation over a function field. Zbl 0387.14006Cassels, J. W. S. 2 1978 Trigonometric sums and elliptic functions. Zbl 0358.10017Cassels, J. W. S. 2 1977 Hans Arnold Heilbronn. Zbl 0355.01020Cassels, J. W. S.; Fröhlich, A. 1 1977 An embedding theorem for fields. Zbl 0345.12104Cassels, J. W. S. 5 1976 Measures of the non-convexity of sets and the Shapley-Folkman-Starr theorem. Zbl 0311.52001Cassels, J. W. S. 17 1975 L. J. Mordell. Zbl 0272.01021Cassels, J. W. S. 4 1974 Corrigendum: A note on the division values of \(\wp(u)\). Zbl 0225.10028Cassels, J. W. S. 1 1972 An introduction to the geometry of numbers. 2nd printing, corrected. Zbl 0209.34401Cassels, J. W. S. 93 1971 On sums of squares and on elliptic curves over function fields. Zbl 0217.04302Cassels, J. W. S.; Ellison, W. J.; Pfister, A. 32 1971 Some elliptic function identities. Zbl 0218.14016Cassels, J. W. S. 1 1971 On Kummer sums. Zbl 0197.32004Cassels, J. W. S. 12 1970 Factorization of polynomials in several variables. Zbl 0203.35001Cassels, J. W. S. 2 1970 On a conjecture of R. M. Robinson about sums of roots of unity. Zbl 0179.35203Cassels, J. W. S. 17 1969 On the determination of generalized Gauss sums. Zbl 0233.10018Cassels, J. W. S. 2 1969 On a theorem of Dem’janenko. Zbl 0165.24104Cassels, J. W. S. 5 1968 Algebraic number theory. Zbl 0153.07403 258 1967 Diophantine equations with special reference to elliptic curves. Zbl 0138.27002Cassels, J. W. S. 91 1967 Elliptic curves over local fields. Zbl 0159.50703Cassels, J. W. S. 2 1967 On the Hasse principle for cubic surfaces. Zbl 0151.03405Cassels, J. W. S.; Guy, M. J. T. 25 1966 On a problem of Schinzel and Zassenhaus. Zbl 0147.30803Cassels, J. W. S. 4 1966 Arithmetic on curves of genus 1. VIII: On conjectures of Birch and Swinnerton-Dyer. Zbl 0241.14017Cassels, J. W. S. 50 1965 An introduction to the geometry of numbers. Translated from the English by A. N. Andrianov and I. V. Bogachenko. Translation editor A. V. Malyshev. (Введение в геометрию чисел.) Zbl 0131.29003Cassels, J. W. S. 30 1965 Integral points on certain elliptic curves. Zbl 0134.27501Cassels, J. W. S. 6 1965 On the representation of rational functions as sums of squares. Zbl 0131.25001Cassels, J. W. S. 18 1964 Arithmetic on curves of genus 1. VI: The Tate-Safarevic group can be arbitrarily large. Zbl 0236.14012Cassels, J. W. S. 16 1964 Arithmetic on curves of genus I. VII: The dual exact sequence. Zbl 0146.42304Cassels, J. W. S. 12 1964 Arithmetic on curves of genus 1. V: Two counter-examples. Zbl 0113.03701Cassels, J. W. S. 7 1963 Arithmetic on an elliptic curve. Zbl 0118.27701Cassels, J. W. S. 4 1963 Arithmetic on curves of genus 1. IV: Proof of the Hauptvermutung. Zbl 0106.03706Cassels, J. W. S. 49 1962 Arithmetic on curves of genus 1. III: The Tate-Shafarevich and Selmer groups. Zbl 0106.03705Cassels, J. W. S. 11 1962 Sur le problème de M. Werner Mnich. Zbl 0100.27403Sansone, G.; Cassels, J. W. S. 5 1962 Footnote to a note of Davenport and Heilbronn. Zbl 0097.03403Cassels, J. W. S. 33 1961 On the equation \(a^x-b^y=1\). II. Zbl 0094.25702Cassels, J. W. S. 6 1961 An introduction to Diophantine approximation. Translation from the English by A. M. Polosuev. Edited and with an addition by A. O. Gel’fond. (Введение в теорию диофантовых приближений.) Zbl 0098.26301Cassels, J. W. S. 5 1961 On a class of exponential equations. Zbl 0102.03507Cassels, J. W. S. 3 1961 On the representation of integers as the sums of distinct summands taken from a fixed set. Zbl 0217.32102Cassels, J. W. S. 15 1960 On a diophantine equation. Zbl 0094.25701Cassels, J. W. S. 9 1960 Arithmetic on curves of genus. 1. II: A general result. Zbl 0094.02604Cassels, J. W. S. 2 1960 An introduction to the geometry of numbers. Zbl 0086.26203Cassels, J. W. S. 181 1959 On a problem of Steinhaus about normal numbers. Zbl 0090.26004Cassels, J. W. S. 31 1959 On a problem of Rankin about the Epstein zeta-function. Zbl 0103.27602Cassels, J. W. S. 29 1959 Arithmetic on curves of genus 1. I: On a conjecture of Selmer. Zbl 0090.03005Cassels, J. W. S. 11 1959 Note on quadratic forms over the rational field. Zbl 0091.04701Cassels, J. W. S. 1 1959 An introduction to Diophantine approximation. Zbl 0077.04801Cassels, J. W. S. 439 1957 Über Basen der natürlichen Zahlenreihe. Zbl 0077.26302Cassels, J. W. S. 9 1957 On the sums of powers of complex numbers. Zbl 0073.03306Cassels, J. W. S. 11 1956 Bounds for the least solutions of homogeneous quadratic equations. Addendum. Zbl 0071.27204Cassels, J. W. S. 8 1956 On a result of Marshall Hall. Zbl 0073.03401Cassels, J. W. S. 5 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. 44 1955 Bounds for the least solutions of homogeneous quadratic equations. Zbl 0064.28302Cassels, J. W. S. 31 1955 Simultaneous diophantine approximation. II. Zbl 0065.28302Cassels, J. W. S. 12 1955 Simultaneous Diophantine approximation. Zbl 0064.04403Cassels, J. W. S. 11 1955 Über \(\displaystyle{\lim_{x\to +\infty}} x|\vartheta x+\alpha - y|\). Zbl 0055.04401Cassels, J. W. S. 8 1954 A new inequality with application to the theory of Diophantine approximation. Zbl 0051.28604Cassels, J. W. S. 11 1953 On the equation \(a^x-b^y=1\). Zbl 0050.03703Cassels, J. W. S. 9 1953 Yet another proof of Minkowski’s theorem on the product of two inhomogeneous linear forms. Zbl 0051.28302Cassels, J. W. S. 2 1953 A short proof of the Minkowski-Hlawka theorem. Zbl 0050.04806Cassels, J. W. S. 1 1953 On a paper of Niven and Zuckerman. Zbl 0047.04402Cassels, J. W. S. 12 1952 The inhomogeneous minimum of binary quadratic, ternary cubic and quarternary quartic forms. Zbl 0046.04601Cassels, J. W. S. 3 1952 Addendum to the paper “The inhomogeneous minimum of binary quadratic, ternary cubic, and quaternary quartic forms”. Zbl 0046.27602Cassels, J. W. S. 2 1952 Über einen Perronschen Satz. Zbl 0047.05104Cassels, J. W. S. 2 1952 An extension of the law of the iterated logarithm. Zbl 0042.13704Cassels, J. W. S. 9 1951 Farey section in \(k(i)\) and \(k(\varrho)\). Zbl 0043.05205Cassels, J. W. S.; Ledermann, W.; Mahler, K. 7 1951 Some metrical theorems in diophantine approximation. V. On a conjecture of Mahler. Zbl 0042.04801Cassels, J. W. S. 3 1951 The rational solution of the diophantine equation \(Y^2=X^3-D\). Zbl 0043.04307Cassels, J. W. S. 1 1951 Some metrical theorems in diophantine approximation. I, III. Zbl 0035.31902Cassels, J. W. S. 33 1950 The rational solutions of the diophantine equation \(Y^2=X^3-D\). Zbl 0037.02701Cassels, J. W. S. 16 1950 Some metrical theorems of diophantine approximation. II. Zbl 0037.17201Cassels, J. W. S. 7 1950 Some metrical theorems of diophantine approximation. IV. Zbl 0036.02801Cassels, J. W. S. 4 1950 The normal basis theorem. Zbl 0038.02403Cassels, J. W. S.; Wall, G. E. 3 1950 A theorem of Vinogradoff on uniform distribution. Zbl 0038.19101Cassels, J. W. S. 1 1950 A note on the division values of \(\wp(u)\). Zbl 0032.26103Cassels, J. W. S. 16 1949 The Markoff chain. Zbl 0035.31701Cassels, J. W. S. 8 1949 An elementary proof of some inequalities. Zbl 0034.18501Cassels, J. W. S. 2 1949 On two problems of Mahler. Zbl 0031.11302Cassels, J. W. S. 2 1948 The lattice properties of asymmetric hyperbolic regions. II. On a theorem of Davenport. Zbl 0030.01903Cassels, J. W. S. 1 1948 On a theorem of Rado in the geometry of numbers. Zbl 0030.11403Cassels, J. W. S. 4 1947 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,277 Authors 20 Schmidt, Wolfgang M. 18 Flynn, Eugene Victor 17 Kleinbock, Dmitry Ya. 16 Fukshansky, Lenny 15 Bremner, Andrew 15 Bugeaud, Yann 13 Laurinčikas, Antanas 13 Mazur, Barry 12 Dubickas, Artūras 11 Oh, Byeong-Kweon 11 Vaaler, Jeffrey D. 10 Bétermin, Laurent 10 Chan, Wai Kiu 10 Masser, David William 10 Moshchevitin, Nikolay G. 10 Zannier, Umberto M. 9 Creutz, Brendan 9 Cusick, Thomas W. 9 Fisher, Tom A. 9 Top, Jaap 9 Velani, Sanju L. 8 Kristensen, Simon 8 Sarnak, Peter Clive 8 Tang, Hui-Chin 8 Vulakh, L. Ya. 7 Beresnevich, Victor V. 7 Bernik, Vasiliĭ Ivanovich 7 Bruin, Nils 7 Colliot-Thélène, Jean-Louis 7 Earnest, Andrew G. 7 German, Oleg N. 7 Haynes, Alan K. 7 Hussain, Mumtaz 7 Jarden, Moshe 7 Montesinos-Amilibia, José María 7 Nowak, Werner Georg 7 Rubin, Karl Cooper 7 Simmons, David 7 Stoll, Michael 7 Zimmer, Horst Günter 6 Aistleitner, Christoph 6 Berend, Daniel 6 Browning, Timothy Daniel 6 Cremona, John E. 6 Einsiedler, Manfred Leopold 6 Götze, Friedrich 6 Hsia, John Sollion 6 Kao, Chiang 6 Koivusalo, Henna 6 Lenstra, Hendrik W. jun. 6 Malyshev, Aleksandr Vasil’evich 6 Margulis, Grigoriĭ Aleksandrovich 6 Schlickewei, Hans Peter 6 Skubenko, Boris Fadeevich 6 Uhrin, Bela 6 Voloch, José Felipe 5 Baragar, Arthur 5 Bombieri, Enrico 5 Borosh, Itshak 5 Boshernitzan, Michael D. 5 Bykovskiĭ, Viktor Alekseevich 5 Chen, Yonggao 5 Dvornicich, Roberto 5 Grunewald, Fritz J. 5 Heath-Brown, Roger 5 Henk, Martin 5 Klagsbrun, Zev 5 Leung, Ka Hin 5 Lindenstrauss, Elon 5 Meiss, James D. 5 Mignotte, Maurice 5 Moran, William 5 Nguyen Xuan Tho 5 Opolka, Hans 5 Pfister, Albrecht 5 Poonen, Bjorn 5 Rapinchuk, Andrei S. 5 Roy, Damien 5 Schaefer, Edward F. 5 Schoof, René 5 Shmelev, Andrey A. 5 Siksek, Samir 5 Sloane, Neil James Alexander 5 Stein, William A. 5 Steinerberger, Stefan 5 Stroeker, Roelof J. 5 Tzanakis, Nikos 5 Walton, James J. 5 Xing, Chaoping 4 Akhtari, Shabnam 4 Algom, Amir 4 Aliev, Iskander M. 4 Avdonin, Sergeĭ Anatol’evich 4 Baake, Michael 4 Badziahin, Dzmitry A. 4 Bayer-Fluckiger, Eva 4 Böcherer, Siegfried 4 Cassels, John William Scott 4 Chahal, Jasbir Singh 4 Clark, Peter Louis ...and 2,177 more Authors all top 5 Cited in 350 Serials 219 Journal of Number Theory 83 Transactions of the American Mathematical Society 72 Inventiones Mathematicae 69 Journal of Algebra 60 Mathematics of Computation 54 Monatshefte für Mathematik 52 Mathematical Notes 52 Journal de Théorie des Nombres de Bordeaux 47 Compositio Mathematica 43 Mathematische Annalen 40 Proceedings of the American Mathematical Society 38 Mathematische Zeitschrift 34 International Journal of Number Theory 33 Manuscripta Mathematica 32 Israel Journal of Mathematics 32 Duke Mathematical Journal 30 Acta Arithmetica 29 Archiv der Mathematik 28 Advances in Mathematics 25 Rocky Mountain Journal of Mathematics 22 Journal of Mathematical Sciences (New York) 21 Journal of Soviet Mathematics 21 Linear Algebra and its Applications 19 Mathematical Proceedings of the Cambridge Philosophical Society 17 Annales de l’Institut Fourier 16 Communications in Algebra 16 Acta Mathematica 16 Mathematika 16 Bulletin of the American Mathematical Society. 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English Series 5 Journal of High Energy Physics 5 Algebra & Number Theory 5 Research in the Mathematical Sciences 4 Computers & Mathematics with Applications 4 Journal of Differential Equations 4 Siberian Mathematical Journal 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Combinatorica 4 Physica D 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 250 more Serials all top 5 Cited in 59 Fields 1,582 Number theory (11-XX) 459 Algebraic geometry (14-XX) 120 Dynamical systems and ergodic theory (37-XX) 99 Convex and discrete geometry (52-XX) 93 Field theory and polynomials (12-XX) 89 Group theory and generalizations (20-XX) 69 Computer science (68-XX) 64 Measure and integration (28-XX) 61 Combinatorics (05-XX) 55 Probability theory and stochastic processes (60-XX) 54 Topological groups, Lie groups (22-XX) 49 Commutative algebra (13-XX) 49 Numerical analysis (65-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 43 Partial differential equations (35-XX) 40 Associative rings and algebras (16-XX) 38 Information and communication theory, circuits (94-XX) 32 Functions of a complex variable (30-XX) 30 Manifolds and cell complexes (57-XX) 28 Approximations and expansions (41-XX) 27 Functional analysis (46-XX) 26 Quantum theory (81-XX) 25 Mathematical logic and foundations (03-XX) 24 Differential geometry (53-XX) 24 Operations research, mathematical programming (90-XX) 23 History and biography (01-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 Systems theory; control (93-XX) 21 Several complex variables and analytic spaces (32-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Geometry (51-XX) 18 Special functions (33-XX) 15 Category theory; homological algebra (18-XX) 15 Abstract harmonic analysis (43-XX) 15 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 13 Mechanics of particles and systems (70-XX) 13 Mechanics of deformable solids (74-XX) 10 \(K\)-theory (19-XX) 10 Statistics (62-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Real functions (26-XX) 8 Difference and functional equations (39-XX) 8 General topology (54-XX) 8 Algebraic topology (55-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Fluid mechanics (76-XX) 4 Nonassociative rings and algebras (17-XX) 4 Potential theory (31-XX) 3 Integral equations (45-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Sequences, series, summability (40-XX) 2 Biology and other natural sciences (92-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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