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Watson, George Leo

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Author ID: watson.george-leo Recent zbMATH articles by "Watson, George Leo"
Published as: Watson, G. L.; Watson, George Leo
External Links: Wikidata · GND · IdRef
Documents Indexed: 62 Publications since 1951, including 1 Book
Biographic References: 1 Publication

Co-Authors

60 single-authored
1 Davenport, Harold
1 Jones, Burton W.

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 292 times in 207 Documents Cited by Year
Integral quadratic forms. Zbl 0090.03103
Watson, G. L.
38
1960
Transformations of a quadratic form which do not increase the class- number. Zbl 0107.26901
Watson, G. L.
26
1962
On the gaps between the values of a rational quadratic polynomial. Zbl 0105.26801
Watson, G. L.
20
1962
On indefinite quadratic forms in five variables. Zbl 0050.04704
Watson, G. L.
14
1953
A proof of the seven cube theorem. Zbl 0042.04101
Watson, G. L.
12
1951
The class-number of a positive quadratic form. Zbl 0122.05802
Watson, G. L.
12
1963
The representation of integers by positive ternary quadratic forms. Zbl 0056.27201
Watson, G. L.
11
1954
On indefinite ternary quadratic forms. Zbl 0072.27204
Jones, B. W.; Watson, G. L.
10
1956
Indefinite quadratic polynomials. Zbl 0097.26204
Watson, G. L.
10
1960
Sums of eight values of a cubic polynomial. Zbl 0046.27106
Watson, G. L.
9
1952
The 2-adic density of a quadratic form. Zbl 0326.10022
Watson, G. L.
8
1976
On the minimum points of a positive quadratic form. Zbl 0219.10032
Watson, G. L.
7
1971
Regular positive ternary quadratic forms. Zbl 0319.10024
Watson, G. L.
7
1976
Quadratic Diophantine equations. Zbl 0102.28102
Watson, G. L.
7
1960
Asymmetric inequalities for indefinite quadratic forms. Zbl 0157.09701
Watson, G. L.
7
1968
One-class genera of positive quadratic forms in seven variables. Zbl 0506.10017
Watson, G. L.
5
1984
The number of minimum points of a positive quadratic form. Zbl 0215.34901
Watson, G. L.
5
1971
Indefinite quadratic forms in many variables: the inhomogeneous minimum and a generalization. Zbl 0107.04104
Watson, G. L.
5
1962
One-class genera of positive quadratic forms in nine and ten variables. Zbl 0368.10017
Watson, G. L.
4
1978
Minkowski’s conjectures on the critical lattices of the region \(| x| ^p + | y | ^p \leq 1\). I. Zbl 0050.04705
Watson, G. L.
4
1953
On sums of a square and five cubes. Zbl 0241.10032
Watson, G. L.
4
1972
On the minimal points of perfect septenary quadratic forms. Zbl 0185.11101
Watson, G. L.
3
1969
Determination of a binary quadratic form by its values at integer points. Zbl 0402.15012
Watson, G. L.
3
1979
One-class genera of positive quadratic forms in eight variables. Zbl 0466.10011
Watson, G. L.
3
1982
On integers \(n\) relatively prime to \([\alpha n]\). Zbl 0051.03205
Watson, G. L.
3
1953
Minkowski’s conjectures on the critical lattices of the region \(| x^p|+| y^p|\leq 1\). II. Zbl 0051.03601
Watson, G. L.
3
1953
Transformations of a quadratic form which do not increase the class-number. II. Zbl 0257.10011
Watson, G. L.
3
1973
Least solutions of homogeneous quadratic equations. Zbl 0077.26501
Watson, G. L.
3
1957
One-sided inequalities for integral quadratic forms. Zbl 0081.04402
Watson, G. L.
3
1958
Indefinite quadratic diophantine equations. Zbl 0102.03505
Watson, G. L.
3
1961
Diophantine equations reducible to quadratics. Zbl 0147.30102
Watson, G. L.
3
1967
Non-homogeneous cubic equations. Zbl 0159.05903
Watson, G. L.
3
1967
On the minimum of a positive quadratic form in \(n (\leq 8)\) variables (verification of Blichfeldt’s calculations). Zbl 0178.37801
Watson, G. L.
3
1966
Determination of a binary quadratic form by its values at integer points: Acknowledgement. Zbl 0441.10024
Watson, G. L.
2
1980
On indefinite quadratic forms in three and four variables. Zbl 0050.04702
Watson, G. L.
2
1953
The number of minimum points of a positive quadratic form having no perfect binary section with the same minimum. Zbl 0233.10012
Watson, G. L.
2
1972
One-class genera of positive ternary quadratic forms. II. Zbl 0307.10023
Watson, G. L.
2
1975
Existence of an indecomposable positive quadratic form in a given genus of rank at least 14. Zbl 0329.10015
Watson, G. L.
2
1979
Representation of integers by indefinite quadratic forms. Zbl 0065.03002
Watson, G. L.
2
1955
The covering of space by spheres. Zbl 0071.27401
Watson, G. L.
2
1956
Bounded representations of integers by quadratic forms. Zbl 0077.26402
Watson, G. L.
2
1957
Representation of large numbers by cubic forms in seven positive integral variables. Zbl 0047.04201
Watson, G. L.
1
1952
Cubic Diophantine equations with reducible cubic part. Zbl 0198.06603
Watson, G. L.
1
1970
One-class genera of positive quaternary quadratic forms. Zbl 0245.10011
Watson, G. L.
1
1974
One-class genera of positive quadratic forms in at least five variables. Zbl 0271.10025
Watson, G. L.
1
1975
The minimal points of a positive definite quadratic form. Zbl 0056.04204
Davenport, Harold; Watson, G. L.
1
1954
The equivalence ot quadratic forms. Zbl 0079.27201
Watson, G. L.
1
1957
Cubic forms representing arithmetic progressions. Zbl 0087.04302
Watson, G. L.
1
1959
One-class genera of positive quadratic forms. Zbl 0113.26905
Watson, G. L.
1
1963
Positive quadratic forms with small class-numbers. Zbl 0113.26906
Watson, G. L.
1
1963
A problem of Dade on quadratic forms. Zbl 0121.28501
Watson, G. L.
1
1963
Cubic congruences. Zbl 0124.02603
Watson, G. L.
1
1964
Cubic diophantine equations. The necessary congruence condition. Zbl 0136.02902
Watson, G. L.
1
1965
Cubic diophantine equations. A supplementary congruence condition. Zbl 0136.02903
Watson, G. L.
1
1965
Biquadratic congruences. Zbl 0146.27001
Watson, G. L.
1
1965
A cubic Diophantine equation. Zbl 0179.06703
Watson, G. L.
1
1969
One-class genera of positive quadratic forms in seven variables. Zbl 0506.10017
Watson, G. L.
5
1984
One-class genera of positive quadratic forms in eight variables. Zbl 0466.10011
Watson, G. L.
3
1982
Determination of a binary quadratic form by its values at integer points: Acknowledgement. Zbl 0441.10024
Watson, G. L.
2
1980
Determination of a binary quadratic form by its values at integer points. Zbl 0402.15012
Watson, G. L.
3
1979
Existence of an indecomposable positive quadratic form in a given genus of rank at least 14. Zbl 0329.10015
Watson, G. L.
2
1979
One-class genera of positive quadratic forms in nine and ten variables. Zbl 0368.10017
Watson, G. L.
4
1978
The 2-adic density of a quadratic form. Zbl 0326.10022
Watson, G. L.
8
1976
Regular positive ternary quadratic forms. Zbl 0319.10024
Watson, G. L.
7
1976
One-class genera of positive ternary quadratic forms. II. Zbl 0307.10023
Watson, G. L.
2
1975
One-class genera of positive quadratic forms in at least five variables. Zbl 0271.10025
Watson, G. L.
1
1975
One-class genera of positive quaternary quadratic forms. Zbl 0245.10011
Watson, G. L.
1
1974
Transformations of a quadratic form which do not increase the class-number. II. Zbl 0257.10011
Watson, G. L.
3
1973
On sums of a square and five cubes. Zbl 0241.10032
Watson, G. L.
4
1972
The number of minimum points of a positive quadratic form having no perfect binary section with the same minimum. Zbl 0233.10012
Watson, G. L.
2
1972
On the minimum points of a positive quadratic form. Zbl 0219.10032
Watson, G. L.
7
1971
The number of minimum points of a positive quadratic form. Zbl 0215.34901
Watson, G. L.
5
1971
Cubic Diophantine equations with reducible cubic part. Zbl 0198.06603
Watson, G. L.
1
1970
On the minimal points of perfect septenary quadratic forms. Zbl 0185.11101
Watson, G. L.
3
1969
A cubic Diophantine equation. Zbl 0179.06703
Watson, G. L.
1
1969
Asymmetric inequalities for indefinite quadratic forms. Zbl 0157.09701
Watson, G. L.
7
1968
Diophantine equations reducible to quadratics. Zbl 0147.30102
Watson, G. L.
3
1967
Non-homogeneous cubic equations. Zbl 0159.05903
Watson, G. L.
3
1967
On the minimum of a positive quadratic form in \(n (\leq 8)\) variables (verification of Blichfeldt’s calculations). Zbl 0178.37801
Watson, G. L.
3
1966
Cubic diophantine equations. The necessary congruence condition. Zbl 0136.02902
Watson, G. L.
1
1965
Cubic diophantine equations. A supplementary congruence condition. Zbl 0136.02903
Watson, G. L.
1
1965
Biquadratic congruences. Zbl 0146.27001
Watson, G. L.
1
1965
Cubic congruences. Zbl 0124.02603
Watson, G. L.
1
1964
The class-number of a positive quadratic form. Zbl 0122.05802
Watson, G. L.
12
1963
One-class genera of positive quadratic forms. Zbl 0113.26905
Watson, G. L.
1
1963
Positive quadratic forms with small class-numbers. Zbl 0113.26906
Watson, G. L.
1
1963
A problem of Dade on quadratic forms. Zbl 0121.28501
Watson, G. L.
1
1963
Transformations of a quadratic form which do not increase the class- number. Zbl 0107.26901
Watson, G. L.
26
1962
On the gaps between the values of a rational quadratic polynomial. Zbl 0105.26801
Watson, G. L.
20
1962
Indefinite quadratic forms in many variables: the inhomogeneous minimum and a generalization. Zbl 0107.04104
Watson, G. L.
5
1962
Indefinite quadratic diophantine equations. Zbl 0102.03505
Watson, G. L.
3
1961
Integral quadratic forms. Zbl 0090.03103
Watson, G. L.
38
1960
Indefinite quadratic polynomials. Zbl 0097.26204
Watson, G. L.
10
1960
Quadratic Diophantine equations. Zbl 0102.28102
Watson, G. L.
7
1960
Cubic forms representing arithmetic progressions. Zbl 0087.04302
Watson, G. L.
1
1959
One-sided inequalities for integral quadratic forms. Zbl 0081.04402
Watson, G. L.
3
1958
Least solutions of homogeneous quadratic equations. Zbl 0077.26501
Watson, G. L.
3
1957
Bounded representations of integers by quadratic forms. Zbl 0077.26402
Watson, G. L.
2
1957
The equivalence ot quadratic forms. Zbl 0079.27201
Watson, G. L.
1
1957
On indefinite ternary quadratic forms. Zbl 0072.27204
Jones, B. W.; Watson, G. L.
10
1956
The covering of space by spheres. Zbl 0071.27401
Watson, G. L.
2
1956
Representation of integers by indefinite quadratic forms. Zbl 0065.03002
Watson, G. L.
2
1955
The representation of integers by positive ternary quadratic forms. Zbl 0056.27201
Watson, G. L.
11
1954
The minimal points of a positive definite quadratic form. Zbl 0056.04204
Davenport, Harold; Watson, G. L.
1
1954
On indefinite quadratic forms in five variables. Zbl 0050.04704
Watson, G. L.
14
1953
Minkowski’s conjectures on the critical lattices of the region \(| x| ^p + | y | ^p \leq 1\). I. Zbl 0050.04705
Watson, G. L.
4
1953
On integers \(n\) relatively prime to \([\alpha n]\). Zbl 0051.03205
Watson, G. L.
3
1953
Minkowski’s conjectures on the critical lattices of the region \(| x^p|+| y^p|\leq 1\). II. Zbl 0051.03601
Watson, G. L.
3
1953
On indefinite quadratic forms in three and four variables. Zbl 0050.04702
Watson, G. L.
2
1953
Sums of eight values of a cubic polynomial. Zbl 0046.27106
Watson, G. L.
9
1952
Representation of large numbers by cubic forms in seven positive integral variables. Zbl 0047.04201
Watson, G. L.
1
1952
A proof of the seven cube theorem. Zbl 0042.04101
Watson, G. L.
12
1951
all top 5

Cited by 186 Authors

9 Earnest, Andrew G.
8 Watson, George Leo
6 Chan, Wai Kiu
6 Kirschmer, Markus
5 Oh, Byeong-Kweon
5 Raka, Madhu
4 Dumir, Vishwa Chander
4 Hans-Gill, Rajinder J.
4 Kim, Ji Young
4 Martinet, Jacques
4 Nebe, Gabriele
3 Cook, Roger J.
3 Gerstein, Larry J.
3 Hsia, John Sollion
3 Kuz’min, E. N.
3 Malyshev, Aleksandr Vasil’evich
3 Markett, Clemens
3 Mu, Quanwu
3 Schulze-Pillot, Rainer
3 Xu, Fei
2 Aggarwal, Satish Kumar
2 Baker, Roger C.
2 Bambah, R. P.
2 Berkovich, Alexander
2 Brüdern, Jörg
2 Bureau, Jean
2 Dostanić, Milutin R.
2 Estes, Dennis Ray
2 Fiori, Andrew
2 Gamburd, Alexander
2 Görlich, Ernst
2 Gupta, Dharma P.
2 Harman, Glyn
2 Jackson, Terence H.
2 Jagy, William C.
2 James, Donald G.
2 Jaquet-Chiffelle, David-Olivier
2 Kani, Ernst J.
2 Katsurada, Hidenori
2 Li, Jinjiang
2 Lorch, David
2 Meyer, N. D.
2 Morales, Jorge Federico
2 Ramaré, Olivier
2 Ryshkov, Sergeĭ Sergeevich
2 Scharlau, Rudolf
2 Schmidt, Wolfgang M.
2 Schürmann, Achill
2 Zhang, Min
1 Allcock, Daniel Jonathan
1 An, Rong
1 Andersen, Nickolas
1 Baranovskiĭ, Evgeniĭ Petrovich
1 Baricz, Árpád
1 Batut, Christian
1 Benham, J. W.
1 Bergelson, Vitaly
1 Bertault, François
1 Bochnak, Jacek
1 Bruinier, Jan Hendrik
1 Cai, Yingchun
1 Chalk, John H. H.
1 Cho, Sungmun
1 Chu, Michelle
1 Cohn, Henry Lee
1 Colliot-Thélène, Jean-Louis
1 Conway, John Horton
1 Duke, William Drexel
1 Durfee, Alan H.
1 Dutour-Sikiric, Mathieu
1 Ebeling, Wolfgang
1 Elessar Brady, Zarathustra
1 Fainleib, A. S.
1 Ferreira, Luan Alberto
1 Fomenko, Oleg Mstislavovich
1 Freitag, Eberhard
1 Furuta, Yoshiomi
1 Gan, Wee Teck
1 Gao, Lei
1 Glassey, Robert T.
1 Glazunov, Mykola Mykhaĭlovych
1 Godin, Yuri A.
1 Gol’dman, Mikhail L’vovich
1 Golovanov, A. S.
1 Gromes, Dieter
1 Haensch, Anna
1 Hanke, Jonathan P.
1 Hironaka, Yumiko
1 Hisasue, Masaki
1 Hooley, Christopher
1 Horadam, Kathy J.
1 Horváth, Ákos G.
1 Ibukiyama, Tomoyoshi
1 Icaza, Maria Ines
1 Iwabuchi, Hiromu
1 Jiao, Yang
1 Joó, István
1 Ju, Jangwon
1 Kadiri, Habiba
1 Kaplansky, Irving
...and 86 more Authors
all top 5

Cited in 79 Serials

36 Journal of Number Theory
18 Mathematika
7 Journal of Soviet Mathematics
6 Mathematische Zeitschrift
6 International Journal of Number Theory
5 Mathematics of Computation
5 Archiv der Mathematik
5 Monatshefte für Mathematik
5 Transactions of the American Mathematical Society
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Journal of Algebra
4 Siberian Mathematical Journal
4 Journal de Théorie des Nombres de Bordeaux
4 The Ramanujan Journal
3 Israel Journal of Mathematics
3 Mathematical Notes
3 Advances in Mathematics
3 Annales de l’Institut Fourier
3 Inventiones Mathematicae
3 Mathematische Annalen
3 Nagoya Mathematical Journal
3 Proceedings of the American Mathematical Society
2 Communications in Algebra
2 Periodica Mathematica Hungarica
2 Rocky Mountain Journal of Mathematics
2 Acta Arithmetica
2 Acta Mathematica
2 Compositio Mathematica
2 Duke Mathematical Journal
2 Experimental Mathematics
2 Geometry & Topology
2 Frontiers of Mathematics in China
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Linear and Multilinear Algebra
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Arkiv för Matematik
1 Algebra and Logic
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Calcolo
1 Collectanea Mathematica
1 Czechoslovak Mathematical Journal
1 Illinois Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Results in Mathematics
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Acta Mathematicae Applicatae Sinica. English Series
1 Constructive Approximation
1 Journal of the American Mathematical Society
1 Multidimensional Systems and Signal Processing
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 Numerical Algorithms
1 Geometric and Functional Analysis. GAFA
1 Journal of Elasticity
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Acta Mathematica Sinica. New Series
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Electronic Research Announcements of the American Mathematical Society
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 Representation Theory
1 LMS Journal of Computation and Mathematics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Computational Methods and Function Theory
1 Bulletin of the American Mathematical Society
1 São Paulo Journal of Mathematical Sciences
1 Annales Mathématiques du Québec
1 Research in Number Theory

Citations by Year

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