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Oppenheim, Alexander

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Author ID: oppenheim.alexander Recent zbMATH articles by "Oppenheim, Alexander"
Published as: Oppenheim, A.; Oppenheim, Alexander
External Links: MacTutor · MGP · Wikidata
Documents Indexed: 79 Publications since 1926
Co-Authors: 5 Co-Authors with 6 Joint Publications
49 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 233 times in 183 Documents Cited by Year
Values of quadratic forms. I, II. Zbl 0050.27302
Oppenheim, A.
22
1953
Some identities in the theory of numbers. JFM 53.0150.02
Oppenheim, A.
22
1927
The representation of real numbers by infinite series of rationals. Zbl 0258.10003
Oppenheim, A.
18
1972
Inequalities connected with definite Hermitian forms. JFM 56.0106.05
Oppenheim, A.
17
1930
On an arithmetic function. II. JFM 53.0157.02
Oppenheim, A.
15
1927
On an arithmetic function. JFM 52.0163.02
Oppenheim, A.
12
1926
Criteria for irrationality of certain classes of numbers. Zbl 0055.04503
Oppenheim, A.
10
1954
Values of quadratic forms. III. Zbl 0052.04402
Oppenheim, A.
8
1953
Inequalities connected with definite Hermitian forms. II. Zbl 0056.01603
Oppenheim, A.
8
1954
The minima of indefinite quaternary quadratic forms. JFM 55.0722.01
Oppenheim, A.
8
1929
Quadratic fields with and without Euclid’s algorithm. JFM 60.0933.03
Oppenheim, A.
7
1934
The minima of positive definite Hermitian binary quadratic forms. Zbl 0009.05201
Oppenheim, A.
7
1934
Note on Mr. Cooper’s generalization of Young’s inequality. JFM 53.0219.01
Oppenheim, A.
5
1927
The minima of indefinite quaternary quadratic forms. Zbl 0002.18002
Oppenheim, Alexander
5
1931
One-sided inequalities for quadratic forms. II. Quaternary forms. Zbl 0051.28401
Oppenheim, A.
4
1953
The minima of indefinite quaternary quadratic forms. JFM 57.0193.05
Oppenheim, A.
4
1931
Criteria for irrationality of certain classes of numbers. II. Zbl 0064.28701
Diananda, P. H.; Oppenheim, A.
4
1955
The Erdős inequality and other inequalities for a triangle. Zbl 0101.13107
Oppenheim, A.
4
1961
The continued fractions associated with chains of quadratic forms. Zbl 0019.10502
Oppenheim, A.
4
1938
One-sided inequalities for quadratic forms. I. Ternary forms. Zbl 0050.27303
Oppenheim, A.
3
1953
Representations of real numbers by series of reciprocals of odd integers. Zbl 0237.10011
Oppenheim, A.
3
1971
Inequalities involving elements of triangles, quadrilaterals or tetrahedra. Zbl 0302.50003
Oppenheim, A.
3
1975
A positive definite quadratic form as the sum of two positive definite quadratic forms. I, II. Zbl 0061.08704
Oppenheim, A.
3
1947
The non-negative values of a ternary quadratic form. Zbl 0064.28301
Oppenheim, A.; Barnes, E. S.
3
1955
On the representation of real numbers by products of rational numbers. Zbl 0053.03903
Oppenheim, A.
2
1953
The irrationality or rationality of certain infinite series. Zbl 0224.10034
Oppenheim, A.
2
1971
Some inequalities for triangles. Zbl 0238.50008
Oppenheim, A.
2
1971
The approximate functional equation for the multiple theta-function and the trigonometric sums associated therewith. JFM 54.0411.01
Oppenheim, A.
2
1928
New inequalities for a triangle and an internal point. Zbl 0100.15903
Oppenheim, A.
2
1961
The arithmetical reduction of quadratic forms. Zbl 0002.24702
Oppenheim, A.
2
1931
The lower bounds of indefinite Hermitian quadratic forms. Zbl 0004.10105
Oppenheim, A.
2
1932
The minima of quaternary quadratic forms of signature zero. Zbl 0009.05102
Oppenheim, A.
2
1934
Rational approximations to irrationals. Zbl 0027.16104
Oppenheim, Alexander
2
1941
Two lattice-point problems. Zbl 0029.11202
Oppenheim, A.
2
1947
One-sided inequalities for hermitian quadratic forms. Zbl 0050.04703
Oppenheim, A.
1
1953
Rational approximations to irrationals. JFM 67.0142.02
Oppenheim, A.
1
1941
The continued fractions associated with chains of quadratic forms. JFM 64.0112.01
Oppenheim, A.
1
1938
Diophantische Approximationen in imaginär quadratischen Zahlkörpern. JFM 63.0151.02
Oppenheim, A.
1
1937
A symmetric method of fitting lines and planes. JFM 54.0592.23
Roos, C. F.; Oppenheim, A.
1
1928
Remark on the minimum of quadratic forms. Zbl 0061.08705
Oppenheim, A.
1
1947
A note on continued fractions. Zbl 0091.04803
Oppenheim, A.
1
1960
The rational integral solution of the equation \(a(x^ 3 +y^ 3) = b(u^ 3 +v^ 3)\) and allied diophantine equations. Zbl 0125.29701
Oppenheim, A.
1
1964
On inequalities connecting arithmetic means and geometric means of two sets of three positive numbers. Zbl 0137.03102
Oppenheim, Alexander
1
1965
Triangles with rational sides and angle ratios. Zbl 0144.27703
Daykin, D. E.; Oppenheim, A.
1
1967
On inequalities connecting arithmetic means and geometric means of two sets of three positive numbers. II. Zbl 0155.38302
Oppenheim, A.
1
1968
The irrationality of certain infinite products. Zbl 0164.35306
Oppenheim, A.
1
1968
Quadratic fields with and without Euclid’s algorithm. Zbl 0008.19503
Oppenheim, Alexander
1
1934
The lower bounds of Hermitian quadratic forms in any quadratic field. Zbl 0013.24502
Oppenheim, A.
1
1936
Inequalities involving elements of triangles, quadrilaterals or tetrahedra. Zbl 0302.50003
Oppenheim, A.
3
1975
The representation of real numbers by infinite series of rationals. Zbl 0258.10003
Oppenheim, A.
18
1972
Representations of real numbers by series of reciprocals of odd integers. Zbl 0237.10011
Oppenheim, A.
3
1971
The irrationality or rationality of certain infinite series. Zbl 0224.10034
Oppenheim, A.
2
1971
Some inequalities for triangles. Zbl 0238.50008
Oppenheim, A.
2
1971
On inequalities connecting arithmetic means and geometric means of two sets of three positive numbers. II. Zbl 0155.38302
Oppenheim, A.
1
1968
The irrationality of certain infinite products. Zbl 0164.35306
Oppenheim, A.
1
1968
Triangles with rational sides and angle ratios. Zbl 0144.27703
Daykin, D. E.; Oppenheim, A.
1
1967
On inequalities connecting arithmetic means and geometric means of two sets of three positive numbers. Zbl 0137.03102
Oppenheim, Alexander
1
1965
The rational integral solution of the equation \(a(x^ 3 +y^ 3) = b(u^ 3 +v^ 3)\) and allied diophantine equations. Zbl 0125.29701
Oppenheim, A.
1
1964
The Erdős inequality and other inequalities for a triangle. Zbl 0101.13107
Oppenheim, A.
4
1961
New inequalities for a triangle and an internal point. Zbl 0100.15903
Oppenheim, A.
2
1961
A note on continued fractions. Zbl 0091.04803
Oppenheim, A.
1
1960
Criteria for irrationality of certain classes of numbers. II. Zbl 0064.28701
Diananda, P. H.; Oppenheim, A.
4
1955
The non-negative values of a ternary quadratic form. Zbl 0064.28301
Oppenheim, A.; Barnes, E. S.
3
1955
Criteria for irrationality of certain classes of numbers. Zbl 0055.04503
Oppenheim, A.
10
1954
Inequalities connected with definite Hermitian forms. II. Zbl 0056.01603
Oppenheim, A.
8
1954
Values of quadratic forms. I, II. Zbl 0050.27302
Oppenheim, A.
22
1953
Values of quadratic forms. III. Zbl 0052.04402
Oppenheim, A.
8
1953
One-sided inequalities for quadratic forms. II. Quaternary forms. Zbl 0051.28401
Oppenheim, A.
4
1953
One-sided inequalities for quadratic forms. I. Ternary forms. Zbl 0050.27303
Oppenheim, A.
3
1953
On the representation of real numbers by products of rational numbers. Zbl 0053.03903
Oppenheim, A.
2
1953
One-sided inequalities for hermitian quadratic forms. Zbl 0050.04703
Oppenheim, A.
1
1953
A positive definite quadratic form as the sum of two positive definite quadratic forms. I, II. Zbl 0061.08704
Oppenheim, A.
3
1947
Two lattice-point problems. Zbl 0029.11202
Oppenheim, A.
2
1947
Remark on the minimum of quadratic forms. Zbl 0061.08705
Oppenheim, A.
1
1947
Rational approximations to irrationals. Zbl 0027.16104
Oppenheim, Alexander
2
1941
Rational approximations to irrationals. JFM 67.0142.02
Oppenheim, A.
1
1941
The continued fractions associated with chains of quadratic forms. Zbl 0019.10502
Oppenheim, A.
4
1938
The continued fractions associated with chains of quadratic forms. JFM 64.0112.01
Oppenheim, A.
1
1938
Diophantische Approximationen in imaginär quadratischen Zahlkörpern. JFM 63.0151.02
Oppenheim, A.
1
1937
The lower bounds of Hermitian quadratic forms in any quadratic field. Zbl 0013.24502
Oppenheim, A.
1
1936
Quadratic fields with and without Euclid’s algorithm. JFM 60.0933.03
Oppenheim, A.
7
1934
The minima of positive definite Hermitian binary quadratic forms. Zbl 0009.05201
Oppenheim, A.
7
1934
The minima of quaternary quadratic forms of signature zero. Zbl 0009.05102
Oppenheim, A.
2
1934
Quadratic fields with and without Euclid’s algorithm. Zbl 0008.19503
Oppenheim, Alexander
1
1934
The lower bounds of indefinite Hermitian quadratic forms. Zbl 0004.10105
Oppenheim, A.
2
1932
The minima of indefinite quaternary quadratic forms. Zbl 0002.18002
Oppenheim, Alexander
5
1931
The minima of indefinite quaternary quadratic forms. JFM 57.0193.05
Oppenheim, A.
4
1931
The arithmetical reduction of quadratic forms. Zbl 0002.24702
Oppenheim, A.
2
1931
Inequalities connected with definite Hermitian forms. JFM 56.0106.05
Oppenheim, A.
17
1930
The minima of indefinite quaternary quadratic forms. JFM 55.0722.01
Oppenheim, A.
8
1929
The approximate functional equation for the multiple theta-function and the trigonometric sums associated therewith. JFM 54.0411.01
Oppenheim, A.
2
1928
A symmetric method of fitting lines and planes. JFM 54.0592.23
Roos, C. F.; Oppenheim, A.
1
1928
Some identities in the theory of numbers. JFM 53.0150.02
Oppenheim, A.
22
1927
On an arithmetic function. II. JFM 53.0157.02
Oppenheim, A.
15
1927
Note on Mr. Cooper’s generalization of Young’s inequality. JFM 53.0219.01
Oppenheim, A.
5
1927
On an arithmetic function. JFM 52.0163.02
Oppenheim, A.
12
1926
all top 5

Cited by 185 Authors

7 Hofreiter, Nikolaus
7 Oppenheim, Alexander
5 Dumir, Vishwa Chander
5 Hančl, Jaroslav
5 Knopfmacher, Arnold
5 Knopfmacher, John
5 Pollack, Paul
4 Markham, Thomas L.
4 Worley, R. T.
3 Berndt, Bruce Carl
3 Bump, Daniel
3 Galambos, Janos
3 Hans-Gill, Rajinder J.
3 Lebowitz-Lockard, Noah
3 Liu, Jian
3 Margulis, Grigoriĭ Aleksandrovich
3 Ramharter, Gerhard
2 Bambah, R. P.
2 Banerjee, Debika
2 Bapat, Ravindra Bhalchandra
2 Baruch, Ehud Moshe
2 Beineke, Jennifer E.
2 Buterus, Paul
2 Dixit, Atul
2 Fiedler, Miroslav
2 Giuliano, Rita
2 Götze, Friedrich
2 Hernane, Mohand-Ouamar
2 Hille, Thomas
2 Hwang, Hsien-Kuei
2 Just, Matthew
2 Laurinčikas, Antanas
2 Malyshev, Aleksandr Vasil’evich
2 Nicolas, Jean-Louis
2 Nyblom, Michael A.
2 Oberseider, Hannskarl
2 Raka, Madhu
2 Rédei, László
2 Serbenyuk, Symon Oleksandrovych
2 Sunder, Viakalathur S.
2 Tijdeman, Robert
2 Yukie, Akihiko
2 Zaharescu, Alexandru
2 Zhang, Fuzhen
2 Zygmund, Antoni
1 Aggarwal, Satish Kumar
1 Andersen, Nickolas
1 Athreya, Jayadev S.
1 Atkinson, Frederick Valentine
1 Babenko, Konstantin Ivanovich
1 Balasubramanian, Ramachandran
1 Balazard, Michel
1 Barnes, E. S.
1 Bhatia, Rajendra
1 Bibiloni, Lluís
1 Borel, Armand
1 Broughan, Kevin A.
1 Burris, Stanley N.
1 Canfield, E. Rodney
1 Cappell, Sylvain E.
1 Carroll, C. E.
1 Černigova, Sondra
1 Chammam, Wathek
1 Chan, Wai Kiu
1 Chatland, Harold
1 Choudhry, Ajai
1 Dajani, Karma
1 Dani, Shrikrishna Gopalrao
1 Davis, Chandler
1 Dawsey, Madeline Locus
1 Deléglise, Marc
1 Deligero, Eveyth P.
1 DeTurck, Dennis M.
1 Deutsch, Emeric
1 Ding, Changxing
1 Duke, William Drexel
1 Eggan, L. C.
1 Erdős, Pál
1 Errthum, Eric
1 Fan, Ai Hua
1 Fang, Lulu
1 Fëdorov, Gleb Vladimirovich
1 Feng, Lihua
1 Feng, Yan
1 Freeden, Willi
1 Garloff, Jürgen
1 Gittelson, Claude Jeffrey
1 Gluck, Herman
1 Godunova, E. K.
1 Grone, Robert D.
1 Gruber, Peter Manfred
1 Günther, Matthias
1 Gupta, Dharma P.
1 Han, Jiyoung
1 Haq, Wasim Ul
1 Hejhal, Dennis A.
1 Hensley, Doug
1 Herman, Michael Robert
1 Hutchinson, George K.
1 Icaza, Maria Ines
...and 85 more Authors
all top 5

Cited in 78 Serials

24 Journal of Number Theory
10 Linear Algebra and its Applications
8 Mathematische Zeitschrift
8 Monatshefte für Mathematik
7 Monatshefte für Mathematik und Physik
6 Journal of the Australian Mathematical Society
5 Mathematische Annalen
5 The Ramanujan Journal
4 Acta Mathematica
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
3 Journal of Mathematical Analysis and Applications
3 Lithuanian Mathematical Journal
3 Rocky Mountain Journal of Mathematics
3 Acta Arithmetica
3 Aequationes Mathematicae
3 Indagationes Mathematicae. New Series
3 Acta Mathematica et Informatica Universitatis Ostraviensis
3 International Journal of Number Theory
2 Linear and Multilinear Algebra
2 Advances in Mathematics
2 Czechoslovak Mathematical Journal
2 Inventiones Mathematicae
2 Journal of Soviet Mathematics
2 Mathematica Slovaca
2 Results in Mathematics
2 Forum Mathematicum
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Inequalities and Applications
2 Integers
2 Journal of Modern Dynamics
2 Special Matrices
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 International Journal of Control
1 International Journal of Systems Science
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Moscow University Mathematics Bulletin
1 Periodica Mathematica Hungarica
1 Mathematics of Computation
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Publications Mathématiques
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Geometry
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematika
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quaestiones Mathematicae
1 Siberian Mathematical Journal
1 Tokyo Journal of Mathematics
1 Acta Mathematica Hungarica
1 Journal of Symbolic Computation
1 Constructive Approximation
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 Journal of the Ramanujan Mathematical Society
1 Elemente der Mathematik
1 Tatra Mountains Mathematical Publications
1 Doklady Mathematics
1 Abstract and Applied Analysis
1 Mathematical Inequalities & Applications
1 Journal of Integer Sequences
1 Nihonkai Mathematical Journal
1 Acta Numerica
1 Bulletin of the American Mathematical Society
1 Chebyshevskiĭ Sbornik
1 Operators and Matrices
1 International Electronic Journal of Geometry
1 Eurasian Mathematical Journal
1 Forum of Mathematics, Sigma
1 Journal of Mathematics
1 Transactions of the American Mathematical Society. Series B

Citations by Year

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