Edit Profile (opens in new tab) Oppenheim, Alexander Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 72 single-authored 2 Aitken, Alexander Craig 1 Barnes, E. S. 1 Davies, Roy O. 1 Daykin, David E. 1 Diananda, P. H. 1 Roos, Charles Frederick all top 5 Serials 12 Journal of the London Mathematical Society 9 Proceedings of the London Mathematical Society. Second Series 6 Monatshefte für Mathematik und Physik 6 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique 6 The Quarterly Journal of Mathematics. Oxford Series 5 American Mathematical Monthly 4 Bulletin of the American Mathematical Society 3 The Mathematical Gazette 3 Acta Arithmetica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Annals of Mathematics. Second Series 2 Proceedings of the Cambridge Philosophical Society 2 Proceedings of the Royal Society of Edinburgh 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Arabian Journal for Science and Engineering 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America Fields 20 Number theory (11-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) Publications by Year all cited Publications top 5 cited Publications 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 0050.27302Oppenheim, A. 22 1953 Some identities in the theory of numbers. JFM 53.0150.02Oppenheim, A. 22 1927 The representation of real numbers by infinite series of rationals. Zbl 0258.10003Oppenheim, A. 18 1972 Inequalities connected with definite Hermitian forms. JFM 56.0106.05Oppenheim, A. 17 1930 On an arithmetic function. II. JFM 53.0157.02Oppenheim, A. 15 1927 On an arithmetic function. JFM 52.0163.02Oppenheim, A. 12 1926 Criteria for irrationality of certain classes of numbers. Zbl 0055.04503Oppenheim, A. 10 1954 Values of quadratic forms. III. Zbl 0052.04402Oppenheim, A. 8 1953 Inequalities connected with definite Hermitian forms. II. Zbl 0056.01603Oppenheim, A. 8 1954 The minima of indefinite quaternary quadratic forms. JFM 55.0722.01Oppenheim, A. 8 1929 Quadratic fields with and without Euclid’s algorithm. JFM 60.0933.03Oppenheim, A. 7 1934 The minima of positive definite Hermitian binary quadratic forms. Zbl 0009.05201Oppenheim, A. 7 1934 Note on Mr. Cooper’s generalization of Young’s inequality. JFM 53.0219.01Oppenheim, A. 5 1927 The minima of indefinite quaternary quadratic forms. Zbl 0002.18002Oppenheim, Alexander 5 1931 One-sided inequalities for quadratic forms. II. Quaternary forms. Zbl 0051.28401Oppenheim, A. 4 1953 The minima of indefinite quaternary quadratic forms. JFM 57.0193.05Oppenheim, A. 4 1931 Criteria for irrationality of certain classes of numbers. II. Zbl 0064.28701Diananda, P. H.; Oppenheim, A. 4 1955 The Erdős inequality and other inequalities for a triangle. Zbl 0101.13107Oppenheim, A. 4 1961 The continued fractions associated with chains of quadratic forms. Zbl 0019.10502Oppenheim, A. 4 1938 One-sided inequalities for quadratic forms. I. Ternary forms. Zbl 0050.27303Oppenheim, A. 3 1953 Representations of real numbers by series of reciprocals of odd integers. Zbl 0237.10011Oppenheim, A. 3 1971 Inequalities involving elements of triangles, quadrilaterals or tetrahedra. Zbl 0302.50003Oppenheim, A. 3 1975 A positive definite quadratic form as the sum of two positive definite quadratic forms. I, II. Zbl 0061.08704Oppenheim, A. 3 1947 The non-negative values of a ternary quadratic form. Zbl 0064.28301Oppenheim, A.; Barnes, E. S. 3 1955 On the representation of real numbers by products of rational numbers. Zbl 0053.03903Oppenheim, A. 2 1953 The irrationality or rationality of certain infinite series. Zbl 0224.10034Oppenheim, A. 2 1971 Some inequalities for triangles. Zbl 0238.50008Oppenheim, A. 2 1971 The approximate functional equation for the multiple theta-function and the trigonometric sums associated therewith. JFM 54.0411.01Oppenheim, A. 2 1928 New inequalities for a triangle and an internal point. Zbl 0100.15903Oppenheim, A. 2 1961 The arithmetical reduction of quadratic forms. Zbl 0002.24702Oppenheim, A. 2 1931 The lower bounds of indefinite Hermitian quadratic forms. Zbl 0004.10105Oppenheim, A. 2 1932 The minima of quaternary quadratic forms of signature zero. Zbl 0009.05102Oppenheim, A. 2 1934 Rational approximations to irrationals. Zbl 0027.16104Oppenheim, Alexander 2 1941 Two lattice-point problems. Zbl 0029.11202Oppenheim, A. 2 1947 One-sided inequalities for hermitian quadratic forms. Zbl 0050.04703Oppenheim, A. 1 1953 Rational approximations to irrationals. JFM 67.0142.02Oppenheim, A. 1 1941 The continued fractions associated with chains of quadratic forms. JFM 64.0112.01Oppenheim, A. 1 1938 Diophantische Approximationen in imaginär quadratischen Zahlkörpern. JFM 63.0151.02Oppenheim, A. 1 1937 A symmetric method of fitting lines and planes. JFM 54.0592.23Roos, C. F.; Oppenheim, A. 1 1928 Remark on the minimum of quadratic forms. Zbl 0061.08705Oppenheim, A. 1 1947 A note on continued fractions. Zbl 0091.04803Oppenheim, 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 0125.29701Oppenheim, A. 1 1964 On inequalities connecting arithmetic means and geometric means of two sets of three positive numbers. Zbl 0137.03102Oppenheim, Alexander 1 1965 Triangles with rational sides and angle ratios. Zbl 0144.27703Daykin, D. E.; Oppenheim, A. 1 1967 On inequalities connecting arithmetic means and geometric means of two sets of three positive numbers. II. Zbl 0155.38302Oppenheim, A. 1 1968 The irrationality of certain infinite products. Zbl 0164.35306Oppenheim, A. 1 1968 Quadratic fields with and without Euclid’s algorithm. Zbl 0008.19503Oppenheim, Alexander 1 1934 The lower bounds of Hermitian quadratic forms in any quadratic field. Zbl 0013.24502Oppenheim, A. 1 1936 Inequalities involving elements of triangles, quadrilaterals or tetrahedra. Zbl 0302.50003Oppenheim, A. 3 1975 The representation of real numbers by infinite series of rationals. Zbl 0258.10003Oppenheim, A. 18 1972 Representations of real numbers by series of reciprocals of odd integers. Zbl 0237.10011Oppenheim, A. 3 1971 The irrationality or rationality of certain infinite series. Zbl 0224.10034Oppenheim, A. 2 1971 Some inequalities for triangles. Zbl 0238.50008Oppenheim, A. 2 1971 On inequalities connecting arithmetic means and geometric means of two sets of three positive numbers. II. Zbl 0155.38302Oppenheim, A. 1 1968 The irrationality of certain infinite products. Zbl 0164.35306Oppenheim, A. 1 1968 Triangles with rational sides and angle ratios. Zbl 0144.27703Daykin, D. E.; Oppenheim, A. 1 1967 On inequalities connecting arithmetic means and geometric means of two sets of three positive numbers. Zbl 0137.03102Oppenheim, 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 0125.29701Oppenheim, A. 1 1964 The Erdős inequality and other inequalities for a triangle. Zbl 0101.13107Oppenheim, A. 4 1961 New inequalities for a triangle and an internal point. Zbl 0100.15903Oppenheim, A. 2 1961 A note on continued fractions. Zbl 0091.04803Oppenheim, A. 1 1960 Criteria for irrationality of certain classes of numbers. II. Zbl 0064.28701Diananda, P. H.; Oppenheim, A. 4 1955 The non-negative values of a ternary quadratic form. Zbl 0064.28301Oppenheim, A.; Barnes, E. S. 3 1955 Criteria for irrationality of certain classes of numbers. Zbl 0055.04503Oppenheim, A. 10 1954 Inequalities connected with definite Hermitian forms. II. Zbl 0056.01603Oppenheim, A. 8 1954 Values of quadratic forms. I, II. Zbl 0050.27302Oppenheim, A. 22 1953 Values of quadratic forms. III. Zbl 0052.04402Oppenheim, A. 8 1953 One-sided inequalities for quadratic forms. II. Quaternary forms. Zbl 0051.28401Oppenheim, A. 4 1953 One-sided inequalities for quadratic forms. I. Ternary forms. Zbl 0050.27303Oppenheim, A. 3 1953 On the representation of real numbers by products of rational numbers. Zbl 0053.03903Oppenheim, A. 2 1953 One-sided inequalities for hermitian quadratic forms. Zbl 0050.04703Oppenheim, A. 1 1953 A positive definite quadratic form as the sum of two positive definite quadratic forms. I, II. Zbl 0061.08704Oppenheim, A. 3 1947 Two lattice-point problems. Zbl 0029.11202Oppenheim, A. 2 1947 Remark on the minimum of quadratic forms. Zbl 0061.08705Oppenheim, A. 1 1947 Rational approximations to irrationals. Zbl 0027.16104Oppenheim, Alexander 2 1941 Rational approximations to irrationals. JFM 67.0142.02Oppenheim, A. 1 1941 The continued fractions associated with chains of quadratic forms. Zbl 0019.10502Oppenheim, A. 4 1938 The continued fractions associated with chains of quadratic forms. JFM 64.0112.01Oppenheim, A. 1 1938 Diophantische Approximationen in imaginär quadratischen Zahlkörpern. JFM 63.0151.02Oppenheim, A. 1 1937 The lower bounds of Hermitian quadratic forms in any quadratic field. Zbl 0013.24502Oppenheim, A. 1 1936 Quadratic fields with and without Euclid’s algorithm. JFM 60.0933.03Oppenheim, A. 7 1934 The minima of positive definite Hermitian binary quadratic forms. Zbl 0009.05201Oppenheim, A. 7 1934 The minima of quaternary quadratic forms of signature zero. Zbl 0009.05102Oppenheim, A. 2 1934 Quadratic fields with and without Euclid’s algorithm. Zbl 0008.19503Oppenheim, Alexander 1 1934 The lower bounds of indefinite Hermitian quadratic forms. Zbl 0004.10105Oppenheim, A. 2 1932 The minima of indefinite quaternary quadratic forms. Zbl 0002.18002Oppenheim, Alexander 5 1931 The minima of indefinite quaternary quadratic forms. JFM 57.0193.05Oppenheim, A. 4 1931 The arithmetical reduction of quadratic forms. Zbl 0002.24702Oppenheim, A. 2 1931 Inequalities connected with definite Hermitian forms. JFM 56.0106.05Oppenheim, A. 17 1930 The minima of indefinite quaternary quadratic forms. JFM 55.0722.01Oppenheim, A. 8 1929 The approximate functional equation for the multiple theta-function and the trigonometric sums associated therewith. JFM 54.0411.01Oppenheim, A. 2 1928 A symmetric method of fitting lines and planes. JFM 54.0592.23Roos, C. F.; Oppenheim, A. 1 1928 Some identities in the theory of numbers. JFM 53.0150.02Oppenheim, A. 22 1927 On an arithmetic function. II. JFM 53.0157.02Oppenheim, A. 15 1927 Note on Mr. Cooper’s generalization of Young’s inequality. JFM 53.0219.01Oppenheim, A. 5 1927 On an arithmetic function. JFM 52.0163.02Oppenheim, A. 12 1926 all cited Publications top 5 cited Publications 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 all top 5 Cited in 37 Fields 108 Number theory (11-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 10 Real functions (26-XX) 7 Geometry (51-XX) 6 Topological groups, Lie groups (22-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 4 Algebraic geometry (14-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Sequences, series, summability (40-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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