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Heilbronn, Hans Arnold

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Author ID: heilbronn.hans-arnold Recent zbMATH articles by "Heilbronn, Hans Arnold"
Published as: Heilbronn, H; Heilbronn, H.; Heilbronn, H. A.; Heilbronn, Hans
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 63 Publications since 1931, including 1 Book
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 553 times in 474 Documents Cited by Year
On the density of discriminants of cubic fields. II. Zbl 0212.08101
Davenport, Harold; Heilbronn, H.
118
1971
On the addition of residue classes mod \(p\). Zbl 0156.04801
Erdős, Pál; Heilbronn, H.
46
1964
On indefinite quadratic forms in five variables. Zbl 0060.11914
Davenport, Harold; Heilbronn, H.
45
1946
On the zeros of certain Dirichlet series. Zbl 0014.21601
Davenport, Harold; Heilbronn, H.
32
1936
On the zeros of certain Dirichlet series. JFM 62.0138.01
Davenport, H.; Heilbronn, H.
25
1936
On the density of discriminants of cubic fields. Zbl 0211.38602
Davenport, Harold; Heilbronn, H.
24
1969
On the average length of a class of finite continued fractions. Zbl 0212.06503
Heilbronn, H.
23
1968
On the distribution of the sequence \(n^2\Theta (\mod 1)\). Zbl 0031.20502
Heilbronn, H.
18
1948
On real zeros of Dedekind \(\zeta\)-functions. Zbl 0272.12010
Heilbronn, H.
16
1973
On the imaginary quadratic corpora of class-number one. Zbl 0010.33703
Heilbronn, H.; Linfoot, E. H.
16
1934
On the class-number in imaginary quadratic fields. Zbl 0009.29602
Heilbronn, Hans
16
1934
Note on a result in the additive theory of numbers. Zbl 0016.34806
Davenport, Harold; Heilbronn, H.
15
1937
On the zeros of certain Dirichlet series. II. Zbl 0015.19802
Davenport, Harold; Heilbronn, H.
12
1936
On discrete harmonic functions. Zbl 0033.06303
Heilbronn, H. A.
10
1949
On the averages of some arithmetical functions of two variables. Zbl 0125.02604
Heilbronn, H.
9
1958
On an inequality in the elementary theory of numbers. JFM 63.0110.02
Heilbronn, H. A.
9
1937
Asymmetric inequalities for nonhomogeneous linear forms. Zbl 0031.15501
Davenport, Harold; Heilbronn, H.
8
1947
On an inequality in the elementary theory of numbers. Zbl 0016.29002
Heilbronn, H. A.
8
1937
On an exponential sum. JFM 62.0178.01
Davenport, H.; Heilbronn, H.
8
1936
On the class-number in imaginary quadratic fields. JFM 60.0155.01
Heilbronn, H.
8
1934
On an exponential sum. Zbl 0014.25201
Davenport, Harold; Heilbronn, H.
7
1936
Burnside metabelian groups. Zbl 0167.29302
Bachmuth, S.; Heilbronn, H. A.; Mochizuki, H. Y.
6
1968
On Euclid’s algorithm in cubic self-conjugate fields. Zbl 0036.30101
Heilbronn, H.
6
1950
On Euclid’s algorithm in real quadratic fields. JFM 64.0138.03
Heilbronn, H.
6
1938
On Waring’s problem: two cubes and one square. Zbl 0016.24601
Davenport, Harold; Heilbronn, H.
5
1937
On the zeros of certain Dirichlet series. JFM 62.1145.03
Davenport, H.; Heilbronn, H.
5
1936
On the 2-classgroup of cubic fields. Zbl 0249.12012
Heilbronn, H.
4
1971
On the representation of a rational as a sum of four squares by means of regular functions. Zbl 0131.28903
Heilbronn, H.
4
1964
On Euclid’s algorithm in cyclic fields. Zbl 0045.01501
Heilbronn, H.
4
1951
The collected papers of Hans Arnold Heilbronn. Zbl 0652.01038
Heilbronn, H. A.; Kani, Ernst (ed.); Smith, Robert A. (ed.)
3
1988
On real simple zeros of Dedekind \(\zeta\)-functions. Zbl 0341.12007
Heilbronn, H.
3
1972
Edmund Landau. JFM 64.0023.11
Hardy, G. H.; Heilbronn, H.
3
1938
On real characters. Zbl 0018.00605
Heilbronn, Hans
3
1937
Alle großen ganzen Zahlen lassen sich als Summe von höchstens 71 Primzahlen darstellen. Zbl 0013.19902
Heilbronn, Hans; Landau, Edmund; Scherk, Peter
3
1936
Bemerkungen zur vorstehenden Arbeit von Herrn Bochner. Zbl 0006.19605
Heilbronn, Hans; Landau, Edmund
3
1933
Über den Primzahlsatz von Herrn Hoheisel. JFM 59.0947.01
Heilbronn, H.
3
1933
On the minimum of a bilinear form. Zbl 0029.11103
Davenport, Harold; Heilbronn, H.
2
1947
Edmund Landau. Zbl 0019.38905
Hardy, G. H.; Heilbronn, H.
2
1938
Note on a result in the additive theory of numbers. JFM 63.0131.01
Davenport, H.; Heilbronn, H.
2
1937
On Waring’s problem: two cubes and one square. JFM 63.0125.02
Davenport, H.; Heilbronn, H.
2
1937
On the imaginary quadratic corpora of class-number one. JFM 60.0944.01
Heilbronn, H.; Linfoot, E. H.
2
1934
Anwendungen der N. Wienerschen Methode. Zbl 0006.19703
Heilbronn, Hans; Landau, Edmund
2
1933
Über den Primzahlsatz von Herrn Hoheisel. Zbl 0006.15603
Heilbronn, Hans
2
1933
Sums of complexes in torsion-free abelian groups. Zbl 0208.03503
Heilbronn, H.; Scherk, P.
1
1969
On the representation of homotopic classes by regular functions. Zbl 0080.16002
Heilbronn, H.
1
1958
Ein Satz über Potenzreihen. Zbl 0006.19702
Heilbronn, Hans; Landau, Edmund
1
1933
Ein Satz über Potenzreihen. JFM 59.0254.01
Heilbronn, H.; Landau, E.
1
1933
Über die Verteilung der Primzahlen in Polynomen. Zbl 0002.01502
Heilbronn, Hans
1
1931
The collected papers of Hans Arnold Heilbronn. Zbl 0652.01038
Heilbronn, H. A.; Kani, Ernst (ed.); Smith, Robert A. (ed.)
3
1988
On real zeros of Dedekind \(\zeta\)-functions. Zbl 0272.12010
Heilbronn, H.
16
1973
On real simple zeros of Dedekind \(\zeta\)-functions. Zbl 0341.12007
Heilbronn, H.
3
1972
On the density of discriminants of cubic fields. II. Zbl 0212.08101
Davenport, Harold; Heilbronn, H.
118
1971
On the 2-classgroup of cubic fields. Zbl 0249.12012
Heilbronn, H.
4
1971
On the density of discriminants of cubic fields. Zbl 0211.38602
Davenport, Harold; Heilbronn, H.
24
1969
Sums of complexes in torsion-free abelian groups. Zbl 0208.03503
Heilbronn, H.; Scherk, P.
1
1969
On the average length of a class of finite continued fractions. Zbl 0212.06503
Heilbronn, H.
23
1968
Burnside metabelian groups. Zbl 0167.29302
Bachmuth, S.; Heilbronn, H. A.; Mochizuki, H. Y.
6
1968
On the addition of residue classes mod \(p\). Zbl 0156.04801
Erdős, Pál; Heilbronn, H.
46
1964
On the representation of a rational as a sum of four squares by means of regular functions. Zbl 0131.28903
Heilbronn, H.
4
1964
On the averages of some arithmetical functions of two variables. Zbl 0125.02604
Heilbronn, H.
9
1958
On the representation of homotopic classes by regular functions. Zbl 0080.16002
Heilbronn, H.
1
1958
On Euclid’s algorithm in cyclic fields. Zbl 0045.01501
Heilbronn, H.
4
1951
On Euclid’s algorithm in cubic self-conjugate fields. Zbl 0036.30101
Heilbronn, H.
6
1950
On discrete harmonic functions. Zbl 0033.06303
Heilbronn, H. A.
10
1949
On the distribution of the sequence \(n^2\Theta (\mod 1)\). Zbl 0031.20502
Heilbronn, H.
18
1948
Asymmetric inequalities for nonhomogeneous linear forms. Zbl 0031.15501
Davenport, Harold; Heilbronn, H.
8
1947
On the minimum of a bilinear form. Zbl 0029.11103
Davenport, Harold; Heilbronn, H.
2
1947
On indefinite quadratic forms in five variables. Zbl 0060.11914
Davenport, Harold; Heilbronn, H.
45
1946
On Euclid’s algorithm in real quadratic fields. JFM 64.0138.03
Heilbronn, H.
6
1938
Edmund Landau. JFM 64.0023.11
Hardy, G. H.; Heilbronn, H.
3
1938
Edmund Landau. Zbl 0019.38905
Hardy, G. H.; Heilbronn, H.
2
1938
Note on a result in the additive theory of numbers. Zbl 0016.34806
Davenport, Harold; Heilbronn, H.
15
1937
On an inequality in the elementary theory of numbers. JFM 63.0110.02
Heilbronn, H. A.
9
1937
On an inequality in the elementary theory of numbers. Zbl 0016.29002
Heilbronn, H. A.
8
1937
On Waring’s problem: two cubes and one square. Zbl 0016.24601
Davenport, Harold; Heilbronn, H.
5
1937
On real characters. Zbl 0018.00605
Heilbronn, Hans
3
1937
Note on a result in the additive theory of numbers. JFM 63.0131.01
Davenport, H.; Heilbronn, H.
2
1937
On Waring’s problem: two cubes and one square. JFM 63.0125.02
Davenport, H.; Heilbronn, H.
2
1937
On the zeros of certain Dirichlet series. Zbl 0014.21601
Davenport, Harold; Heilbronn, H.
32
1936
On the zeros of certain Dirichlet series. JFM 62.0138.01
Davenport, H.; Heilbronn, H.
25
1936
On the zeros of certain Dirichlet series. II. Zbl 0015.19802
Davenport, Harold; Heilbronn, H.
12
1936
On an exponential sum. JFM 62.0178.01
Davenport, H.; Heilbronn, H.
8
1936
On an exponential sum. Zbl 0014.25201
Davenport, Harold; Heilbronn, H.
7
1936
On the zeros of certain Dirichlet series. JFM 62.1145.03
Davenport, H.; Heilbronn, H.
5
1936
Alle großen ganzen Zahlen lassen sich als Summe von höchstens 71 Primzahlen darstellen. Zbl 0013.19902
Heilbronn, Hans; Landau, Edmund; Scherk, Peter
3
1936
On the imaginary quadratic corpora of class-number one. Zbl 0010.33703
Heilbronn, H.; Linfoot, E. H.
16
1934
On the class-number in imaginary quadratic fields. Zbl 0009.29602
Heilbronn, Hans
16
1934
On the class-number in imaginary quadratic fields. JFM 60.0155.01
Heilbronn, H.
8
1934
On the imaginary quadratic corpora of class-number one. JFM 60.0944.01
Heilbronn, H.; Linfoot, E. H.
2
1934
Bemerkungen zur vorstehenden Arbeit von Herrn Bochner. Zbl 0006.19605
Heilbronn, Hans; Landau, Edmund
3
1933
Über den Primzahlsatz von Herrn Hoheisel. JFM 59.0947.01
Heilbronn, H.
3
1933
Anwendungen der N. Wienerschen Methode. Zbl 0006.19703
Heilbronn, Hans; Landau, Edmund
2
1933
Über den Primzahlsatz von Herrn Hoheisel. Zbl 0006.15603
Heilbronn, Hans
2
1933
Ein Satz über Potenzreihen. Zbl 0006.19702
Heilbronn, Hans; Landau, Edmund
1
1933
Ein Satz über Potenzreihen. JFM 59.0254.01
Heilbronn, H.; Landau, E.
1
1933
Über die Verteilung der Primzahlen in Polynomen. Zbl 0002.01502
Heilbronn, Hans
1
1931
all top 5

Cited by 516 Authors

9 Bhargava, Manjul
9 Vallée, Brigitte
7 Fouvry, Etienne
7 Thorne, Frank
7 Wood, Melanie Matchett
6 Baker, Roger C.
6 Cook, Roger J.
6 Dobrovol’skiĭ, Nikolai Nikolaevich
6 Harman, Glyn
6 Liu, Ming-Chit
6 Sun, Zhi-Wei
6 Taniguchi, Takashi
6 Yukie, Akihiko
5 Belabas, Karim
5 Byeon, Dongho
5 Gao, Weidong
5 Heath-Brown, Roger
5 Katz, Daniel J.
5 Rezvyakova, Irina S.
5 Shankar, Arul
4 Bennett, Michael A.
4 Cohen, Henri
4 Dumir, Vishwa Chander
4 Gritsenko, Svetlana Aleksandrovna
4 Hamidoune, Yahya Ould
4 Klüners, Jürgen
4 Mu, Quanwu
4 Stark, Harold M.
4 Tsimerman, Jacob
3 Brüdern, Jörg
3 Chow, Sam
3 Delzell, Charles N.
3 Dietmann, Rainer
3 Dobrovol’skiĭ, Mikhail Nikolaevich
3 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich
3 Foote, Richard M.
3 Ho, Wei
3 Horie, Kuniaki
3 Iwaniec, Henryk
3 Jacobson, Michael John jun.
3 Kable, Anthony C.
3 Langevin, Philippe
3 Laurinčikas, Antanas
3 Lee, Yoonbok
3 Lee, Yoonjin
3 McGown, Kevin J.
3 Odžak, Almasa
3 Ono, Ken
3 Perelli, Alberto
3 Pierce, Lillian B.
3 Prachar, Karl
3 Righetti, Mattia
3 Ruzsa, Imre Z.
3 Sanna, Carlo
3 Scheidler, Renate
3 Steuding, Jörn
3 Wang, Yuchao
3 Wright, David J.
2 Alberts, Brandon
2 Balandraud, Éric
2 Beckwith, Olivia
2 Berthé, Valérie
2 Bhanja, Jagannath
2 Bombieri, Enrico
2 Bucur, Alina
2 Cesaratto, Eda
2 Chen, Yuan
2 Cochrane, Todd
2 Cook, Richard J.
2 Deshouillers, Jean-Marc
2 Diaz y Diaz, Francisco
2 Elsholtz, Christian
2 Ernvall-Hytönen, Anne-Maria
2 Freeman, D. Eric
2 Freeze, Michael
2 Friedlander, John Benjamin
2 Geroldinger, Alfred
2 Gerth, Frank III
2 Ginsberg, Hy
2 Godwin, H. J.
2 Harron, Piper
2 Hua, Bobo
2 James, Kevin
2 Jost, Jürgen
2 Karamata, Jovan
2 Ki, Haseo
2 Kim, Henry H.
2 Konyagin, Sergeĭ Vladimirovich
2 Lev, Vsevolod F.
2 Lhote, Loïck
2 Li, Wei Ping
2 Malyshev, Aleksandr Vasil’evich
2 Mishou, Hidehiko
2 Murty, Vijaya Kumar
2 Nair, Mohan
2 Nakagawa, Jin
2 Nakamura, Takashi
2 Olivier, Michel
2 Pan, Hao
2 Parsell, Scott T.
...and 416 more Authors
all top 5

Cited in 109 Serials

76 Journal of Number Theory
18 Mathematika
15 Mathematics of Computation
15 Inventiones Mathematicae
15 Proceedings of the American Mathematical Society
14 Monatshefte für Mathematik
13 Journal de Théorie des Nombres de Bordeaux
13 International Journal of Number Theory
11 Duke Mathematical Journal
10 Transactions of the American Mathematical Society
8 Mathematische Annalen
8 Mathematische Zeitschrift
7 Journal of Combinatorial Theory. Series A
7 Bulletin of the American Mathematical Society. New Series
7 Journal of Mathematical Sciences (New York)
7 Chebyshevskiĭ Sbornik
6 Annales de l’Institut Fourier
6 Journal of Soviet Mathematics
6 Proceedings of the Japan Academy. Series A
6 The Ramanujan Journal
6 Bulletin of the American Mathematical Society
5 Israel Journal of Mathematics
5 Journal of Mathematical Analysis and Applications
5 Lithuanian Mathematical Journal
5 Mathematical Notes
5 Acta Arithmetica
5 Acta Mathematica
5 Advances in Mathematics
5 Archiv der Mathematik
5 Compositio Mathematica
5 Theoretical Computer Science
5 Annals of Mathematics. Second Series
5 Research in Number Theory
4 Discrete Mathematics
4 Journal of Algebra
4 Acta Mathematica Hungarica
4 Forum of Mathematics, Sigma
3 Functiones et Approximatio. Commentarii Mathematici
3 Glasgow Mathematical Journal
3 Journal of Approximation Theory
3 Manuscripta Mathematica
3 Journal of Symbolic Computation
3 Journal of the American Mathematical Society
3 Historia Mathematica
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Indagationes Mathematicae. New Series
3 Experimental Mathematics
3 Finite Fields and their Applications
3 Frontiers of Mathematics in China
2 Bulletin of the Australian Mathematical Society
2 Journal d’Analyse Mathématique
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Bulletin de la Société Mathématique de France
2 Nagoya Mathematical Journal
2 Journal of the Ramanujan Mathematical Society
2 Acta Mathematica Sinica. New Series
2 Doklady Mathematics
2 LMS Journal of Computation and Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Computational Methods and Function Theory
2 Proceedings of the Steklov Institute of Mathematics
2 Algebra & Number Theory
2 Research in the Mathematical Sciences
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 Journal of Mathematical Physics
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorial Theory. Series B
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Tohoku Mathematical Journal. Second Series
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Combinatorica
1 Annals of Global Analysis and Geometry
1 Constructive Approximation
1 MCSS. Mathematics of Control, Signals, and Systems
1 Forum Mathematicum
1 Science in China. Series A
1 Linear Algebra and its Applications
1 Expositiones Mathematicae
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 Sbornik: Mathematics
1 Annalen der Physik. 8th Series
1 Journal of the European Mathematical Society (JEMS)
...and 9 more Serials
all top 5

Cited in 39 Fields

415 Number theory (11-XX)
32 Group theory and generalizations (20-XX)
25 Algebraic geometry (14-XX)
15 Combinatorics (05-XX)
13 History and biography (01-XX)
12 Computer science (68-XX)
8 Field theory and polynomials (12-XX)
7 Commutative algebra (13-XX)
7 Functions of a complex variable (30-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Probability theory and stochastic processes (60-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Information and communication theory, circuits (94-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Numerical analysis (65-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Partial differential equations (35-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operator theory (47-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 Quantum theory (81-XX)
1 Nonassociative rings and algebras (17-XX)
1 Real functions (26-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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