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Selberg, Atle

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Author ID: selberg.atle Recent zbMATH articles by "Selberg, Atle"
Published as: Selberg, A.; Selberg, Atle
Homepage: http://publications.ias.edu/selberg
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Awards: Fields Medal (1950) · Wolf Prize (1986)
Documents Indexed: 58 Publications since 1936, including 7 Books
Biographic References: 8 Publications

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 1,444 times in 1,294 Documents Cited by Year
Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series. Zbl 0072.08201
Selberg, Atle
344
1956
On the estimation of Fourier coefficients of modular forms. Zbl 0142.33903
Selberg, Atle
165
1965
Old and new conjectures and results about a class of Dirichlet series. Zbl 0787.11037
Selberg, Atle
101
1992
On Epstein’s zeta-function. Zbl 0166.05204
Selberg, Atle; Chowla, Sarvadaman
75
1967
Contributions to the theory of the Riemann zeta-function. Zbl 0061.08402
Selberg, Atle
74
1946
Bemerkungen über ein vielfaches Integral. Zbl 0063.06870
Selberg, Atle
71
1944
On discontinuous groups in higher-dimensional symmetric spaces. Zbl 0201.36603
Selberg, Atle
64
1960
On the normal density of primes in small intervals, and the difference between consecutive primes. Zbl 0063.06869
Selberg, Atle
52
1943
Collected papers. Volume I. Zbl 0675.10001
Selberg, Atle
49
1989
Note on a paper by L. G. Sathe. Zbl 0057.28502
Selberg, Atle
49
1954
Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. Zbl 0023.22201
Selberg, Atle
42
1940
An elementary proof of the prime-number theorem. Zbl 0036.30604
Selberg, Atle
37
1949
Collected papers. Volume II. Zbl 0729.11001
Selberg, Atle
34
1991
Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. JFM 66.0377.01
Selberg, A.
22
1940
On Epstein’s zeta-function. I. Zbl 0032.39103
Chowla, Sarvadaman; Selberg, Atle
20
1949
An elementary proof of the prime-number theorem for arithmetic progressions. Zbl 0036.30605
Selberg, Atle
18
1950
On the zeros of Riemann’s Zeta-function on the critical line. Zbl 0027.20201
Selberg, Atle
18
1942
Über einige arithmetische Identitäten. JFM 62.1068.04
Selberg, A.
18
1936
On an elementary method in the theory of primes. Zbl 0041.01903
Selberg, Atle
17
1947
On the zeros of the zeta-function of Riemann. JFM 68.0161.02
Selberg, A.
16
1942
An elementary proof of Dirichlet’s theorem about primes in an arithmetic progression. Zbl 0036.30603
Selberg, Atle
15
1949
On the zeros of Riemann’s zeta-function. Zbl 0028.11101
Selberg, Atle
13
1943
On the normal density of primes in small intervals, and the difference between consecutive primes. Zbl 0028.34802
Selberg, Atle
12
1943
Remarks on sieves. Zbl 0341.10041
Selberg, Atle
11
1972
The zeta-function and the Riemann hypothesis. Zbl 0030.05003
Selberg, Atle
9
1947
On the zeros of Riemann’s zeta-function on the critical line. JFM 68.0161.01
Selberg, A.
9
1942
Über einen Satz von A. Gelfond. JFM 67.0270.01
Selberg, A.
8
1941
Über die Fourierkoeffizienten elliptischer Modulformen negativer Dimension. JFM 65.0352.02
Selberg, A.
8
1938
Discontinuous groups and harmonic analysis. Zbl 0209.44001
Selberg, Atle
7
1969
On the remainder in the formula for \(N(T)\), the number of zeros of \(\zeta(s)\) in the strip \(0<t<T\). Zbl 0061.08401
Selberg, Atle
7
1944
On integer-valued entire transcendental functions. I, II. JFM 67.0270.02
Selberg, A.
6
1941
Sieve methods. Zbl 0222.10048
Selberg, Atle
5
1971
Recent developments in the theory of discontinuous groups of motions of symmetric spaces. Zbl 0197.18002
Selberg, Atle
5
1970
Über die Mock-Thetafunktionen siebenter Ordnung. JFM 64.1091.03
Selberg, A.
5
1938
Remarks on multiplicative functions. Zbl 0367.10041
Selberg, Atle
4
1977
Contributions to the theory of Dirichlet’s \(L\)-functions. Zbl 0061.08404
Selberg, Atle
4
1944
On mock theta-functions of seventh order. Zbl 0018.39903
Selberg, Atle
4
1938
On some arithmetic identities. Zbl 0016.24701
Selberg, Atle
4
1936
Remarks on the distribution of poles of Eisenstein series. Zbl 0712.11034
Selberg, Atle
3
1990
Reflections around the Ramanujan centenary. Zbl 0746.11003
Selberg, Atle
3
1989
Collected papers. Volume I. Reprint of the 1989 original. Zbl 1295.11002
Selberg, Atle
2
2014
Automorphic functions and integral operators. Zbl 0095.28202
Selberg, Atle
2
1958
On elementary methods in prime number theory and their limitations. Zbl 0048.03101
Selberg, Atle
2
1952
Elementary proof of theorem about the distribution of prime numbers. Zbl 0038.18106
Selberg, Atle; Erdős, Pál; van der Corput, J. G.
2
1948
On the zeros of the zeta-function of Riemann. Zbl 0028.34903
Selberg, Atle
2
1943
Sifting problems, sifting density, and sieves. Zbl 0675.10030
Selberg, Atle
1
1989
Recent developments in the theory of discontinuous groups of motions of symmetric spaces. Zbl 0236.53050
Selberg, Atle
1
1972
The general sieve-method and its place in prime number theory. Zbl 0049.31105
Selberg, Atle
1
1952
On integer-valued entire transcendental functions. II. Zbl 0025.16801
Selberg, Atle
1
1941
On integer-valued entire transcendental functions. Zbl 0024.32904
Selberg, Atle
1
1941
On the Fourier coefficients of elliptic modular forms of negative dimension. Zbl 0021.02503
Selberg, Atle
1
1939
Collected papers. Volume I. Reprint of the 1989 original. Zbl 1295.11002
Selberg, Atle
2
2014
Old and new conjectures and results about a class of Dirichlet series. Zbl 0787.11037
Selberg, Atle
101
1992
Collected papers. Volume II. Zbl 0729.11001
Selberg, Atle
34
1991
Remarks on the distribution of poles of Eisenstein series. Zbl 0712.11034
Selberg, Atle
3
1990
Collected papers. Volume I. Zbl 0675.10001
Selberg, Atle
49
1989
Reflections around the Ramanujan centenary. Zbl 0746.11003
Selberg, Atle
3
1989
Sifting problems, sifting density, and sieves. Zbl 0675.10030
Selberg, Atle
1
1989
Remarks on multiplicative functions. Zbl 0367.10041
Selberg, Atle
4
1977
Remarks on sieves. Zbl 0341.10041
Selberg, Atle
11
1972
Recent developments in the theory of discontinuous groups of motions of symmetric spaces. Zbl 0236.53050
Selberg, Atle
1
1972
Sieve methods. Zbl 0222.10048
Selberg, Atle
5
1971
Recent developments in the theory of discontinuous groups of motions of symmetric spaces. Zbl 0197.18002
Selberg, Atle
5
1970
Discontinuous groups and harmonic analysis. Zbl 0209.44001
Selberg, Atle
7
1969
On Epstein’s zeta-function. Zbl 0166.05204
Selberg, Atle; Chowla, Sarvadaman
75
1967
On the estimation of Fourier coefficients of modular forms. Zbl 0142.33903
Selberg, Atle
165
1965
On discontinuous groups in higher-dimensional symmetric spaces. Zbl 0201.36603
Selberg, Atle
64
1960
Automorphic functions and integral operators. Zbl 0095.28202
Selberg, Atle
2
1958
Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series. Zbl 0072.08201
Selberg, Atle
344
1956
Note on a paper by L. G. Sathe. Zbl 0057.28502
Selberg, Atle
49
1954
On elementary methods in prime number theory and their limitations. Zbl 0048.03101
Selberg, Atle
2
1952
The general sieve-method and its place in prime number theory. Zbl 0049.31105
Selberg, Atle
1
1952
An elementary proof of the prime-number theorem for arithmetic progressions. Zbl 0036.30605
Selberg, Atle
18
1950
An elementary proof of the prime-number theorem. Zbl 0036.30604
Selberg, Atle
37
1949
On Epstein’s zeta-function. I. Zbl 0032.39103
Chowla, Sarvadaman; Selberg, Atle
20
1949
An elementary proof of Dirichlet’s theorem about primes in an arithmetic progression. Zbl 0036.30603
Selberg, Atle
15
1949
Elementary proof of theorem about the distribution of prime numbers. Zbl 0038.18106
Selberg, Atle; Erdős, Pál; van der Corput, J. G.
2
1948
On an elementary method in the theory of primes. Zbl 0041.01903
Selberg, Atle
17
1947
The zeta-function and the Riemann hypothesis. Zbl 0030.05003
Selberg, Atle
9
1947
Contributions to the theory of the Riemann zeta-function. Zbl 0061.08402
Selberg, Atle
74
1946
Bemerkungen über ein vielfaches Integral. Zbl 0063.06870
Selberg, Atle
71
1944
On the remainder in the formula for \(N(T)\), the number of zeros of \(\zeta(s)\) in the strip \(0<t<T\). Zbl 0061.08401
Selberg, Atle
7
1944
Contributions to the theory of Dirichlet’s \(L\)-functions. Zbl 0061.08404
Selberg, Atle
4
1944
On the normal density of primes in small intervals, and the difference between consecutive primes. Zbl 0063.06869
Selberg, Atle
52
1943
On the zeros of Riemann’s zeta-function. Zbl 0028.11101
Selberg, Atle
13
1943
On the normal density of primes in small intervals, and the difference between consecutive primes. Zbl 0028.34802
Selberg, Atle
12
1943
On the zeros of the zeta-function of Riemann. Zbl 0028.34903
Selberg, Atle
2
1943
On the zeros of Riemann’s Zeta-function on the critical line. Zbl 0027.20201
Selberg, Atle
18
1942
On the zeros of the zeta-function of Riemann. JFM 68.0161.02
Selberg, A.
16
1942
On the zeros of Riemann’s zeta-function on the critical line. JFM 68.0161.01
Selberg, A.
9
1942
Über einen Satz von A. Gelfond. JFM 67.0270.01
Selberg, A.
8
1941
On integer-valued entire transcendental functions. I, II. JFM 67.0270.02
Selberg, A.
6
1941
On integer-valued entire transcendental functions. II. Zbl 0025.16801
Selberg, Atle
1
1941
On integer-valued entire transcendental functions. Zbl 0024.32904
Selberg, Atle
1
1941
Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. Zbl 0023.22201
Selberg, Atle
42
1940
Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. JFM 66.0377.01
Selberg, A.
22
1940
On the Fourier coefficients of elliptic modular forms of negative dimension. Zbl 0021.02503
Selberg, Atle
1
1939
Über die Fourierkoeffizienten elliptischer Modulformen negativer Dimension. JFM 65.0352.02
Selberg, A.
8
1938
Über die Mock-Thetafunktionen siebenter Ordnung. JFM 64.1091.03
Selberg, A.
5
1938
On mock theta-functions of seventh order. Zbl 0018.39903
Selberg, Atle
4
1938
Über einige arithmetische Identitäten. JFM 62.1068.04
Selberg, A.
18
1936
On some arithmetic identities. Zbl 0016.24701
Selberg, Atle
4
1936
all top 5

Cited by 1,245 Authors

24 Sarnak, Peter Clive
16 Perelli, Alberto
13 Fujii, Akio
12 Korolëv, Maksim Aleksandrovich
12 Murty, Maruti Ram
11 Zaharescu, Alexandru
10 Kaczorowski, Jerzy
10 Motohashi, Yoichi
9 Berestovskiĭ, Valeriĭ Nikolaevich
9 Ivić, Aleksandar P.
9 Jorgenson, Jay Alan
9 Patterson, Samuel James
9 Venkov, Alexei Borisovich
8 Bourgain, Jean
8 Christian, Ulrich
8 Fomenko, Oleg Mstislavovich
8 Gamburd, Alexander
8 Granville, Andrew James
8 Gritsenko, Svetlana Aleksandrovna
8 Ki, Haseo
8 Lao, Huixue
8 Lu, Guangshi
8 Smajlović, Lejla
8 Tenenbaum, Gérald
7 Goldston, Daniel Alan
7 Gonek, Steven M.
7 Hejhal, Dennis A.
7 Kurokawa, Nobushige
7 Robles, Nicolas
6 Duke, William Drexel
6 Kontorovich, Alex V.
6 Lee, Yoonbok
6 Regev, Amitai
6 Stade, Eric
6 Steuding, Jörn
6 Warnaar, S. Ole
5 Alkan, Emre
5 Andrews, George Eyre
5 Avdispahić, Muharem
5 Balazard, Michel
5 Bringmann, Kathrin
5 Conrey, John Brian
5 Forrester, Peter J.
5 Goldfeld, Dorian Morris
5 Macaitienė, Renata
5 Masri, Riad
5 Milinovich, Micah B.
5 Nikonorov, Yurii Gennadyevich
5 Reznikov, Andre
5 Sunada, Toshikazu
5 Takhtajan, Leon Armenovich
5 Vaaler, Jeffrey D.
5 Wolke, Dieter
5 Wolpert, Scott A.
4 Blomer, Valentin
4 Bourgade, Paul
4 Bui, Hung Manh
4 Buser, Peter
4 Carneiro, Emanuel
4 Deitmar, Anton
4 Elstrodt, Jürgen
4 Farmer, David W.
4 Fried, David
4 Friedlander, John Benjamin
4 Garunkštis, Ramūnas
4 Ghosh, Amit
4 Good, Anton
4 Grosche, Christian
4 Gross, Benedict Hyman
4 Hafner, James Lee
4 Harcos, Gergely
4 Imamoḡlu, Özlem
4 Ito, Masahiko
4 Ji, Lizhen
4 Korevaar, Jacob
4 Levinson, Norman
4 Li, Baoqin
4 Luo, Wenzhi
4 Mazhouda, Kamel
4 Michel, Philippe Gabriel
4 Molteni, Giuseppe
4 Muić, Goran
4 Ono, Ken
4 Ostrovskii, Dmitrii M.
4 Phillips, Ralph Saul
4 Pitt, Nigel J. E.
4 Pollicott, Mark
4 Proskurin, Nikolaĭ Vital’evich
4 Ramaré, Olivier
4 Richards, Donald St. P.
4 Roy, Arindam
4 Soundararajan, Kannan
4 Tanigawa, Yoshio
4 Xi, Ping
4 Zhai, Wenguang
4 Zograf, P. G.
4 Zubareva, Irina Aleksandrovna
3 Angelantonj, Carlo
3 Barquero-Sanchez, Adrian
3 Bazzanella, Danilo
...and 1,145 more Authors
all top 5

Cited in 225 Serials

115 Journal of Number Theory
48 Duke Mathematical Journal
45 Transactions of the American Mathematical Society
44 Mathematische Annalen
37 Inventiones Mathematicae
35 Proceedings of the American Mathematical Society
35 Bulletin of the American Mathematical Society. New Series
32 The Ramanujan Journal
31 Proceedings of the Japan Academy. Series A
27 Mathematische Zeitschrift
25 Advances in Mathematics
24 Journal of Mathematical Analysis and Applications
24 Journal of Soviet Mathematics
23 Communications in Mathematical Physics
21 Annales de l’Institut Fourier
20 Monatshefte für Mathematik
18 Mathematics of Computation
18 Functiones et Approximatio. Commentarii Mathematici
17 Journal de Théorie des Nombres de Bordeaux
15 Acta Mathematica
15 Journal of Functional Analysis
14 Annals of Mathematics. Second Series
14 Proceedings of the Steklov Institute of Mathematics
13 Archiv der Mathematik
13 Advances in Applied Mathematics
12 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
11 Israel Journal of Mathematics
11 Compositio Mathematica
10 Geometric and Functional Analysis. GAFA
10 Journal of Mathematical Sciences (New York)
10 International Journal of Number Theory
9 Rocky Mountain Journal of Mathematics
9 Bulletin of the American Mathematical Society
8 Manuscripta Mathematica
8 Acta Mathematica Hungarica
8 Indagationes Mathematicae. New Series
8 Journal of High Energy Physics
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Research in the Mathematical Sciences
7 Journal of Statistical Physics
7 Mathematical Notes
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Results in Mathematics
7 Siberian Mathematical Journal
7 Journal of the European Mathematical Society (JEMS)
7 Science China. Mathematics
6 Letters in Mathematical Physics
6 Journal of Approximation Theory
6 Tohoku Mathematical Journal. Second Series
6 Annals of Global Analysis and Geometry
6 Acta Mathematica Sinica. English Series
6 Proceedings of the Japan Academy
5 Discrete Mathematics
5 Journal of Geometry and Physics
5 The Mathematical Intelligencer
5 Mathematika
5 Journal of the American Mathematical Society
5 Forum Mathematicum
5 Differential Geometry and its Applications
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 St. Petersburg Mathematical Journal
5 Research in Number Theory
4 Acta Mathematica Academiae Scientiarum Hungaricae
4 Journal d’Analyse Mathématique
4 Journal of Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Acta Arithmetica
4 The Annals of Probability
4 Functional Analysis and its Applications
4 Geometriae Dedicata
4 Illinois Journal of Mathematics
4 Journal of Computational and Applied Mathematics
4 European Journal of Combinatorics
4 Science in China. Series A
4 The Journal of Geometric Analysis
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Doklady Mathematics
4 Algebraic & Geometric Topology
4 Chebyshevskiĭ Sbornik
3 Indian Journal of Pure & Applied Mathematics
3 Lithuanian Mathematical Journal
3 Mathematische Semesterberichte
3 Russian Mathematical Surveys
3 Bulletin de la Société Mathématique de France
3 Glasgow Mathematical Journal
3 Publications Mathématiques
3 Journal of Combinatorial Theory. Series A
3 Journal of the Mathematical Society of Japan
3 Journal of Multivariate Analysis
3 Nagoya Mathematical Journal
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Revista Matemática Iberoamericana
3 Aequationes Mathematicae
3 Linear Algebra and its Applications
3 Transformation Groups
3 Geometry & Topology
3 Computational Methods and Function Theory
3 Frontiers of Mathematics in China
2 American Mathematical Monthly
...and 125 more Serials
all top 5

Cited in 53 Fields

909 Number theory (11-XX)
115 Functions of a complex variable (30-XX)
100 Differential geometry (53-XX)
88 Global analysis, analysis on manifolds (58-XX)
86 Topological groups, Lie groups (22-XX)
80 Special functions (33-XX)
69 Dynamical systems and ergodic theory (37-XX)
68 Combinatorics (05-XX)
61 Group theory and generalizations (20-XX)
49 Partial differential equations (35-XX)
47 Quantum theory (81-XX)
42 Algebraic geometry (14-XX)
41 Probability theory and stochastic processes (60-XX)
40 Several complex variables and analytic spaces (32-XX)
34 Manifolds and cell complexes (57-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
18 History and biography (01-XX)
15 Abstract harmonic analysis (43-XX)
14 Approximations and expansions (41-XX)
12 Nonassociative rings and algebras (17-XX)
11 Operator theory (47-XX)
10 Real functions (26-XX)
10 Ordinary differential equations (34-XX)
10 Functional analysis (46-XX)
8 Measure and integration (28-XX)
8 Sequences, series, summability (40-XX)
7 Statistics (62-XX)
7 Relativity and gravitational theory (83-XX)
6 Geometry (51-XX)
6 Numerical analysis (65-XX)
6 Computer science (68-XX)
5 General and overarching topics; collections (00-XX)
4 Field theory and polynomials (12-XX)
4 Integral transforms, operational calculus (44-XX)
4 Mechanics of particles and systems (70-XX)
3 Mathematical logic and foundations (03-XX)
3 Associative rings and algebras (16-XX)
3 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
2 Commutative algebra (13-XX)
2 Potential theory (31-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Information and communication theory, circuits (94-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Integral equations (45-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)

Citations by Year

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