×
Compute Distance To:
Author ID: selberg.atle Recent zbMATH articles by "Selberg, Atle"
Published as: Selberg, Atle; Selberg, A.
Further Spellings: Сельберг Атле
Homepage: http://publications.ias.edu/selberg
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Fields Medal (1950) · Wolf Prize (1986)
Documents Indexed: 58 Publications since 1936, including 7 Books
1 Contribution as Editor
Biographic References: 8 Publications
Co-Authors: 8 Co-Authors with 5 Joint Publications
613 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 1,483 times in 1,331 Documents Cited by Year
Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series. Zbl 0072.08201
Selberg, Atle
369
1956
On the estimation of Fourier coefficients of modular forms. Zbl 0142.33903
Selberg, Atle
147
1965
Old and new conjectures and results about a class of Dirichlet series. Zbl 0787.11037
Selberg, Atle
115
1992
Contributions to the theory of the Riemann zeta-function. Zbl 0061.08402
Selberg, Atle
82
1946
On Epstein’s zeta-function. Zbl 0166.05204
Selberg, Atle; Chowla, Sarvadaman
79
1967
On discontinuous groups in higher-dimensional symmetric spaces. Zbl 0201.36603
Selberg, Atle
68
1960
On the normal density of primes in small intervals, and the difference between consecutive primes. Zbl 0063.06869
Selberg, Atle
59
1943
Note on a paper by L. G. Sathe. Zbl 0057.28502
Selberg, Atle
56
1954
Collected papers. Volume I. Zbl 0675.10001
Selberg, Atle
50
1989
Bemerkungen über ein vielfaches Integral. Zbl 0063.06870
Selberg, Atle
44
1944
An elementary proof of the prime-number theorem. Zbl 0036.30604
Selberg, Atle
39
1949
Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. Zbl 0023.22201
Selberg, Atle
38
1940
Collected papers. Volume II. Zbl 0729.11001
Selberg, Atle
32
1991
Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. JFM 66.0377.01
Selberg, A.
23
1940
On Epstein’s zeta-function. I. Zbl 0032.39103
Chowla, Sarvadaman; Selberg, Atle
21
1949
An elementary proof of the prime-number theorem for arithmetic progressions. Zbl 0036.30605
Selberg, Atle
20
1950
On an elementary method in the theory of primes. Zbl 0041.01903
Selberg, Atle
19
1947
Über einige arithmetische Identitäten. JFM 62.1068.04
Selberg, A.
19
1936
On the zeros of the zeta-function of Riemann. JFM 68.0161.02
Selberg, A.
18
1942
An elementary proof of Dirichlet’s theorem about primes in an arithmetic progression. Zbl 0036.30603
Selberg, Atle
17
1949
On the zeros of Riemann’s Zeta-function on the critical line. Zbl 0027.20201
Selberg, Atle
16
1942
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
13
1944
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
10
1972
On the zeros of Riemann’s zeta-function. Zbl 0028.11101
Selberg, Atle
10
1943
On the zeros of Riemann’s zeta-function on the critical line. JFM 68.0161.01
Selberg, A.
10
1942
Selected mathematical papers. With a biography written by Viggo Brun, and an introduction by Carl Ludwig Siegel. Edited by Trygve Nagell, Atle Selberg, Sigmund Selberg, Knut Thalberg. Zbl 0359.01021
Thue, Axel
10
1977
Über die Fourierkoeffizienten elliptischer Modulformen negativer Dimension. JFM 65.0352.02
Selberg, A.
9
1938
Über einen Satz von A. Gelfond. JFM 67.0270.01
Selberg, A.
8
1941
Discontinuous groups and harmonic analysis. Zbl 0209.44001
Selberg, Atle
7
1969
On integer-valued entire transcendental functions. I, II. (Über ganzwertige ganze transzendente Funktionen. I, II.) JFM 67.0270.02
Selberg, A.
6
1941
The zeta-function and the Riemann hypothesis. Zbl 0030.05003
Selberg, Atle
5
1947
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
Contributions to the theory of Dirichlet’s \(L\)-functions. Zbl 0061.08404
Selberg, Atle
4
1944
On mock theta-functions of seventh order. (Über die Mock-Thetafunktionen siebenter Ordnung.) Zbl 0018.39903
Selberg, Atle
4
1938
Sieve methods. Zbl 0222.10048
Selberg, Atle
4
1971
Remarks on multiplicative functions. Zbl 0367.10041
Selberg, Atle
4
1977
Collected papers. Volume I. Reprint of the 1989 original. Zbl 1295.11002
Selberg, Atle
4
2014
Reflections around the Ramanujan centenary. Zbl 0746.11003
Selberg, Atle
3
1989
On the zeros of the zeta-function of Riemann. Zbl 0028.34903
Selberg, Atle
3
1943
On elementary methods in prime number theory and their limitations. Zbl 0048.03101
Selberg, Atle
3
1952
Elementary proof of theorem about the distribution of prime numbers. (Démonstration élémentaire du théorème sur la distribution des nombres premiers.) Zbl 0038.18106
Selberg, Atle; Erdős, Pál; van der Corput, J. G.
2
1948
Automorphic functions and integral operators. Zbl 0095.28202
Selberg, Atle
2
1958
On some arithmetic identities. (Über einige arithmetische Identitäten.) Zbl 0016.24701
Selberg, Atle
1
1936
On the Fourier coefficients of elliptic modular forms of negative dimension. (Über die Fourierkoeffizienten elliptischer Modulformen negativer Dimension.) Zbl 0021.02503
Selberg, Atle
1
1939
On integer-valued entire transcendental functions. (Über ganzwertige ganze transzendente Funktionen.) Zbl 0024.32904
Selberg, Atle
1
1941
On integer-valued entire transcendental functions. II. (Über ganzwertige ganze transzendente Funktionen. II.) Zbl 0025.16801
Selberg, Atle
1
1941
The general sieve-method and its place in prime number theory. Zbl 0049.31105
Selberg, Atle
1
1952
Sifting problems, sifting density, and sieves. Zbl 0675.10030
Selberg, Atle
1
1989
Remarks on the distribution of poles of Eisenstein series. Zbl 0712.11034
Selberg, Atle
1
1990
Recent developments in the theory of discontinuous groups of motions of symmetric spaces. Zbl 0236.53050
Selberg, Atle
1
1972
Collected papers. Volume II. Reprint of the 1991 hardback edition. Zbl 1302.11001
Selberg, Atle
1
2014
Collected papers. Volume I. Reprint of the 1989 original. Zbl 1295.11002
Selberg, Atle
4
2014
Collected papers. Volume II. Reprint of the 1991 hardback edition. Zbl 1302.11001
Selberg, Atle
1
2014
Old and new conjectures and results about a class of Dirichlet series. Zbl 0787.11037
Selberg, Atle
115
1992
Collected papers. Volume II. Zbl 0729.11001
Selberg, Atle
32
1991
Remarks on the distribution of poles of Eisenstein series. Zbl 0712.11034
Selberg, Atle
1
1990
Collected papers. Volume I. Zbl 0675.10001
Selberg, Atle
50
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
Selected mathematical papers. With a biography written by Viggo Brun, and an introduction by Carl Ludwig Siegel. Edited by Trygve Nagell, Atle Selberg, Sigmund Selberg, Knut Thalberg. Zbl 0359.01021
Thue, Axel
10
1977
Remarks on multiplicative functions. Zbl 0367.10041
Selberg, Atle
4
1977
Remarks on sieves. Zbl 0341.10041
Selberg, Atle
10
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
4
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
79
1967
On the estimation of Fourier coefficients of modular forms. Zbl 0142.33903
Selberg, Atle
147
1965
On discontinuous groups in higher-dimensional symmetric spaces. Zbl 0201.36603
Selberg, Atle
68
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
369
1956
Note on a paper by L. G. Sathe. Zbl 0057.28502
Selberg, Atle
56
1954
On elementary methods in prime number theory and their limitations. Zbl 0048.03101
Selberg, Atle
3
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
20
1950
An elementary proof of the prime-number theorem. Zbl 0036.30604
Selberg, Atle
39
1949
On Epstein’s zeta-function. I. Zbl 0032.39103
Chowla, Sarvadaman; Selberg, Atle
21
1949
An elementary proof of Dirichlet’s theorem about primes in an arithmetic progression. Zbl 0036.30603
Selberg, Atle
17
1949
Elementary proof of theorem about the distribution of prime numbers. (Démonstration élémentaire du théorème sur la distribution des nombres premiers.) 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
19
1947
The zeta-function and the Riemann hypothesis. Zbl 0030.05003
Selberg, Atle
5
1947
Contributions to the theory of the Riemann zeta-function. Zbl 0061.08402
Selberg, Atle
82
1946
Bemerkungen über ein vielfaches Integral. Zbl 0063.06870
Selberg, Atle
44
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
13
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
59
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 Riemann’s zeta-function. Zbl 0028.11101
Selberg, Atle
10
1943
On the zeros of the zeta-function of Riemann. Zbl 0028.34903
Selberg, Atle
3
1943
On the zeros of the zeta-function of Riemann. JFM 68.0161.02
Selberg, A.
18
1942
On the zeros of Riemann’s Zeta-function on the critical line. Zbl 0027.20201
Selberg, Atle
16
1942
On the zeros of Riemann’s zeta-function on the critical line. JFM 68.0161.01
Selberg, A.
10
1942
Über einen Satz von A. Gelfond. JFM 67.0270.01
Selberg, A.
8
1941
On integer-valued entire transcendental functions. I, II. (Über ganzwertige ganze transzendente Funktionen. I, II.) JFM 67.0270.02
Selberg, A.
6
1941
On integer-valued entire transcendental functions. (Über ganzwertige ganze transzendente Funktionen.) Zbl 0024.32904
Selberg, Atle
1
1941
On integer-valued entire transcendental functions. II. (Über ganzwertige ganze transzendente Funktionen. II.) Zbl 0025.16801
Selberg, Atle
1
1941
Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. Zbl 0023.22201
Selberg, Atle
38
1940
Bemerkungen über eine Dirichletsche Reihe, die mit der Theorie der Modulformen nahe verbunden ist. JFM 66.0377.01
Selberg, A.
23
1940
On the Fourier coefficients of elliptic modular forms of negative dimension. (Über die Fourierkoeffizienten elliptischer Modulformen negativer Dimension.) Zbl 0021.02503
Selberg, Atle
1
1939
Über die Fourierkoeffizienten elliptischer Modulformen negativer Dimension. JFM 65.0352.02
Selberg, A.
9
1938
Über die Mock-Thetafunktionen siebenter Ordnung. JFM 64.1091.03
Selberg, A.
5
1938
On mock theta-functions of seventh order. (Über die Mock-Thetafunktionen siebenter Ordnung.) Zbl 0018.39903
Selberg, Atle
4
1938
Über einige arithmetische Identitäten. JFM 62.1068.04
Selberg, A.
19
1936
On some arithmetic identities. (Über einige arithmetische Identitäten.) Zbl 0016.24701
Selberg, Atle
1
1936
all top 5

Cited by 1,281 Authors

22 Sarnak, Peter Clive
16 Perelli, Alberto
13 Fujii, Akio
13 Korolëv, Maksim Aleksandrovich
11 Murty, Maruti Ram
11 Zaharescu, Alexandru
10 Kaczorowski, Jerzy
10 Motohashi, Yoichi
9 Berestovskiĭ, Valeriĭ Nikolaevich
9 Ivić, Aleksandar
9 Jorgenson, Jay Alan
9 Patterson, Samuel James
9 Steuding, Jörn
9 Venkov, Alexei Borisovich
8 Christian, Ulrich
8 Fomenko, Oleg Mstislavovich
8 Granville, Andrew James
8 Gritsenko, Sergeĭ Aleksandrovich
8 Ki, Haseo
8 Kurokawa, Nobushige
8 Lao, Huixue
8 Robles, Nicolas
8 Smajlović, Lejla
8 Tenenbaum, Gérald
7 Bourgain, Jean
7 Duke, William Drexel
7 Gamburd, Alexander
7 Goldston, Daniel Alan
7 Hejhal, Dennis A.
7 Kontorovich, Alex V.
7 Lu, Guangshi
6 Gonek, Steven M.
6 Imamoḡlu, Özlem
6 Laurinčikas, Antanas
6 Lee, Yoonbok
6 Macaitienė, Renata
6 Stade, Eric
5 Alkan, Emre
5 Andrews, George Eyre
5 Avdispahić, Muharem
5 Carneiro, Emanuel
5 Chen, Zhiqi
5 Chirre, Andrés
5 Conrey, John Brian
5 Forrester, Peter J.
5 Goldfeld, Dorian Morris
5 Li, Baoqin
5 Masri, Riad
5 Milinovich, Micah B.
5 Nikonorov, Yurii Gennadyevich
5 Ono, Ken
5 Reznikov, Andre
5 Roy, Arindam
5 Sunada, Toshikazu
5 Takhtajan, Leon Armenovich
5 Vaaler, Jeffrey D.
5 Wolke, Dieter
5 Wolpert, Scott A.
5 Zhai, Wenguang
4 Balazard, Michel
4 Blomer, Valentin
4 Bourgade, Paul
4 Bringmann, Kathrin
4 Buttcane, Jack
4 Bykovskiĭ, Viktor Alekseevich
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 Halder, Samar
4 Harcos, Gergely
4 Kaneko, Jyoichi
4 Kanemitsu, Shigeru
4 Korevaar, Jacob
4 Levinson, Norman
4 Li, Wen-Ch’ing Winnie
4 Luo, Wenzhi
4 Magee, Michael
4 Michel, Philippe Gabriel
4 Molteni, Giuseppe
4 Muić, Goran
4 Ostrovskii, Dmitrii M.
4 Phillips, Ralph Saul
4 Pitt, Nigel J. E.
4 Pohl, Anke D.
4 Pollicott, Mark
4 Proskurin, Nikolaĭ Vital’evich
4 Ramaré, Olivier
4 Sahoo, Pulak
4 Shaikh, Absos Ali
4 Soundararajan, Kannan
4 Tanigawa, Yoshio
4 Tóth, Árpád
...and 1,181 more Authors
all top 5

Cited in 239 Serials

108 Journal of Number Theory
48 Duke Mathematical Journal
48 Transactions of the American Mathematical Society
47 Mathematische Annalen
37 Proceedings of the American Mathematical Society
37 The Ramanujan Journal
36 Inventiones Mathematicae
34 Bulletin of the American Mathematical Society. New Series
31 Proceedings of the Japan Academy. Series A
27 Mathematische Zeitschrift
25 Communications in Mathematical Physics
24 Journal of Soviet Mathematics
22 Journal of Mathematical Analysis and Applications
21 Annales de l’Institut Fourier
21 Monatshefte für Mathematik
19 Functiones et Approximatio. Commentarii Mathematici
18 Mathematics of Computation
17 Journal de Théorie des Nombres de Bordeaux
15 Acta Mathematica
15 Annals of Mathematics. Second Series
14 Proceedings of the Steklov Institute of Mathematics
13 Archiv der Mathematik
13 International Journal of Number Theory
12 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
12 Advances in Mathematics
12 Compositio Mathematica
12 Journal of Functional Analysis
12 Geometric and Functional Analysis. GAFA
11 Israel Journal of Mathematics
10 Journal of Mathematical Sciences (New York)
10 Journal of the European Mathematical Society (JEMS)
9 Rocky Mountain Journal of Mathematics
9 Manuscripta Mathematica
9 Acta Mathematica Hungarica
9 Bulletin of the American Mathematical Society
8 Mathematical Notes
8 Results in Mathematics
8 Siberian Mathematical Journal
8 Science China. Mathematics
8 Research in the Mathematical Sciences
7 Journal of Statistical Physics
7 Letters in Mathematical Physics
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Indagationes Mathematicae. New Series
7 Journal of High Energy Physics
7 Research in Number Theory
6 Lithuanian Mathematical Journal
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Tohoku Mathematical Journal. Second Series
6 Advances in Applied Mathematics
6 Annals of Global Analysis and Geometry
6 Journal of the American Mathematical Society
6 Forum Mathematicum
6 The Journal of Geometric Analysis
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Acta Mathematica Sinica. English Series
6 Proceedings of the Japan Academy
5 Journal of Geometry and Physics
5 The Mathematical Intelligencer
5 Acta Arithmetica
5 The Annals of Probability
5 Mathematika
5 Differential Geometry and its Applications
5 St. Petersburg Mathematical Journal
5 Doklady Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Acta Mathematica Academiae Scientiarum Hungaricae
4 Indian Journal of Pure & Applied Mathematics
4 Journal d’Analyse Mathématique
4 Journal of Mathematical Physics
4 Functional Analysis and its Applications
4 Geometriae Dedicata
4 Illinois Journal of Mathematics
4 Journal of Approximation Theory
4 Journal für die Reine und Angewandte Mathematik
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Ergodic Theory and Dynamical Systems
4 Science in China. Series A
4 Kyushu Journal of Mathematics
4 Algebraic & Geometric Topology
4 Chebyshevskiĭ Sbornik
3 Discrete Mathematics
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 the Mathematical Society of Japan
3 Nagoya Mathematical Journal
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Revista Matemática Iberoamericana
3 Aequationes Mathematicae
3 L’Enseignement Mathématique. 2e Série
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Transformation Groups
3 Geometry & Topology
3 Computational Methods and Function Theory
3 Journal of Statistical Mechanics: Theory and Experiment
3 Frontiers of Mathematics in China
...and 139 more Serials
all top 5

Cited in 50 Fields

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

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.