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Roth, Klaus Friedrich

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Author ID: roth.klaus-f Recent zbMATH articles by "Roth, Klaus Friedrich"
Published as: Roth, Klaus F.; Roth, K. F.; Roth, Klaus Friedrich; Roth, Klaus
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Fields Medal (1958)
Documents Indexed: 42 Publications since 1947, including 4 Books
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 954 times in 802 Documents Cited by Year
Rational approximations to algebraic numbers. Zbl 0064.28501
Roth, Klaus F.
182
1955
On certain sets of integers. Zbl 0050.04002
Roth, Klaus F.
150
1953
On irregularities of distribution. Zbl 0057.28604
Roth, Klaus F.
150
1954
Sequences. Vol. I. Zbl 0141.04405
Halberstam, H.; Roth, Klaus F.
60
1966
Sequences. (Reprint). Zbl 0498.10001
Halberstam, H.; Roth, Klaus F.
40
1983
Rational approximations to algebraic numbers. Zbl 0066.29302
Davenport, Harold; Roth, Klaus F.
38
1955
Remark concerning integer sequences. Zbl 0125.29601
Roth, Klaus F.
35
1964
On irregularities of distribution. IV. Zbl 0425.10057
Roth, Klaus F.
33
1980
Some asymptotic formulae in the theory of partitions. Zbl 0057.03902
Roth, Klaus F.; Szekeres, George
31
1954
Sur quelques ensembles d’entiers. Zbl 0046.04302
Roth, Klaus F.
30
1952
On a problem of Heilbronn. Zbl 0043.16303
Roth, Klaus F.
28
1951
The solubility of certain Diophantine inequalities. Zbl 0066.29301
Davenport, Harold; Roth, Klaus F.
22
1955
On certain sets of integers. II. Zbl 0055.27201
Roth, Klaus F.
14
1954
On a problem of Heilbronn. II. Zbl 0248.52013
Roth, Klaus F.
12
1972
On a problem of Heilbronn. III. Zbl 0253.52001
Roth, Klaus F.
12
1972
On Waring’s problem for cubes. Zbl 0043.27303
Roth, K. F.
12
1951
Developments in Heilbronn’s triangle problem. Zbl 0338.52005
Roth, Klaus F.
11
1976
A problem in additiv number theory. Zbl 0044.03601
Roth, Klaus F.
11
1951
On the gaps between squarefree numbers. Zbl 0043.04802
Roth, Klaus F.
9
1951
On the gaps between consecutive \(k\)-free integers. Zbl 0043.04901
Halberstam, H.; Roth, Klaus F.
9
1951
On the large sieves of Linnik and Renyi. Zbl 0137.25904
Roth, Klaus F.
9
1965
On irregularities of distribution. III. Zbl 0425.10056
Roth, Klaus F.
8
1979
Proof that almost all positive integers are sums of a square, a positive cube and a fourth power. Zbl 0032.01401
Roth, Klaus F.
8
1949
On irregularities of distribution. II. Zbl 0327.60019
Roth, Klaus F.
6
1976
On a theorem of Beck. Zbl 0584.10035
Roth, Klaus F.
4
1985
Irregularities of sequences relative to arithmetic progressions. IV. Zbl 0252.10051
Roth, Klaus F.
4
1972
Irregularities of sequences relative to arithmetic progressions. Zbl 0151.03604
Roth, Klaus F.
4
1967
Irregularities of sequences relative to arithmetic progressions. II. Zbl 0166.05005
Roth, Klaus F.
4
1967
On cosine polynomials corresponding to sets of integers. Zbl 0261.10026
Roth, Klaus F.
3
1973
Inefficiency in packing squares with unit squares. Zbl 0373.05026
Roth, Klaus F.; Vaughan, R. C.
3
1978
A theorem involving squarefree numbers. Zbl 0030.01504
Roth, Klaus F.
3
1947
Irregularities of sequences relative to arithmetic progressions. III. Zbl 0208.06001
Roth, Klaus F.
3
1970
Corrigendum: Rational approximations to algebraic numbers. Zbl 0066.29303
Roth, K. F.
2
1955
Obituary: Theodor Estermann. Zbl 0820.01015
Roth, Klaus F.; Vaughan, R. C.
1
1994
A note on lattice coverings. Zbl 0046.27702
Bambah, R. P.; Roth, Klaus F.
1
1952
The large sieve. Zbl 0169.37503
Roth, Klaus F.
1
1968
Limitations to regularity. Zbl 0954.11027
Roth, K. F.
1
2000
Limitations to regularity. Zbl 0954.11027
Roth, K. F.
1
2000
Obituary: Theodor Estermann. Zbl 0820.01015
Roth, Klaus F.; Vaughan, R. C.
1
1994
On a theorem of Beck. Zbl 0584.10035
Roth, Klaus F.
4
1985
Sequences. (Reprint). Zbl 0498.10001
Halberstam, H.; Roth, Klaus F.
40
1983
On irregularities of distribution. IV. Zbl 0425.10057
Roth, Klaus F.
33
1980
On irregularities of distribution. III. Zbl 0425.10056
Roth, Klaus F.
8
1979
Inefficiency in packing squares with unit squares. Zbl 0373.05026
Roth, Klaus F.; Vaughan, R. C.
3
1978
Developments in Heilbronn’s triangle problem. Zbl 0338.52005
Roth, Klaus F.
11
1976
On irregularities of distribution. II. Zbl 0327.60019
Roth, Klaus F.
6
1976
On cosine polynomials corresponding to sets of integers. Zbl 0261.10026
Roth, Klaus F.
3
1973
On a problem of Heilbronn. II. Zbl 0248.52013
Roth, Klaus F.
12
1972
On a problem of Heilbronn. III. Zbl 0253.52001
Roth, Klaus F.
12
1972
Irregularities of sequences relative to arithmetic progressions. IV. Zbl 0252.10051
Roth, Klaus F.
4
1972
Irregularities of sequences relative to arithmetic progressions. III. Zbl 0208.06001
Roth, Klaus F.
3
1970
The large sieve. Zbl 0169.37503
Roth, Klaus F.
1
1968
Irregularities of sequences relative to arithmetic progressions. Zbl 0151.03604
Roth, Klaus F.
4
1967
Irregularities of sequences relative to arithmetic progressions. II. Zbl 0166.05005
Roth, Klaus F.
4
1967
Sequences. Vol. I. Zbl 0141.04405
Halberstam, H.; Roth, Klaus F.
60
1966
On the large sieves of Linnik and Renyi. Zbl 0137.25904
Roth, Klaus F.
9
1965
Remark concerning integer sequences. Zbl 0125.29601
Roth, Klaus F.
35
1964
Rational approximations to algebraic numbers. Zbl 0064.28501
Roth, Klaus F.
182
1955
Rational approximations to algebraic numbers. Zbl 0066.29302
Davenport, Harold; Roth, Klaus F.
38
1955
The solubility of certain Diophantine inequalities. Zbl 0066.29301
Davenport, Harold; Roth, Klaus F.
22
1955
Corrigendum: Rational approximations to algebraic numbers. Zbl 0066.29303
Roth, K. F.
2
1955
On irregularities of distribution. Zbl 0057.28604
Roth, Klaus F.
150
1954
Some asymptotic formulae in the theory of partitions. Zbl 0057.03902
Roth, Klaus F.; Szekeres, George
31
1954
On certain sets of integers. II. Zbl 0055.27201
Roth, Klaus F.
14
1954
On certain sets of integers. Zbl 0050.04002
Roth, Klaus F.
150
1953
Sur quelques ensembles d’entiers. Zbl 0046.04302
Roth, Klaus F.
30
1952
A note on lattice coverings. Zbl 0046.27702
Bambah, R. P.; Roth, Klaus F.
1
1952
On a problem of Heilbronn. Zbl 0043.16303
Roth, Klaus F.
28
1951
On Waring’s problem for cubes. Zbl 0043.27303
Roth, K. F.
12
1951
A problem in additiv number theory. Zbl 0044.03601
Roth, Klaus F.
11
1951
On the gaps between squarefree numbers. Zbl 0043.04802
Roth, Klaus F.
9
1951
On the gaps between consecutive \(k\)-free integers. Zbl 0043.04901
Halberstam, H.; Roth, Klaus F.
9
1951
Proof that almost all positive integers are sums of a square, a positive cube and a fourth power. Zbl 0032.01401
Roth, Klaus F.
8
1949
A theorem involving squarefree numbers. Zbl 0030.01504
Roth, Klaus F.
3
1947
all top 5

Cited by 842 Authors

23 Pillichshammer, Friedrich
14 Erdős, Pál
14 Schmidt, Wolfgang M.
13 Bugeaud, Yann
12 Beck, József
12 Sárközy, András
8 Bilyk, Dmitry
8 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich
8 Hinrichs, Aicke
8 Rodl, Vojtech
8 Szemerédi, Endre
7 Adamczewski, Boris
7 Dick, Josef
7 Hebbinghaus, Nils
7 Kritzer, Peter
7 Kritzinger, Ralph
7 Larcher, Gerhard
7 Richmond, L. Bruce
7 Schoen, Tomasz
7 Woźniakowski, Henryk
6 Brüdern, Jörg
6 Dobrovol’skiĭ, Nikolai Nikolaevich
6 Fox, Jacob
6 Graham, Ronald Lewis
6 Jin, Renling
6 Markhasin, Lev
6 Niederreiter, Harald
6 Samotij, Wojciech
6 Tsang, Kai-Man
5 Brown, Thomas Craig
5 Chen, Yonggao
5 Coons, Michael
5 Croot, Ernie
5 Faure, Henri
5 Hančl, Jaroslav
5 Kohayakawa, Yoshiharu
5 Lee, Sangjune
5 Lefmann, Hanno
5 Matoušek, Jiří
5 Rebrova, Irina Yur’evna
5 Temlyakov, Vladimir Nikolaevich
5 Vaughan, Robert C.
4 Borda, Bence
4 Conlon, David
4 Cook, Roger J.
4 Doerr, Benjamin
4 Elsholtz, Christian
4 Filaseta, Michael A.
4 Kiss, Sándor Z.
4 Lacey, Michael T.
4 Lev, Vsevolod F.
4 Li, Hongze
4 Liu, Yu-Ru
4 Roth, Klaus Friedrich
4 Ruzsa, Imre Z.
4 Sándor, Csaba
4 Spencer, Craig V.
4 Srivastav, Anand
4 Tao, Terence
4 Tichy, Robert Franz
4 Wasilkowski, Grzegorz W.
3 Anishchenko, Vadim Semenovich
3 Balaba, Irina Nikolaevna
3 Banks, William D.
3 Berkes, István
3 Bollobás, Béla
3 Chen, William Wai Lim
3 Chubarikov, Vladimir Nikolaevich
3 Chung Graham, Fan-Rong King
3 Dodos, Pandelis
3 Drmota, Michael
3 Evertse, Jan-Hendrik
3 Fang, Jinhui
3 Gowers, William Timothy
3 Green, Ben Joseph
3 Helfgott, Harald Andrés
3 Hennecart, François
3 Hone, Andrew N. W.
3 Ingram, Patrick
3 Kumchev, Angel V.
3 Łaba, Izabella
3 Lang, Serge
3 Lin, Qizhong
3 Liu, Zhixin
3 Luca, Florian
3 Mkaouar, Mohamed
3 Moreira, Carlos Gustavo Tamm de Araujo
3 Nathanson, Melvyn Bernard
3 Nowak, Werner Georg
3 Odlyzko, Andrew M.
3 Ooto, Tomohiro
3 Plagne, Alain
3 Pomerance, Carl Bernard
3 Prendiville, Sean M.
3 Ren, Xiumin
3 Rivoal, Tanguy
3 Rolnick, David
3 Rué, Juanjo
3 Sanders, Tom
3 Schlickewei, Hans Peter
...and 742 more Authors
all top 5

Cited in 184 Serials

76 Journal of Number Theory
36 Monatshefte für Mathematik
29 Journal of Combinatorial Theory. Series A
26 Proceedings of the American Mathematical Society
24 European Journal of Combinatorics
23 Journal of Complexity
19 Transactions of the American Mathematical Society
18 Discrete Mathematics
18 Journal de Théorie des Nombres de Bordeaux
17 Mathematika
13 Bulletin of the American Mathematical Society. New Series
12 Acta Arithmetica
12 Archiv der Mathematik
12 The Ramanujan Journal
11 Israel Journal of Mathematics
11 Compositio Mathematica
11 Combinatorica
9 Inventiones Mathematicae
9 Mathematische Annalen
8 Theoretical Computer Science
8 Acta Mathematica Hungarica
7 Journal of Mathematical Analysis and Applications
7 Annales de l’Institut Fourier
7 Geometric and Functional Analysis. GAFA
7 Annals of Mathematics. Second Series
7 International Journal of Number Theory
7 Chebyshevskiĭ Sbornik
6 Journal d’Analyse Mathématique
6 Periodica Mathematica Hungarica
6 Mathematics of Computation
6 Acta Mathematica
6 Advances in Mathematics
6 Duke Mathematical Journal
6 Discrete & Computational Geometry
5 Acta Mathematica Academiae Scientiarum Hungaricae
5 Computers & Mathematics with Applications
5 Discrete Applied Mathematics
5 Mathematical Notes
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Manuscripta Mathematica
5 Combinatorics, Probability and Computing
5 The Journal of Fourier Analysis and Applications
5 Journal of Inequalities and Applications
5 Bulletin of the American Mathematical Society
4 Rocky Mountain Journal of Mathematics
4 Glasgow Mathematical Journal
4 Journal of Approximation Theory
4 Journal of Computer and System Sciences
4 Journal of Functional Analysis
4 Michigan Mathematical Journal
4 Proceedings of the Japan Academy. Series A
4 Graphs and Combinatorics
4 Journal of the American Mathematical Society
4 SIAM Journal on Discrete Mathematics
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 The Electronic Journal of Combinatorics
4 Journal of the European Mathematical Society (JEMS)
3 Analysis Mathematica
3 Bulletin of the Australian Mathematical Society
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Functiones et Approximatio. Commentarii Mathematici
3 Journal of Algebra
3 Journal für die Reine und Angewandte Mathematik
3 Journal of Soviet Mathematics
3 Mathematische Nachrichten
3 Mathematica Slovaca
3 Mathematische Zeitschrift
3 Numerische Mathematik
3 Random Structures & Algorithms
3 Aequationes Mathematicae
3 Linear Algebra and its Applications
2 Lithuanian Mathematical Journal
2 Chaos, Solitons and Fractals
2 Mathematics Magazine
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 BIT
2 Canadian Mathematical Bulletin
2 Computing
2 Publications Mathématiques
2 Journal of the London Mathematical Society. Second Series
2 Mathematics and Computers in Simulation
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Proceedings of the London Mathematical Society. Third Series
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 Topology and its Applications
2 Science in China. Series A
2 Computational Geometry
2 Designs, Codes and Cryptography
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Finite Fields and their Applications
2 Documenta Mathematica
2 Journal of Combinatorial Optimization
2 Acta Mathematica Sinica. English Series
2 Integers
2 Journal of the Australian Mathematical Society
2 Journal of the Indonesian Mathematical Society
2 Proceedings of the Japan Academy
...and 84 more Serials
all top 5

Cited in 48 Fields

597 Number theory (11-XX)
135 Combinatorics (05-XX)
57 Numerical analysis (65-XX)
53 Computer science (68-XX)
30 Harmonic analysis on Euclidean spaces (42-XX)
28 Probability theory and stochastic processes (60-XX)
25 Group theory and generalizations (20-XX)
24 Convex and discrete geometry (52-XX)
23 Approximations and expansions (41-XX)
20 Algebraic geometry (14-XX)
19 Measure and integration (28-XX)
15 Dynamical systems and ergodic theory (37-XX)
13 Mathematical logic and foundations (03-XX)
13 Functional analysis (46-XX)
11 Sequences, series, summability (40-XX)
10 Geometry (51-XX)
8 History and biography (01-XX)
7 Real functions (26-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Partial differential equations (35-XX)
6 Abstract harmonic analysis (43-XX)
6 Operator theory (47-XX)
6 General topology (54-XX)
5 General and overarching topics; collections (00-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Operations research, mathematical programming (90-XX)
4 Functions of a complex variable (30-XX)
4 Ordinary differential equations (34-XX)
4 Quantum theory (81-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Information and communication theory, circuits (94-XX)
3 Commutative algebra (13-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Systems theory; control (93-XX)
2 Field theory and polynomials (12-XX)
2 Integral transforms, operational calculus (44-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistics (62-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year

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