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Roth, Klaus Friedrich (b. 1925 d. 2015)

Author ID: roth.klaus-f Recent zbMATH articles by "Roth, Klaus Friedrich"
Published as: Roth, Klaus F.; Roth, K. F.
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Fields Medal (1958)
Documents Indexed: 42 Publications since 1947, including 4 Books
2 Further Contributions
Biographic References: 4 Publications
Co-Authors: 5 Co-Authors with 9 Joint Publications
126 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 1,273 times in 1,057 Documents Cited by Year
Rational approximations to algebraic numbers. Zbl 0064.28501
Roth, Klaus F.
233
1955
On certain sets of integers. Zbl 0050.04002
Roth, Klaus F.
202
1953
On irregularities of distribution. Zbl 0057.28604
Roth, Klaus F.
182
1954
Sequences. Vol. I. Zbl 0141.04405
Halberstam, H.; Roth, Klaus F.
99
1966
The method of trigonometrical sums in the theory of numbers. Translated, revised and annotated by K. F. Roth and Anne Davenport. Zbl 0055.27504
Vinogradov, I. M.
91
1954
Sequences. (Reprint). Zbl 0498.10001
Halberstam, H.; Roth, Klaus F.
83
1983
The method of trigonometrical sums in the theory of numbers. Translated from the Russian, revised and annotated by K. F. Roth and Anne Davenport. Reprint of the 1954 translation. Zbl 1093.11001
Vinogradov, I. M.
61
2004
On irregularities of distribution. IV. Zbl 0425.10057
Roth, Klaus F.
41
1980
Rational approximations to algebraic numbers. Zbl 0066.29302
Davenport, Harold; Roth, Klaus F.
41
1955
Some asymptotic formulae in the theory of partitions. Zbl 0057.03902
Roth, Klaus F.; Szekeres, George
40
1954
Remark concerning integer sequences. Zbl 0125.29601
Roth, Klaus F.
38
1964
On a problem of Heilbronn. Zbl 0043.16303
Roth, Klaus F.
38
1951
Sur quelques ensembles d’entiers. Zbl 0046.04302
Roth, Klaus F.
37
1952
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.
21
1954
A problem in additiv number theory. Zbl 0044.03601
Roth, Klaus F.
16
1951
Corrigendum: Rational approximations to algebraic numbers. Zbl 0066.29303
Roth, K. F.
16
1955
On a problem of Heilbronn. II. Zbl 0248.52013
Roth, Klaus F.
15
1972
On Waring’s problem for cubes. Zbl 0043.27303
Roth, K. F.
15
1951
On a problem of Heilbronn. III. Zbl 0253.52001
Roth, Klaus F.
14
1972
Developments in Heilbronn’s triangle problem. Zbl 0338.52005
Roth, Klaus F.
13
1976
On irregularities of distribution. III. Zbl 0425.10056
Roth, Klaus F.
12
1979
On the gaps between squarefree numbers. Zbl 0043.04802
Roth, Klaus F.
11
1951
On the large sieves of Linnik and Renyi. Zbl 0137.25904
Roth, Klaus F.
11
1965
On the gaps between consecutive \(k\)-free integers. Zbl 0043.04901
Halberstam, H.; Roth, Klaus F.
10
1951
Estimation of the area of the smallest triangle obtained by selecting three out of \(n\) points in a disc of unit area. Zbl 0264.52008
Roth, Klaus F.
9
1973
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
Irregularities of sequences relative to arithmetic progressions. IV. Zbl 0252.10051
Roth, Klaus F.
7
1972
On irregularities of distribution. II. Zbl 0327.60019
Roth, Klaus F.
7
1976
Irregularities of sequences relative to arithmetic progressions. Zbl 0151.03604
Roth, Klaus F.
5
1967
Irregularities of sequences relative to arithmetic progressions. II. Zbl 0166.05005
Roth, Klaus F.
5
1967
On a theorem of Beck. Zbl 0584.10035
Roth, Klaus F.
4
1985
A theorem involving squarefree numbers. Zbl 0030.01504
Roth, Klaus F.
4
1947
On cosine polynomials corresponding to sets of integers. Zbl 0261.10026
Roth, Klaus F.
3
1973
Irregularities of sequences relative to arithmetic progressions. III. Zbl 0208.06001
Roth, Klaus F.
3
1970
Inefficiency in packing squares with unit squares. Zbl 0373.05026
Roth, Klaus F.; Vaughan, R. C.
3
1978
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
The large sieve. Zbl 0169.37503
Roth, Klaus F.
1
1968
A note on lattice coverings. Zbl 0046.27702
Bambah, R. P.; Roth, Klaus F.
1
1952
Rational approximations to algebraic numbers. Zbl 0119.28103
Roth, Klaus F.
1
1960
The method of trigonometrical sums in the theory of numbers. Translated from the Russian, revised and annotated by K. F. Roth and Anne Davenport. Reprint of the 1954 translation. Zbl 1093.11001
Vinogradov, I. M.
61
2004
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.
83
1983
On irregularities of distribution. IV. Zbl 0425.10057
Roth, Klaus F.
41
1980
On irregularities of distribution. III. Zbl 0425.10056
Roth, Klaus F.
12
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.
13
1976
On irregularities of distribution. II. Zbl 0327.60019
Roth, Klaus F.
7
1976
Estimation of the area of the smallest triangle obtained by selecting three out of \(n\) points in a disc of unit area. Zbl 0264.52008
Roth, Klaus F.
9
1973
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.
15
1972
On a problem of Heilbronn. III. Zbl 0253.52001
Roth, Klaus F.
14
1972
Irregularities of sequences relative to arithmetic progressions. IV. Zbl 0252.10051
Roth, Klaus F.
7
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.
5
1967
Irregularities of sequences relative to arithmetic progressions. II. Zbl 0166.05005
Roth, Klaus F.
5
1967
Sequences. Vol. I. Zbl 0141.04405
Halberstam, H.; Roth, Klaus F.
99
1966
On the large sieves of Linnik and Renyi. Zbl 0137.25904
Roth, Klaus F.
11
1965
Remark concerning integer sequences. Zbl 0125.29601
Roth, Klaus F.
38
1964
Rational approximations to algebraic numbers. Zbl 0119.28103
Roth, Klaus F.
1
1960
Rational approximations to algebraic numbers. Zbl 0064.28501
Roth, Klaus F.
233
1955
Rational approximations to algebraic numbers. Zbl 0066.29302
Davenport, Harold; Roth, Klaus F.
41
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.
16
1955
On irregularities of distribution. Zbl 0057.28604
Roth, Klaus F.
182
1954
The method of trigonometrical sums in the theory of numbers. Translated, revised and annotated by K. F. Roth and Anne Davenport. Zbl 0055.27504
Vinogradov, I. M.
91
1954
Some asymptotic formulae in the theory of partitions. Zbl 0057.03902
Roth, Klaus F.; Szekeres, George
40
1954
On certain sets of integers. II. Zbl 0055.27201
Roth, Klaus F.
21
1954
On certain sets of integers. Zbl 0050.04002
Roth, Klaus F.
202
1953
Sur quelques ensembles d’entiers. Zbl 0046.04302
Roth, Klaus F.
37
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.
38
1951
A problem in additiv number theory. Zbl 0044.03601
Roth, Klaus F.
16
1951
On Waring’s problem for cubes. Zbl 0043.27303
Roth, K. F.
15
1951
On the gaps between squarefree numbers. Zbl 0043.04802
Roth, Klaus F.
11
1951
On the gaps between consecutive \(k\)-free integers. Zbl 0043.04901
Halberstam, H.; Roth, Klaus F.
10
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.
4
1947
all top 5

Cited by 1,135 Authors

30 Pillichshammer, Friedrich
20 Erdős, Pál
15 Sárközy, András
14 Schmidt, Wolfgang M.
13 Bugeaud, Yann
13 Fox, Jacob
12 Beck, József
10 Kritzinger, Ralph
9 Dick, Josef
9 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich
9 Rodl, Vojtech
8 Adamczewski, Boris
8 Bilyk, Dmitry
8 Conlon, David
8 Hinrichs, Aicke
8 Richmond, L. Bruce
8 Szemerédi, Endre
7 Brüdern, Jörg
7 Dobrovol’skiĭ, Nikolai Nikolaevich
7 Hebbinghaus, Nils
7 Jin, Renling
7 Kritzer, Peter
7 Larchner, Gerhard
7 Lee, Sangjune
7 Lefmann, Hanno
7 Ruzsa, Imre Z.
7 Samotij, Wojciech
7 Sándor, Csaba
7 Schoen, Tomasz
7 Woźniakowski, Henryk
6 Chen, Yonggao
6 Graham, Ronald Lewis
6 Hennecart, François
6 Kiss, Sándor Z.
6 Kohayakawa, Yoshiharu
6 Markhasin, Lev
6 Nathanson, Melvyn Bernard
6 Niederreiter, Harald
6 Prendiville, Sean M.
6 Temlyakov, Vladimir Nikolaevich
6 Tsang, Kai-Man
6 Vaughan, Robert C.
6 Zhao, Lilu
5 Brown, Thomas Craig
5 Chen, William Wai Lim
5 Coons, Michael
5 Croot, Ernie
5 Elsholtz, Christian
5 Faure, Henri
5 Hančl, Jaroslav
5 Matoušek, Jiří
5 Plagne, Alain
5 Pramanik, Malabika
5 Rebrova, Irina Yur’evna
5 Shapira, Asaf
5 Sisask, Olof
5 Steinerberger, Stefan
5 Sudakov, Benny
5 Wooley, Trevor D.
4 Ahlswede, Rudolf
4 Ayadi, Khalil
4 Banks, William David
4 Borda, Bence
4 Cook, Roger J.
4 Doerr, Benjamin
4 Durcik, Polona
4 Filaseta, Michael A.
4 Göral, Haydar
4 Grekos, Georges
4 Kumchev, Angel V.
4 Lacey, Michael T.
4 Lev, Vsevolod F.
4 Li, Hongze
4 Liu, Yu-Ru
4 Ren, Xiumin
4 Roth, Klaus Friedrich
4 Rué, Juanjo
4 Schlickewei, Hans Peter
4 Shallit, Jeffrey Outlaw
4 Spencer, Craig V.
4 Srivastav, Anand
4 Tao, Terence
4 Tenenbaum, Gérald
4 Tichy, Robert Franz
4 Varona Malumbres, Juan Luis
4 Wasilkowski, Grzegorz W.
3 Anishchenko, Vadim Semenovich
3 Balaba, Irina Nikolaevna
3 Bergelson, Vitaly
3 Berkes, István
3 Bloom, Thomas F.
3 Bollobás, Béla
3 Çelik, Şermin Çam
3 Chubarikov, Vladimir Nikolaevich
3 Chung, Fan
3 Cilleruelo, Javier
3 Dellamonica, Domingos jun.
3 Dodos, Pandelis
3 Drmota, Michael
3 Evertse, Jan-Hendrik
...and 1,035 more Authors
all top 5

Cited in 228 Serials

107 Journal of Number Theory
37 Monatshefte für Mathematik
33 Journal of Combinatorial Theory. Series A
27 European Journal of Combinatorics
27 Journal of Complexity
26 Proceedings of the American Mathematical Society
23 Mathematika
22 Discrete Mathematics
22 Transactions of the American Mathematical Society
20 Journal de Théorie des Nombres de Bordeaux
17 Acta Arithmetica
16 Israel Journal of Mathematics
15 Bulletin of the American Mathematical Society. New Series
15 The Ramanujan Journal
14 Archiv der Mathematik
13 Compositio Mathematica
13 Acta Mathematica Hungarica
12 Journal of Mathematical Analysis and Applications
12 Combinatorica
12 International Journal of Number Theory
11 Advances in Mathematics
10 The Electronic Journal of Combinatorics
9 Inventiones Mathematicae
9 Mathematische Annalen
9 Theoretical Computer Science
8 Periodica Mathematica Hungarica
8 Rocky Mountain Journal of Mathematics
8 Bulletin of the London Mathematical Society
7 Annales de l’Institut Fourier
7 Random Structures & Algorithms
7 Geometric and Functional Analysis. GAFA
7 Annals of Mathematics. Second Series
7 Chebyshevskiĭ Sbornik
6 Computers & Mathematics with Applications
6 Discrete Applied Mathematics
6 Journal d’Analyse Mathématique
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Mathematics of Computation
6 Acta Mathematica
6 Duke Mathematical Journal
6 Proceedings of the London Mathematical Society. Third Series
6 Discrete & Computational Geometry
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Combinatorics, Probability and Computing
5 Acta Mathematica Academiae Scientiarum Hungaricae
5 Mathematical Notes
5 Journal of Functional Analysis
5 Journal für die Reine und Angewandte Mathematik
5 Manuscripta Mathematica
5 Michigan Mathematical Journal
5 Graphs and Combinatorics
5 SIAM Journal on Discrete Mathematics
5 Linear Algebra and its Applications
5 The Journal of Fourier Analysis and Applications
5 Journal of Inequalities and Applications
5 Journal of the European Mathematical Society (JEMS)
5 Bulletin of the American Mathematical Society
4 American Mathematical Monthly
4 Bulletin of the Australian Mathematical Society
4 Bulletin de la Société Mathématique de France
4 Canadian Mathematical Bulletin
4 Glasgow Mathematical Journal
4 Journal of Approximation Theory
4 Journal of Computer and System Sciences
4 Journal of the London Mathematical Society. Second Series
4 Mathematics and Computers in Simulation
4 Mathematica Slovaca
4 Mathematische Zeitschrift
4 Proceedings of the Japan Academy. Series A
4 Journal of the American Mathematical Society
4 Computational Geometry
4 Aequationes Mathematicae
4 Indagationes Mathematicae. New Series
4 Integers
4 Discrete Analysis
3 Analysis Mathematica
3 Lithuanian Mathematical Journal
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Functiones et Approximatio. Commentarii Mathematici
3 Journal of Algebra
3 Journal of Soviet Mathematics
3 Mathematische Nachrichten
3 Numerische Mathematik
3 Designs, Codes and Cryptography
3 Expositiones Mathematicae
3 Experimental Mathematics
3 Finite Fields and their Applications
3 Journal of Combinatorial Optimization
3 Algebra & Number Theory
3 Forum of Mathematics, Sigma
2 Indian Journal of Pure & Applied Mathematics
2 Chaos, Solitons and Fractals
2 Mathematics Magazine
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
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 Computing
2 Czechoslovak Mathematical Journal
2 Publications Mathématiques
...and 128 more Serials
all top 5

Cited in 52 Fields

798 Number theory (11-XX)
195 Combinatorics (05-XX)
71 Computer science (68-XX)
68 Numerical analysis (65-XX)
44 Harmonic analysis on Euclidean spaces (42-XX)
37 Probability theory and stochastic processes (60-XX)
30 Group theory and generalizations (20-XX)
29 Convex and discrete geometry (52-XX)
25 Algebraic geometry (14-XX)
25 Measure and integration (28-XX)
25 Approximations and expansions (41-XX)
23 Dynamical systems and ergodic theory (37-XX)
16 Mathematical logic and foundations (03-XX)
14 Partial differential equations (35-XX)
14 Geometry (51-XX)
13 Functional analysis (46-XX)
12 Sequences, series, summability (40-XX)
11 History and biography (01-XX)
8 Real functions (26-XX)
8 Functions of a complex variable (30-XX)
8 Operator theory (47-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Operations research, mathematical programming (90-XX)
6 General and overarching topics; collections (00-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Abstract harmonic analysis (43-XX)
6 General topology (54-XX)
6 Information and communication theory, circuits (94-XX)
5 Field theory and polynomials (12-XX)
5 Ordinary differential equations (34-XX)
5 Quantum theory (81-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Commutative algebra (13-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Systems theory; control (93-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistics (62-XX)
3 Mechanics of deformable solids (74-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Special functions (33-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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