Edit Profile (opens in new tab) Roth, Klaus Friedrich Compute Distance To: Compute Author ID: roth.klaus-f Published as: Roth, Klaus F.; Roth, K. F. Further Spellings: Рот К Ф External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: Fields Medal (1958) Documents Indexed: 42 Publications since 1947, including 4 Books 1 Further Contribution Biographic References: 3 Publications Co-Authors: 5 Co-Authors with 9 Joint Publications 115 Co-Co-Authors all top 5 Co-Authors 33 single-authored 3 Halberstam, Heini 2 Davenport, Harold 2 Vaughan, Robert C. 1 Bambah, R. P. 1 Davenport, Anne 1 Szekeres, George 1 Vinogradov, Ivan Matveevich all top 5 Serials 7 Journal of the London Mathematical Society 5 Mathematika 4 Acta Arithmetica 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 Proceedings of the London Mathematical Society. Second Series 1 Communications on Pure and Applied Mathematics 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Number Theory 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris Fields 23 Number theory (11-XX) 4 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 1,042 times in 880 Documents Cited by ▼ Year ▼ Rational approximations to algebraic numbers. Zbl 0064.28501Roth, Klaus F. 202 1955 On certain sets of integers. Zbl 0050.04002Roth, Klaus F. 176 1953 On irregularities of distribution. Zbl 0057.28604Roth, Klaus F. 160 1954 Sequences. Vol. I. Zbl 0141.04405Halberstam, H.; Roth, Klaus F. 64 1966 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 1093.11001Vinogradov, I. M. 49 2004 Sequences. (Reprint). Zbl 0498.10001Halberstam, H.; Roth, Klaus F. 45 1983 Rational approximations to algebraic numbers. Zbl 0066.29302Davenport, Harold; Roth, Klaus F. 39 1955 Remark concerning integer sequences. Zbl 0125.29601Roth, Klaus F. 36 1964 On irregularities of distribution. IV. Zbl 0425.10057Roth, Klaus F. 35 1980 Some asymptotic formulae in the theory of partitions. Zbl 0057.03902Roth, Klaus F.; Szekeres, George 34 1954 Sur quelques ensembles d’entiers. Zbl 0046.04302Roth, Klaus F. 33 1952 On a problem of Heilbronn. Zbl 0043.16303Roth, Klaus F. 29 1951 The solubility of certain Diophantine inequalities. Zbl 0066.29301Davenport, Harold; Roth, Klaus F. 22 1955 On Waring’s problem for cubes. Zbl 0043.27303Roth, K. F. 14 1951 On certain sets of integers. II. Zbl 0055.27201Roth, Klaus F. 14 1954 On a problem of Heilbronn. II. Zbl 0248.52013Roth, Klaus F. 12 1972 On a problem of Heilbronn. III. Zbl 0253.52001Roth, Klaus F. 12 1972 A problem in additiv number theory. Zbl 0044.03601Roth, Klaus F. 12 1951 Developments in Heilbronn’s triangle problem. Zbl 0338.52005Roth, Klaus F. 11 1976 On the gaps between squarefree numbers. Zbl 0043.04802Roth, Klaus F. 10 1951 On the large sieves of Linnik and Renyi. Zbl 0137.25904Roth, Klaus F. 9 1965 On the gaps between consecutive \(k\)-free integers. Zbl 0043.04901Halberstam, H.; Roth, Klaus F. 9 1951 On irregularities of distribution. III. Zbl 0425.10056Roth, Klaus F. 8 1979 Proof that almost all positive integers are sums of a square, a positive cube and a fourth power. Zbl 0032.01401Roth, Klaus F. 8 1949 On irregularities of distribution. II. Zbl 0327.60019Roth, Klaus F. 7 1976 Corrigendum: Rational approximations to algebraic numbers. Zbl 0066.29303Roth, K. F. 7 1955 Irregularities of sequences relative to arithmetic progressions. IV. Zbl 0252.10051Roth, Klaus F. 5 1972 On a theorem of Beck. Zbl 0584.10035Roth, Klaus F. 4 1985 Irregularities of sequences relative to arithmetic progressions. Zbl 0151.03604Roth, Klaus F. 4 1967 Irregularities of sequences relative to arithmetic progressions. II. Zbl 0166.05005Roth, Klaus F. 4 1967 A theorem involving squarefree numbers. Zbl 0030.01504Roth, Klaus F. 4 1947 Irregularities of sequences relative to arithmetic progressions. III. Zbl 0208.06001Roth, Klaus F. 3 1970 On cosine polynomials corresponding to sets of integers. Zbl 0261.10026Roth, Klaus F. 3 1973 Inefficiency in packing squares with unit squares. Zbl 0373.05026Roth, Klaus F.; Vaughan, R. C. 3 1978 Limitations to regularity. Zbl 0954.11027Roth, K. F. 1 2000 The large sieve. Zbl 0169.37503Roth, Klaus F. 1 1968 A note on lattice coverings. Zbl 0046.27702Bambah, R. P.; Roth, Klaus F. 1 1952 Obituary: Theodor Estermann. Zbl 0820.01015Roth, Klaus F.; Vaughan, R. C. 1 1994 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 1093.11001Vinogradov, I. M. 49 2004 Limitations to regularity. Zbl 0954.11027Roth, K. F. 1 2000 Obituary: Theodor Estermann. Zbl 0820.01015Roth, Klaus F.; Vaughan, R. C. 1 1994 On a theorem of Beck. Zbl 0584.10035Roth, Klaus F. 4 1985 Sequences. (Reprint). Zbl 0498.10001Halberstam, H.; Roth, Klaus F. 45 1983 On irregularities of distribution. IV. Zbl 0425.10057Roth, Klaus F. 35 1980 On irregularities of distribution. III. Zbl 0425.10056Roth, Klaus F. 8 1979 Inefficiency in packing squares with unit squares. Zbl 0373.05026Roth, Klaus F.; Vaughan, R. C. 3 1978 Developments in Heilbronn’s triangle problem. Zbl 0338.52005Roth, Klaus F. 11 1976 On irregularities of distribution. II. Zbl 0327.60019Roth, Klaus F. 7 1976 On cosine polynomials corresponding to sets of integers. Zbl 0261.10026Roth, Klaus F. 3 1973 On a problem of Heilbronn. II. Zbl 0248.52013Roth, Klaus F. 12 1972 On a problem of Heilbronn. III. Zbl 0253.52001Roth, Klaus F. 12 1972 Irregularities of sequences relative to arithmetic progressions. IV. Zbl 0252.10051Roth, Klaus F. 5 1972 Irregularities of sequences relative to arithmetic progressions. III. Zbl 0208.06001Roth, Klaus F. 3 1970 The large sieve. Zbl 0169.37503Roth, Klaus F. 1 1968 Irregularities of sequences relative to arithmetic progressions. Zbl 0151.03604Roth, Klaus F. 4 1967 Irregularities of sequences relative to arithmetic progressions. II. Zbl 0166.05005Roth, Klaus F. 4 1967 Sequences. Vol. I. Zbl 0141.04405Halberstam, H.; Roth, Klaus F. 64 1966 On the large sieves of Linnik and Renyi. Zbl 0137.25904Roth, Klaus F. 9 1965 Remark concerning integer sequences. Zbl 0125.29601Roth, Klaus F. 36 1964 Rational approximations to algebraic numbers. Zbl 0064.28501Roth, Klaus F. 202 1955 Rational approximations to algebraic numbers. Zbl 0066.29302Davenport, Harold; Roth, Klaus F. 39 1955 The solubility of certain Diophantine inequalities. Zbl 0066.29301Davenport, Harold; Roth, Klaus F. 22 1955 Corrigendum: Rational approximations to algebraic numbers. Zbl 0066.29303Roth, K. F. 7 1955 On irregularities of distribution. Zbl 0057.28604Roth, Klaus F. 160 1954 Some asymptotic formulae in the theory of partitions. Zbl 0057.03902Roth, Klaus F.; Szekeres, George 34 1954 On certain sets of integers. II. Zbl 0055.27201Roth, Klaus F. 14 1954 On certain sets of integers. Zbl 0050.04002Roth, Klaus F. 176 1953 Sur quelques ensembles d’entiers. Zbl 0046.04302Roth, Klaus F. 33 1952 A note on lattice coverings. Zbl 0046.27702Bambah, R. P.; Roth, Klaus F. 1 1952 On a problem of Heilbronn. Zbl 0043.16303Roth, Klaus F. 29 1951 On Waring’s problem for cubes. Zbl 0043.27303Roth, K. F. 14 1951 A problem in additiv number theory. Zbl 0044.03601Roth, Klaus F. 12 1951 On the gaps between squarefree numbers. Zbl 0043.04802Roth, Klaus F. 10 1951 On the gaps between consecutive \(k\)-free integers. Zbl 0043.04901Halberstam, 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 0032.01401Roth, Klaus F. 8 1949 A theorem involving squarefree numbers. Zbl 0030.01504Roth, Klaus F. 4 1947 all cited Publications top 5 cited Publications all top 5 Cited by 940 Authors 25 Pillichshammer, Friedrich 14 Erdős, Pál 14 Schmidt, Wolfgang M. 13 Bugeaud, Yann 12 Beck, József 12 Sárközy, András 9 Kritzinger, Ralph 8 Bilyk, Dmitry 8 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 8 Hinrichs, Aicke 8 Rodl, Vojtech 8 Szemerédi, Endre 7 Adamczewski, Boris 7 Dick, Josef 7 Fox, Jacob 7 Hebbinghaus, Nils 7 Kritzer, Peter 7 Larcher, Gerhard 7 Richmond, L. Bruce 7 Schoen, Tomasz 7 Woźniakowski, Henryk 6 Brüdern, Jörg 6 Dobrovol’skiĭ, Nikolai Nikolaevich 6 Graham, Ronald Lewis 6 Jin, Renling 6 Lee, Sangjune 6 Markhasin, Lev 6 Niederreiter, Harald 6 Samotij, Wojciech 6 Sándor, Csaba 6 Temlyakov, Vladimir Nikolaevich 6 Tsang, Kai-Man 5 Brown, Thomas Craig 5 Chen, Yonggao 5 Conlon, David 5 Coons, Michael 5 Croot, Ernie 5 Faure, Henri 5 Hančl, Jaroslav 5 Kiss, Sándor Z. 5 Kohayakawa, Yoshiharu 5 Lefmann, Hanno 5 Matoušek, Jiří 5 Rebrova, Irina Yur’evna 5 Vaughan, Robert C. 4 Borda, Bence 4 Cook, Roger J. 4 Doerr, Benjamin 4 Durcik, Polona 4 Elsholtz, Christian 4 Filaseta, Michael A. 4 Lacey, Michael T. 4 Lev, Vsevolod F. 4 Li, Hongze 4 Liu, Yu-Ru 4 Nathanson, Melvyn Bernard 4 Roth, Klaus Friedrich 4 Rué, Juanjo 4 Ruzsa, Imre Z. 4 Shallit, Jeffrey O. 4 Spencer, Craig V. 4 Srivastav, Anand 4 Tao, Terence 4 Tichy, Robert Franz 4 Wasilkowski, Grzegorz W. 4 Zhao, Lilu 3 Anishchenko, Vadim Semenovich 3 Ayadi, Khalil 3 Balaba, Irina Nikolaevna 3 Banks, William David 3 Bergelson, Vitaly 3 Berkes, István 3 Bollobás, Béla 3 Chen, William Wai Lim 3 Chubarikov, Vladimir Nikolaevich 3 Chung, Fan 3 Dodos, Pandelis 3 Drmota, Michael 3 Evertse, Jan-Hendrik 3 Fang, Jinhui 3 Gowers, William Timothy 3 Green, Ben Joseph 3 Grynkiewicz, David J. 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 Nowak, Werner Georg 3 Odlyzko, Andrew M. 3 Ooto, Tomohiro 3 Pach, János 3 Plagne, Alain ...and 840 more Authors all top 5 Cited in 201 Serials 77 Journal of Number Theory 36 Monatshefte für Mathematik 30 Journal of Combinatorial Theory. Series A 26 Proceedings of the American Mathematical Society 26 European Journal of Combinatorics 24 Journal of Complexity 21 Transactions of the American Mathematical Society 19 Discrete Mathematics 18 Journal de Théorie des Nombres de Bordeaux 17 Mathematika 14 Acta Arithmetica 14 Bulletin of the American Mathematical Society. New Series 13 Archiv der Mathematik 13 The Ramanujan Journal 12 Israel Journal of Mathematics 12 Compositio Mathematica 11 Combinatorica 10 Advances in Mathematics 10 Acta Mathematica Hungarica 9 Inventiones Mathematicae 9 Mathematische Annalen 8 Theoretical Computer Science 8 The Electronic Journal of Combinatorics 7 Journal of Mathematical Analysis and Applications 7 Rocky Mountain Journal of Mathematics 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 Discrete Applied Mathematics 6 Journal d’Analyse Mathématique 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Periodica Mathematica Hungarica 6 Mathematics of Computation 6 Acta Mathematica 6 Duke Mathematical Journal 6 Discrete & Computational Geometry 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Computers & Mathematics with Applications 5 Mathematical Notes 5 Journal für die Reine und Angewandte Mathematik 5 Manuscripta Mathematica 5 Graphs and Combinatorics 5 Linear Algebra and its Applications 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 American Mathematical Monthly 4 Bulletin of the Australian Mathematical Society 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 Journal of the American Mathematical Society 4 SIAM Journal on Discrete Mathematics 4 Journal of the European Mathematical Society (JEMS) 3 Analysis Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Bulletin de la Société Mathématique de France 3 Canadian Mathematical Bulletin 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Algebra 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 Expositiones Mathematicae 3 Experimental Mathematics 3 Algebra & Number Theory 3 Forum of Mathematics, Sigma 2 Indian Journal of Pure & Applied Mathematics 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 Computing 2 Publications Mathématiques 2 Journal of Combinatorial Theory. Series B 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 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Turkish Journal of Mathematics ...and 101 more Serials all top 5 Cited in 50 Fields 657 Number theory (11-XX) 161 Combinatorics (05-XX) 59 Numerical analysis (65-XX) 58 Computer science (68-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 31 Probability theory and stochastic processes (60-XX) 25 Group theory and generalizations (20-XX) 25 Convex and discrete geometry (52-XX) 24 Algebraic geometry (14-XX) 24 Approximations and expansions (41-XX) 22 Measure and integration (28-XX) 19 Dynamical systems and ergodic theory (37-XX) 14 Mathematical logic and foundations (03-XX) 13 Functional analysis (46-XX) 11 Sequences, series, summability (40-XX) 11 Geometry (51-XX) 9 History and biography (01-XX) 9 Partial differential equations (35-XX) 7 Real functions (26-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Abstract harmonic analysis (43-XX) 6 Operator theory (47-XX) 6 General topology (54-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 5 Information and communication theory, circuits (94-XX) 4 Commutative algebra (13-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) 3 Field theory and polynomials (12-XX) 3 Integral transforms, operational calculus (44-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Systems theory; control (93-XX) 2 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-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 deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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