Edit Profile (opens in new tab) Roth, Klaus Friedrich (b. 1925 d. 2015) Co-Author Distance 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 2 Further Contributions Biographic References: 4 Publications Co-Authors: 5 Co-Authors with 9 Joint Publications 126 Co-Co-Authors all top 5 Co-Authors 33 single-authored 3 Halberstam, Heini 2 Davenport, Anne 2 Davenport, Harold 2 Vaughan, Robert C. 2 Vinogradov, Ivan Matveevich 1 Bambah, R. P. 1 Szekeres, George 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 25 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 40 Publications have been cited 1,144 times in 956 Documents Cited by ▼ Year ▼ Rational approximations to algebraic numbers. Zbl 0064.28501Roth, Klaus F. 219 1955 On certain sets of integers. Zbl 0050.04002Roth, Klaus F. 190 1953 On irregularities of distribution. Zbl 0057.28604Roth, Klaus F. 171 1954 The method of trigonometrical sums in the theory of numbers. Translated, revised and annotated by K. F. Roth and Anne Davenport. Zbl 0055.27504Vinogradov, I. M. 77 1954 Sequences. Vol. I. Zbl 0141.04405Halberstam, H.; Roth, Klaus F. 76 1966 Sequences. (Reprint). Zbl 0498.10001Halberstam, H.; Roth, Klaus F. 54 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 1093.11001Vinogradov, I. M. 50 2004 Rational approximations to algebraic numbers. Zbl 0066.29302Davenport, Harold; Roth, Klaus F. 41 1955 On irregularities of distribution. IV. Zbl 0425.10057Roth, Klaus F. 39 1980 Some asymptotic formulae in the theory of partitions. Zbl 0057.03902Roth, Klaus F.; Szekeres, George 36 1954 Remark concerning integer sequences. Zbl 0125.29601Roth, Klaus F. 36 1964 Sur quelques ensembles d’entiers. Zbl 0046.04302Roth, Klaus F. 35 1952 On a problem of Heilbronn. Zbl 0043.16303Roth, Klaus F. 33 1951 The solubility of certain Diophantine inequalities. Zbl 0066.29301Davenport, Harold; Roth, Klaus F. 22 1955 On certain sets of integers. II. Zbl 0055.27201Roth, Klaus F. 18 1954 On Waring’s problem for cubes. Zbl 0043.27303Roth, K. F. 14 1951 A problem in additiv number theory. Zbl 0044.03601Roth, Klaus F. 14 1951 On a problem of Heilbronn. II. Zbl 0248.52013Roth, Klaus F. 13 1972 Developments in Heilbronn’s triangle problem. Zbl 0338.52005Roth, Klaus F. 12 1976 On a problem of Heilbronn. III. Zbl 0253.52001Roth, Klaus F. 12 1972 On irregularities of distribution. III. Zbl 0425.10056Roth, Klaus F. 12 1979 Corrigendum: Rational approximations to algebraic numbers. Zbl 0066.29303Roth, K. F. 12 1955 On the gaps between squarefree numbers. Zbl 0043.04802Roth, Klaus F. 11 1951 On the large sieves of Linnik and Renyi. Zbl 0137.25904Roth, Klaus F. 11 1965 On the gaps between consecutive \(k\)-free integers. Zbl 0043.04901Halberstam, 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 0032.01401Roth, Klaus F. 8 1949 On irregularities of distribution. II. Zbl 0327.60019Roth, Klaus F. 7 1976 Irregularities of sequences relative to arithmetic progressions. IV. Zbl 0252.10051Roth, Klaus F. 6 1972 Irregularities of sequences relative to arithmetic progressions. Zbl 0151.03604Roth, Klaus F. 5 1967 Irregularities of sequences relative to arithmetic progressions. II. Zbl 0166.05005Roth, Klaus F. 5 1967 On a theorem of Beck. Zbl 0584.10035Roth, Klaus F. 4 1985 A theorem involving squarefree numbers. Zbl 0030.01504Roth, Klaus F. 4 1947 On cosine polynomials corresponding to sets of integers. Zbl 0261.10026Roth, Klaus F. 3 1973 Irregularities of sequences relative to arithmetic progressions. III. Zbl 0208.06001Roth, Klaus F. 3 1970 Inefficiency in packing squares with unit squares. Zbl 0373.05026Roth, Klaus F.; Vaughan, R. C. 3 1978 Obituary: Theodor Estermann. Zbl 0820.01015Roth, Klaus F.; Vaughan, R. C. 1 1994 Limitations to regularity. Zbl 0954.11027Roth, K. F. 1 2000 A note on lattice coverings. Zbl 0046.27702Bambah, R. P.; Roth, Klaus F. 1 1952 Rational approximations to algebraic numbers. Zbl 0119.28103Roth, Klaus F. 1 1960 The large sieve. Zbl 0169.37503Roth, Klaus F. 1 1968 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. 50 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. 54 1983 On irregularities of distribution. IV. Zbl 0425.10057Roth, Klaus F. 39 1980 On irregularities of distribution. III. Zbl 0425.10056Roth, Klaus F. 12 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. 12 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. 13 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. 6 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. 5 1967 Irregularities of sequences relative to arithmetic progressions. II. Zbl 0166.05005Roth, Klaus F. 5 1967 Sequences. Vol. I. Zbl 0141.04405Halberstam, H.; Roth, Klaus F. 76 1966 On the large sieves of Linnik and Renyi. Zbl 0137.25904Roth, Klaus F. 11 1965 Remark concerning integer sequences. Zbl 0125.29601Roth, Klaus F. 36 1964 Rational approximations to algebraic numbers. Zbl 0119.28103Roth, Klaus F. 1 1960 Rational approximations to algebraic numbers. Zbl 0064.28501Roth, Klaus F. 219 1955 Rational approximations to algebraic numbers. Zbl 0066.29302Davenport, Harold; Roth, Klaus F. 41 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. 12 1955 On irregularities of distribution. Zbl 0057.28604Roth, Klaus F. 171 1954 The method of trigonometrical sums in the theory of numbers. Translated, revised and annotated by K. F. Roth and Anne Davenport. Zbl 0055.27504Vinogradov, I. M. 77 1954 Some asymptotic formulae in the theory of partitions. Zbl 0057.03902Roth, Klaus F.; Szekeres, George 36 1954 On certain sets of integers. II. Zbl 0055.27201Roth, Klaus F. 18 1954 On certain sets of integers. Zbl 0050.04002Roth, Klaus F. 190 1953 Sur quelques ensembles d’entiers. Zbl 0046.04302Roth, Klaus F. 35 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. 33 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. 14 1951 On the gaps between squarefree numbers. Zbl 0043.04802Roth, Klaus F. 11 1951 On the gaps between consecutive \(k\)-free integers. Zbl 0043.04901Halberstam, 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 0032.01401Roth, 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 1,029 Authors 28 Pillichshammer, Friedrich 16 Erdős, Pál 14 Schmidt, Wolfgang M. 13 Bugeaud, Yann 13 Sárközy, András 12 Beck, József 10 Kritzinger, Ralph 9 Dick, Josef 9 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 9 Fox, Jacob 8 Bilyk, Dmitry 8 Hinrichs, Aicke 8 Rodl, Vojtech 8 Szemerédi, Endre 7 Adamczewski, Boris 7 Dobrovol’skiĭ, Nikolai Nikolaevich 7 Hebbinghaus, Nils 7 Kritzer, Peter 7 Larchner, Gerhard 7 Lefmann, Hanno 7 Richmond, L. Bruce 7 Schoen, Tomasz 7 Woźniakowski, Henryk 6 Brüdern, Jörg 6 Conlon, David 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 6 Vaughan, Robert C. 5 Brown, Thomas Craig 5 Chen, William Wai Lim 5 Chen, Yonggao 5 Coons, Michael 5 Croot, Ernie 5 Elsholtz, Christian 5 Faure, Henri 5 Hančl, Jaroslav 5 Kiss, Sándor Z. 5 Kohayakawa, Yoshiharu 5 Matoušek, Jiří 5 Nathanson, Melvyn Bernard 5 Prendiville, Sean M. 5 Rebrova, Irina Yur’evna 4 Borda, Bence 4 Cook, Roger J. 4 Doerr, Benjamin 4 Durcik, Polona 4 Filaseta, Michael A. 4 Göral, Haydar 4 Kumchev, Angel V. 4 Lacey, Michael T. 4 Lev, Vsevolod F. 4 Li, Hongze 4 Liu, Yu-Ru 4 Roth, Klaus Friedrich 4 Rué, Juanjo 4 Ruzsa, Imre Z. 4 Schlickewei, Hans Peter 4 Shallit, Jeffrey Outlaw 4 Shapira, Asaf 4 Sisask, Olof 4 Spencer, Craig V. 4 Srivastav, Anand 4 Steinerberger, Stefan 4 Tao, Terence 4 Tenenbaum, Gérald 4 Tichy, Robert Franz 4 Varona Malumbres, Juan Luis 4 Wasilkowski, Grzegorz W. 4 Wooley, Trevor D. 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 Çelik, Şermin Çam 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 Guo, Victor Zhenyu 3 Hall, Richard R. 3 Helfgott, Harald Andrés 3 Hennecart, François 3 Hone, Andrew N. W. 3 Ingram, Patrick ...and 929 more Authors all top 5 Cited in 214 Serials 83 Journal of Number Theory 37 Monatshefte für Mathematik 31 Journal of Combinatorial Theory. Series A 27 European Journal of Combinatorics 26 Proceedings of the American Mathematical Society 25 Journal of Complexity 21 Mathematika 21 Transactions of the American Mathematical Society 19 Discrete Mathematics 18 Journal de Théorie des Nombres de Bordeaux 16 Israel Journal of Mathematics 16 Acta Arithmetica 14 Bulletin of the American Mathematical Society. New Series 13 Archiv der Mathematik 13 The Ramanujan Journal 12 Compositio Mathematica 12 Acta Mathematica Hungarica 11 Combinatorica 10 Advances in Mathematics 10 The Electronic Journal of Combinatorics 9 Journal of Mathematical Analysis and Applications 9 Inventiones Mathematicae 9 Mathematische Annalen 9 International Journal of Number Theory 8 Rocky Mountain Journal of Mathematics 8 Theoretical Computer Science 7 Periodica Mathematica Hungarica 7 Annales de l’Institut Fourier 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 Discrete & Computational Geometry 6 Random Structures & Algorithms 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 Mathematical Notes 5 Journal für die Reine und Angewandte Mathematik 5 Manuscripta Mathematica 5 Graphs and Combinatorics 5 SIAM Journal on Discrete Mathematics 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 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 Glasgow Mathematical Journal 4 Journal of Approximation Theory 4 Journal of Computer and System Sciences 4 Journal of Functional Analysis 4 Mathematische Zeitschrift 4 Michigan Mathematical Journal 4 Proceedings of the Japan Academy. Series A 4 Journal of the American Mathematical Society 4 Aequationes Mathematicae 4 Discrete Analysis 3 Analysis Mathematica 3 Lithuanian Mathematical Journal 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Bulletin of the London Mathematical Society 3 Canadian Mathematical Bulletin 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Algebra 3 Journal of the London Mathematical Society. Second Series 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 Mathematica Slovaca 3 Numerische Mathematik 3 Computational Geometry 3 Designs, Codes and Cryptography 3 Expositiones Mathematicae 3 Indagationes Mathematicae. New Series 3 Experimental Mathematics 3 Finite Fields and their Applications 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 Publications Mathématiques 2 Journal of Combinatorial Theory. Series B 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 ...and 114 more Serials all top 5 Cited in 51 Fields 712 Number theory (11-XX) 175 Combinatorics (05-XX) 64 Computer science (68-XX) 63 Numerical analysis (65-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 35 Probability theory and stochastic processes (60-XX) 28 Convex and discrete geometry (52-XX) 27 Group theory and generalizations (20-XX) 25 Algebraic geometry (14-XX) 24 Approximations and expansions (41-XX) 23 Measure and integration (28-XX) 21 Dynamical systems and ergodic theory (37-XX) 15 Mathematical logic and foundations (03-XX) 13 Functional analysis (46-XX) 12 Partial differential equations (35-XX) 12 Geometry (51-XX) 11 History and biography (01-XX) 11 Sequences, series, summability (40-XX) 7 Real functions (26-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 6 Abstract harmonic analysis (43-XX) 6 General topology (54-XX) 6 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Ordinary differential equations (34-XX) 4 Commutative algebra (13-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Field theory and polynomials (12-XX) 3 Integral transforms, operational calculus (44-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-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 Statistics (62-XX) 2 Mechanics of deformable solids (74-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 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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