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. 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 41 Publications have been cited 1,211 times in 1,009 Documents Cited by ▼ Year ▼ Rational approximations to algebraic numbers. Zbl 0064.28501 Roth, Klaus F. 228 1955 On certain sets of integers. Zbl 0050.04002 Roth, Klaus F. 198 1953 On irregularities of distribution. Zbl 0057.28604 Roth, Klaus F. 180 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. 87 1954 Sequences. Vol. I. Zbl 0141.04405 Halberstam, H.; Roth, Klaus F. 78 1966 Sequences. (Reprint). Zbl 0498.10001 Halberstam, H.; Roth, Klaus F. 68 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. 57 2004 Rational approximations to algebraic numbers. Zbl 0066.29302 Davenport, Harold; Roth, Klaus F. 41 1955 On irregularities of distribution. IV. Zbl 0425.10057 Roth, Klaus F. 40 1980 Some asymptotic formulae in the theory of partitions. Zbl 0057.03902 Roth, Klaus F.; Szekeres, George 39 1954 Remark concerning integer sequences. Zbl 0125.29601 Roth, Klaus F. 38 1964 Sur quelques ensembles d’entiers. Zbl 0046.04302 Roth, Klaus F. 37 1952 On a problem of Heilbronn. Zbl 0043.16303 Roth, Klaus F. 36 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. 21 1954 A problem in additiv number theory. Zbl 0044.03601 Roth, Klaus F. 16 1951 On a problem of Heilbronn. II. Zbl 0248.52013 Roth, Klaus F. 14 1972 On Waring’s problem for cubes. Zbl 0043.27303 Roth, K. F. 14 1951 Corrigendum: Rational approximations to algebraic numbers. Zbl 0066.29303 Roth, K. F. 14 1955 On a problem of Heilbronn. III. Zbl 0253.52001 Roth, Klaus F. 13 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 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 Inefficiency in packing squares with unit squares. Zbl 0373.05026 Roth, Klaus F.; Vaughan, R. C. 3 1978 Irregularities of sequences relative to arithmetic progressions. III. Zbl 0208.06001 Roth, Klaus F. 3 1970 On cosine polynomials corresponding to sets of integers. Zbl 0261.10026 Roth, Klaus F. 3 1973 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. 3 1973 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 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 large sieve. Zbl 0169.37503 Roth, 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 1093.11001 Vinogradov, I. M. 57 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. 68 1983 On irregularities of distribution. IV. Zbl 0425.10057 Roth, Klaus F. 40 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 On cosine polynomials corresponding to sets of integers. Zbl 0261.10026 Roth, Klaus F. 3 1973 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. 3 1973 On a problem of Heilbronn. II. Zbl 0248.52013 Roth, Klaus F. 14 1972 On a problem of Heilbronn. III. Zbl 0253.52001 Roth, Klaus F. 13 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. 78 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. 228 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. 14 1955 On irregularities of distribution. Zbl 0057.28604 Roth, Klaus F. 180 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. 87 1954 Some asymptotic formulae in the theory of partitions. Zbl 0057.03902 Roth, Klaus F.; Szekeres, George 39 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. 198 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. 36 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. 14 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 cited Publications top 5 cited Publications all top 5 Cited by 1,099 Authors 30 Pillichshammer, Friedrich 16 Erdős, Pál 14 Schmidt, Wolfgang M. 13 Bugeaud, Yann 13 Sárközy, András 12 Beck, József 12 Fox, Jacob 10 Kritzinger, Ralph 9 Dick, Josef 9 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 8 Bilyk, Dmitry 8 Conlon, David 8 Hinrichs, Aicke 8 Rodl, Vojtech 8 Szemerédi, Endre 7 Adamczewski, Boris 7 Brüdern, Jörg 7 Dobrovol’skiĭ, Nikolai Nikolaevich 7 Hebbinghaus, Nils 7 Kritzer, Peter 7 Larchner, Gerhard 7 Lefmann, Hanno 7 Richmond, L. Bruce 7 Sándor, Csaba 7 Schoen, Tomasz 7 Woźniakowski, Henryk 6 Chen, Yonggao 6 Graham, Ronald Lewis 6 Hennecart, François 6 Jin, Renling 6 Kiss, Sándor Z. 6 Lee, Sangjune 6 Markhasin, Lev 6 Nathanson, Melvyn Bernard 6 Niederreiter, Harald 6 Prendiville, Sean M. 6 Samotij, Wojciech 6 Temlyakov, Vladimir Nikolaevich 6 Tsang, Kai-Man 6 Vaughan, Robert C. 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 Kohayakawa, Yoshiharu 5 Matoušek, Jiří 5 Rebrova, Irina Yur’evna 5 Shapira, Asaf 5 Sisask, Olof 5 Steinerberger, Stefan 5 Wooley, Trevor D. 5 Zhao, Lilu 4 Ayadi, Khalil 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 Pramanik, Malabika 4 Ren, Xiumin 4 Roth, Klaus Friedrich 4 Rué, Juanjo 4 Ruzsa, Imre Z. 4 Schlickewei, Hans Peter 4 Shallit, Jeffrey Outlaw 4 Spencer, Craig V. 4 Srivastav, Anand 4 Sudakov, Benny 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 Banks, William David 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 Dodos, Pandelis 3 Drmota, Michael 3 Evertse, Jan-Hendrik 3 Fang, Jinhui 3 Gowers, William Timothy 3 Green, Ben Joseph 3 Grekos, Georges 3 Grynkiewicz, David J. ...and 999 more Authors all top 5 Cited in 227 Serials 86 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 26 Journal of Complexity 23 Mathematika 22 Transactions of the American Mathematical Society 20 Journal de Théorie des Nombres de Bordeaux 19 Discrete Mathematics 16 Israel Journal of Mathematics 16 Acta Arithmetica 15 The Ramanujan Journal 14 Archiv der Mathematik 14 Bulletin of the American Mathematical Society. New Series 13 Acta Mathematica Hungarica 12 Compositio Mathematica 12 Combinatorica 12 International Journal of Number Theory 11 Journal of Mathematical Analysis and Applications 10 Advances in Mathematics 10 The Electronic Journal of Combinatorics 9 Inventiones Mathematicae 9 Mathematische Annalen 8 Periodica Mathematica Hungarica 8 Rocky Mountain Journal of Mathematics 8 Theoretical Computer Science 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 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 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 of the London 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 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 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Algebra 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 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 Journal of Combinatorial Optimization 3 Integers 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 2 Journal of Combinatorial Theory. Series B ...and 127 more Serials all top 5 Cited in 52 Fields 759 Number theory (11-XX) 184 Combinatorics (05-XX) 68 Computer science (68-XX) 65 Numerical analysis (65-XX) 43 Harmonic analysis on Euclidean spaces (42-XX) 37 Probability theory and stochastic processes (60-XX) 28 Group theory and generalizations (20-XX) 28 Convex and discrete geometry (52-XX) 25 Algebraic geometry (14-XX) 25 Measure and integration (28-XX) 25 Approximations and expansions (41-XX) 22 Dynamical systems and ergodic theory (37-XX) 15 Mathematical logic and foundations (03-XX) 14 Geometry (51-XX) 13 Functional analysis (46-XX) 12 Partial differential equations (35-XX) 11 History and biography (01-XX) 11 Sequences, series, summability (40-XX) 8 Real functions (26-XX) 8 Operations research, mathematical programming (90-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) 5 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Information and communication theory, circuits (94-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 Field theory and polynomials (12-XX) 3 Integral transforms, operational calculus (44-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 Calculus of variations and optimal control; optimization (49-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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