Edit Profile Davenport, Harold Compute Distance To: Compute Author ID: davenport.harold Published as: Davenport, H.; Davenport, Harold External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor Documents Indexed: 245 Publications since 1931, including 13 Books Biographic References: 5 Publications all top 5 Co-Authors 159 single-authored 17 Heilbronn, Hans Arnold 16 Lewis, Donald-J. 9 Erdős, Pál 8 Schinzel, Andrzej 6 Schmidt, Wolfgang M. 5 Birch, Bryan John 4 Bombieri, Enrico 4 Halberstam, Heini 4 Rogers, Claude Ambrose 2 Hasse, Helmut 2 LeVeque, William Judson 2 Roth, Klaus Friedrich 1 Baker, Alan 1 Bambah, R. P. 1 Chatland, Harold 1 Chowla, Sarvadaman 1 Hall, Marshall jun. 1 Landau, Edmund 1 Mahler, Kurt 1 Pólya, George 1 Ridout, D. 1 Swinnerton-Dyer, Peter 1 Van der Corput, Johannes Gualtherus 1 Watson, George Leo all top 5 Serials 53 Journal of the London Mathematical Society 19 Mathematika 14 Acta Arithmetica 14 Proceedings of the London Mathematical Society. Second Series 11 The Quarterly Journal of Mathematics. Oxford Second Series 11 Proceedings of the Cambridge Philosophical Society 11 The Quarterly Journal of Mathematics. Oxford Series 7 Acta Mathematica 6 Michigan Mathematical Journal 6 Proceedings of the London Mathematical Society. Third Series 6 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 6 Annals of Mathematics. Second Series 5 American Journal of Mathematics 5 Journal für die Reine und Angewandte Mathematik 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 5 Proceedings. Akadamie van Wetenschappen Amsterdam 4 Philosophical Transactions of the Royal Society of London. Ser. A 3 The Mathematical Gazette 3 Canadian Journal of Mathematics 3 Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse 2 Duke Mathematical Journal 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Nature, London 2 Graduate Texts in Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematische Annalen 1 Nachrichten der Akademie der Wissenschaften in Göttingen. II. Mathematisch-Physikalische Klasse 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Transactions of the American Mathematical Society 1 Elemente der Mathematik 1 Det Kongelige Norske Videnskabers Selskabs Forhandlinger 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Series A 1 Fiziko-Matematicheskoe Nasledie 1 Cambridge Mathematical Library all top 5 Fields 93 Number theory (11-XX) 5 History and biography (01-XX) 3 Convex and discrete geometry (52-XX) 2 Field theory and polynomials (12-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 200 Publications have been cited 2,905 times in 2,311 Documents Cited by ▼ Year ▼ Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002Davenport, Harold 300 1980 Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001Davenport, Harold 213 2000 The equations \(3x^2 - 2 = y^2\) and \(8x^2 - 7 = z^2\). Zbl 0177.06802Baker, A.; Davenport, Harold 137 1969 On the density of discriminants of cubic fields. II. Zbl 0212.08101Davenport, Harold; Heilbronn, H. 118 1971 On the addition of residue classes. Zbl 0010.38905Davenport, Harold 83 1935 Multiplicative number theory. Zbl 0159.06303Davenport, Harold 76 1967 Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen. JFM 60.0913.01Davenport, H.; Hasse, H. 75 1934 On a principle of Lipschitz. Zbl 0042.27504Davenport, Harold 65 1951 On some infinite series involving arithmetical functions. II. JFM 63.0906.01Davenport, H. 49 1937 A combinatorial problem connected with differential equations. Zbl 0132.00601Davenport, Harold; Schinzel, Andrzej 46 1965 On indefinite quadratic forms in five variables. Zbl 0060.11914Davenport, Harold; Heilbronn, H. 45 1946 Cubic forms in sixteen variables. Zbl 0107.04102Davenport, Harold 41 1963 Analytic methods for Diophantine equations and Diophantine inequalities. Edited and prepared by T. D. Browning. With a preface by R. C. Vaughan, D. R. Heath-Brown and D. E. Freeman. 2nd ed. Zbl 1125.11018Davenport, Harold 40 2005 Rational approximations to algebraic numbers. Zbl 0066.29302Davenport, Harold; Roth, Klaus F. 37 1955 Note on irregularities of distribution. Zbl 0073.03402Davenport, Harold 36 1956 On Weyl’s criterion for uniform distribution. Zbl 0119.28201Davenport, Harold; Erdős, Pál; LeVeque, William J. 35 1963 Small differences between prime numbers. Zbl 0151.04201Bombieri, E.; Davenport, Harold 33 1966 On the zeros of certain Dirichlet series. Zbl 0014.21601Davenport, Harold; Heilbronn, H. 32 1936 Approximation to real numbers by algebraic integers. Zbl 0186.08603Davenport, Harold; Schmidt, Wolfgang M. 30 1969 On the addition of residue classes. JFM 61.0149.02Davenport, Harold 29 1935 Homogeneous additive equations. Zbl 0118.28002Davenport, Harold; Lewis, D. J. 28 1963 On some infinite series involving arithmetical functions. II. Zbl 0017.39101Davenport, Harold 28 1937 Bases for finite fields. Zbl 0159.33901Davenport, Harold 27 1968 A historical note. Zbl 0029.34401Davenport, Harold 27 1947 Note on normal decimals. Zbl 0046.04902Davenport, Harold; Erdős, Pál 25 1952 On the zeros of certain Dirichlet series. JFM 62.0138.01Davenport, H.; Heilbronn, H. 25 1936 On the density of discriminants of cubic fields. Zbl 0211.38602Davenport, Harold; Heilbronn, H. 24 1969 Simultaneous equations of additive type. Zbl 0207.35304Davenport, Harold; Lewis, D. J. 24 1969 On the class-number of binary cubic forms. I, II. Zbl 0044.27002Davenport, Harold 23 1951 On Waring’s problem for cubes. Zbl 0021.10601Davenport, Harold 23 1939 Cubic forms in thirty-two variables. Zbl 0084.27202Davenport, Harold 22 1959 The solubility of certain Diophantine inequalities. Zbl 0066.29301Davenport, Harold; Roth, Klaus F. 22 1955 On certain exponential sums. JFM 59.0370.03Davenport, H. 22 1933 Dirichlet’s theorem on diophantine approximation. II. Zbl 0201.05501Davenport, Harold; Schmidt, Wolfgang M. 21 1970 The distribution of quadratic and higher residues. Zbl 0050.04302Davenport, Harold; Erdős, Pál 21 1953 Approximation to real numbers by quadratic irrationals. Zbl 0155.09503Davenport, Harold; Schmidt, Wolfgang M. 20 1967 Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen. (On the zeros of the congruence zeta-functions in some cyclic cases). Zbl 0010.33803Davenport, Harold; Hasse, Helmut 19 1934 Equations of the form \(f(x) = g(y)\). Zbl 0121.28403Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 18 1961 On the product of two power series. Zbl 0037.32505Davenport, Harold; Pólya, George 18 1949 A combinatorial problem connected with differential equations. II. Zbl 0216.30204Davenport, Harold 17 1971 A note on diophantine approximation. II. Zbl 0122.05903Davenport, Harold 17 1964 Character sums and primitive roots in finite fields. Zbl 0119.04302Davenport, Harold; Lewis, D. J. 17 1963 Notes on congruences. I. Zbl 0113.26704Davenport, Harold; Lewis, D. J. 17 1963 Indefinite quadratic forms in many variables. II. Zbl 0078.03901Davenport, Harold 17 1958 On a theorem of Furtwängler. Zbl 0064.04501Davenport, Harold 17 1955 Analytic methods for Diophantine equations and Diophantine inequalities. The University of Michigan, Fall Semester, 1962. Zbl 1089.11500Davenport, Harold 16 1963 The value of a trigonometrical polynomial at well spaced points. Zbl 0171.00902Davenport, Harold; Halberstam, H. 15 1966 On a theorem of P.J. Cohen. Zbl 0117.28302Davenport, Harold 15 1960 Note on a result in the additive theory of numbers. Zbl 0016.34806Davenport, Harold; Heilbronn, H. 15 1937 On some infinite series involving arithmetical functions. Zbl 0016.20105Davenport, Harold 15 1937 The higher arithmetic. An introduction to the theory of numbers. Zbl 0049.30901Davenport, Harold 14 1952 On sequences of positive integers. Zbl 0043.04902Davenport, Harold; Erdős, Pál 14 1951 On sequences of positive integers. JFM 62.1130.03Davenport, H.; Erdös, P. 14 1936 On \(f^3(t)-g^2(t)\). Zbl 0136.25204Davenport, Harold 13 1965 Corrigendum on a principle of Lipschitz. Zbl 0125.02703Davenport, Harold 13 1964 Non-homogeneous ternary quadratic forms. Zbl 0030.29702Davenport, Harold 13 1948 On Waring’s problem for fourth powers. JFM 65.1149.02Davenport, H. 13 1939 On primitive roots in finite fields. Zbl 0018.10901Davenport, Harold 13 1937 On the large sieve method. Zbl 0207.05702Bombieri, E.; Davenport, Harold 12 1968 Primes in arithmetic progressions. Zbl 0171.00901Davenport, Harold; Halberstam, H. 12 1966 A note on Diophantine approximations. Zbl 0114.02903Davenport, Harold 12 1962 Indefinite quadratic forms in many variables. Zbl 0072.27205Davenport, Harold 12 1956 Indefinite binary quadratic forms, and Euclid’s algorithm in real quadratic fields. Zbl 0045.01402Davenport, Harold 12 1951 Hlawka’s theorem in the geometry of numbers. Zbl 0030.34602Davenport, Harold; Rogers, C. A. 12 1947 Simultaneous diophantine approximation. Zbl 0060.12000Davenport, Harold; Mahler, K. 12 1946 On the product of three homogeneous linear forms. II. Zbl 0019.19603Davenport, Harold 12 1938 On the zeros of certain Dirichlet series. II. Zbl 0015.19802Davenport, Harold; Heilbronn, H. 12 1936 Über numeri abundantes. JFM 59.0948.04Davenport, H. 12 1933 On the distribution of quadratic residues (mod \(p\)). Zbl 0001.12301Davenport, Harold 12 1931 Dirichlet’s theorem on Diophantine approximation. Zbl 0226.10032Davenport, Harold; Schmidt, Wolfgang M. 11 1970 Cubic equations of additive type. Zbl 0227.10038Davenport, Harold; Lewis, D. J. 11 1966 On some infinite series involving arithmetical functions. JFM 63.0134.05Davenport, H. 11 1937 Polynomials of certain special types. Zbl 0126.27801Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 10 1964 Non-homogeneous cubic equations. Zbl 0125.02402Davenport, Harold; Lewis, D. J. 10 1964 The addition of norm forms. Zbl 0105.02804Birch, B. J.; Davenport, Harold; Lewis, D. J. 10 1962 On a theorem of Davenport and Heilbronn. Zbl 0082.26002Birch, B. J.; Davenport, Harold 10 1958 Quadratic equations in several variables. Zbl 0081.04401Birch, B. J.; Davenport, Harold 10 1958 A simple proof of Remak’s theorem on the product of three linear forms. Zbl 0020.20502Davenport, Harold 10 1939 On primitive roots in finite fields. JFM 63.0905.03Davenport, H. 10 1937 The higher arithmetic. An introduction to the theory of numbers. Editing and additional material by James H. Davenport. 8th revised ed. Zbl 1204.11002Davenport, Harold 9 2008 The higher arithmetic. An introduction to the theory of numbers. Chapter VIII by J. H. Davenport. 7th ed. Zbl 0958.11002Davenport, H. 9 1999 On a theorem of Heilbronn. Zbl 0155.37701Davenport, Harold 9 1967 A note on binary cubic forms. Zbl 0104.04001Davenport, Harold 9 1961 On a theorem of Tschebotareff. Zbl 0060.12001Davenport, Harold 9 1946 On the product of three homogeneous linear forms. IV. Zbl 0060.11913Davenport, Harold 9 1943 On character sums in finite fields. Zbl 0021.20202Davenport, Harold 9 1939 Exponential sums in many variables. Zbl 0118.28103Davenport, Harold; Lewis, D. J. 8 1962 Asymmetric inequalities for nonhomogeneous linear forms. Zbl 0031.15501Davenport, Harold; Heilbronn, H. 8 1947 On an exponential sum. JFM 62.0178.01Davenport, H.; Heilbronn, H. 8 1936 On the distribution of quadratic residues (mod p). II. Zbl 0006.24901Davenport, Harold 8 1933 A theorem on linear forms. Zbl 0179.07303Davenport, Harold; Schmidt, Wolfgang M. 7 1968 Indefinite quadratic forms. Zbl 0091.04605Davenport, Harold; Ridout, D. 7 1959 Indefinite quadratic forms in many variables. Zbl 0084.27201Birch, B. J.; Davenport, Harold 7 1958 Euclid’s algorithm in real quadratic fields. Zbl 0037.30802Chatland, H.; Davenport, Harold 7 1950 On indefinite ternary quadratic forms. Zbl 0032.40104Davenport, Harold 7 1949 On Waring’s problem for fourth powers. Zbl 0024.01402Davenport, Harold 7 1939 On an exponential sum. Zbl 0014.25201Davenport, Harold; Heilbronn, H. 7 1936 On certain exponential sums. Zbl 0006.29501Davenport, Harold 7 1933 The higher arithmetic. An introduction to the theory of numbers. 5th ed. Zbl 0483.10002Davenport, Harold 6 1982 Multiplicative number theory. Übersetzung aus dem Englischen von E. P. Golubeva. Unter Redaktion von N. G. Chudakov. Zbl 0221.10038Davenport, Harold 6 1971 The higher arithmetic. An introduction to the theory of numbers. Editing and additional material by James H. Davenport. 8th revised ed. Zbl 1204.11002Davenport, Harold 9 2008 Analytic methods for Diophantine equations and Diophantine inequalities. Edited and prepared by T. D. Browning. With a preface by R. C. Vaughan, D. R. Heath-Brown and D. E. Freeman. 2nd ed. Zbl 1125.11018Davenport, Harold 40 2005 Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001Davenport, Harold 213 2000 The higher arithmetic. An introduction to the theory of numbers. Chapter VIII by J. H. Davenport. 7th ed. Zbl 0958.11002Davenport, H. 9 1999 The higher arithmetic. An introduction to the theory of numbers. 6th ed. Zbl 0751.11001Davenport, Harold 5 1992 The higher arithmetic. An introduction to the theory of numbers. 5th ed. Zbl 0483.10002Davenport, Harold 6 1982 Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002Davenport, Harold 300 1980 Gaps between values of positive definite quadratic forms. Zbl 0259.10021Davenport, Harold; Lewis, D. J. 3 1972 The zeros of trigonometrical polynomials. Zbl 0252.10037Davenport, Harold 1 1972 On the density of discriminants of cubic fields. II. Zbl 0212.08101Davenport, Harold; Heilbronn, H. 118 1971 A combinatorial problem connected with differential equations. II. Zbl 0216.30204Davenport, Harold 17 1971 Multiplicative number theory. Übersetzung aus dem Englischen von E. P. Golubeva. Unter Redaktion von N. G. Chudakov. Zbl 0221.10038Davenport, Harold 6 1971 Homogeneous quadratic equations. Zbl 0218.10048Davenport, Harold 6 1971 Dirichlet’s theorem on diophantine approximation. II. Zbl 0201.05501Davenport, Harold; Schmidt, Wolfgang M. 21 1970 Dirichlet’s theorem on Diophantine approximation. Zbl 0226.10032Davenport, Harold; Schmidt, Wolfgang M. 11 1970 The equations \(3x^2 - 2 = y^2\) and \(8x^2 - 7 = z^2\). Zbl 0177.06802Baker, A.; Davenport, Harold 137 1969 Approximation to real numbers by algebraic integers. Zbl 0186.08603Davenport, Harold; Schmidt, Wolfgang M. 30 1969 On the density of discriminants of cubic fields. Zbl 0211.38602Davenport, Harold; Heilbronn, H. 24 1969 Simultaneous equations of additive type. Zbl 0207.35304Davenport, Harold; Lewis, D. J. 24 1969 Some inequalities involving trigonometrical polynomials. Zbl 0186.08201Bombieri, E.; Davenport, Harold 5 1969 Two additive equations. Zbl 0226.10026Davenport, Harold; Lewis, D. J. 3 1969 Bases for finite fields. Zbl 0159.33901Davenport, Harold 27 1968 On the large sieve method. Zbl 0207.05702Bombieri, E.; Davenport, Harold 12 1968 A theorem on linear forms. Zbl 0179.07303Davenport, Harold; Schmidt, Wolfgang M. 7 1968 Corrigendum. Zbl 0192.39701Davenport, Harold; Halberstam, H. 3 1968 A note on Thue’s theorem. Zbl 0169.37703Davenport, Harold 2 1968 Multiplicative number theory. Zbl 0159.06303Davenport, Harold 76 1967 Approximation to real numbers by quadratic irrationals. Zbl 0155.09503Davenport, Harold; Schmidt, Wolfgang M. 20 1967 On a theorem of Heilbronn. Zbl 0155.37701Davenport, Harold 9 1967 Corrigendum and Addendum. Zbl 0171.01001Davenport, Harold; Halberstam, H. 2 1967 Diophantine approximation and sums of roots of unity. Zbl 0139.27702Davenport, Harold; Schinzel, Andrzej 2 1967 Small differences between prime numbers. Zbl 0151.04201Bombieri, E.; Davenport, Harold 33 1966 The value of a trigonometrical polynomial at well spaced points. Zbl 0171.00902Davenport, Harold; Halberstam, H. 15 1966 Primes in arithmetic progressions. Zbl 0171.00901Davenport, Harold; Halberstam, H. 12 1966 Cubic equations of additive type. Zbl 0227.10038Davenport, Harold; Lewis, D. J. 11 1966 A note on certain arithmetical constants. Zbl 0142.01204Davenport, Harold; Schinzel, Andrzej 4 1966 Eine Bemerkung über Dirichlets L-Funktionen. Zbl 0146.05503Davenport, Harold 1 1966 Looking back. Zbl 0145.00503Davenport, Harold 1 1966 Note on an irrational power series. Zbl 0144.29103Davenport, Harold 1 1966 Notes on congruences. III. Zbl 0144.03902Davenport, Harold; Lewis, D. J. 1 1966 On two problems of Mordell. Zbl 0136.32701Bombieri, E.; Davenport, Harold 1 1966 A combinatorial problem connected with differential equations. Zbl 0132.00601Davenport, Harold; Schinzel, Andrzej 46 1965 On \(f^3(t)-g^2(t)\). Zbl 0136.25204Davenport, Harold 13 1965 The higher arithmetic. An introduction to the theory of numbers. Übersetzung aus dem Englischen von B. Z. Moroz. Unter Redaktion von Yu. V. Linnik. Zbl 0131.03901Davenport, Harold 6 1965 Two problems concerning polynomials. Zbl 0152.02303Davenport, Harold; Schinzel, Andrzej 2 1965 A note on sequences and subsequences. Zbl 0132.25101Davenport, Harold; Schinzel, Andrzej 2 1965 A note on diophantine approximation. II. Zbl 0122.05903Davenport, Harold 17 1964 Corrigendum on a principle of Lipschitz. Zbl 0125.02703Davenport, Harold 13 1964 Polynomials of certain special types. Zbl 0126.27801Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 10 1964 Non-homogeneous cubic equations. Zbl 0125.02402Davenport, Harold; Lewis, D. J. 10 1964 A remark on continued fractions. Zbl 0125.02802Davenport, Harold 3 1964 L. J. Mordell. Zbl 0122.00607Davenport, Harold 1 1964 Cubic forms in sixteen variables. Zbl 0107.04102Davenport, Harold 41 1963 On Weyl’s criterion for uniform distribution. Zbl 0119.28201Davenport, Harold; Erdős, Pál; LeVeque, William J. 35 1963 Homogeneous additive equations. Zbl 0118.28002Davenport, Harold; Lewis, D. J. 28 1963 Character sums and primitive roots in finite fields. Zbl 0119.04302Davenport, Harold; Lewis, D. J. 17 1963 Notes on congruences. I. Zbl 0113.26704Davenport, Harold; Lewis, D. J. 17 1963 Analytic methods for Diophantine equations and Diophantine inequalities. The University of Michigan, Fall Semester, 1962. Zbl 1089.11500Davenport, Harold 16 1963 An analogue of a problem of Littlewood. Zbl 0107.04202Davenport, Harold; Lewis, D. J. 4 1963 Notes on congruences. II. Zbl 0124.27401Davenport, Harold; Lewis, D. J. 1 1963 A theorem on uniform distribution. Zbl 0122.05904Davenport, Harold; Erdős, Pál 1 1963 Uniform distribution relative to a fixed sequence. Zbl 0119.28202Davenport, Harold; LeVeque, William J. 1 1963 A problematic identity. Zbl 0116.03504Davenport, Harold 1 1963 A note on Diophantine approximations. Zbl 0114.02903Davenport, Harold 12 1962 The addition of norm forms. Zbl 0105.02804Birch, B. J.; Davenport, Harold; Lewis, D. J. 10 1962 Exponential sums in many variables. Zbl 0118.28103Davenport, Harold; Lewis, D. J. 8 1962 Cubic forms in 29 variables. Zbl 0103.03101Davenport, Harold 3 1962 Note on Weyl’s inequality. Zbl 0105.03801Birch, B. J.; Davenport, Harold 2 1962 Equations of the form \(f(x) = g(y)\). Zbl 0121.28403Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 18 1961 A note on binary cubic forms. Zbl 0104.04001Davenport, Harold 9 1961 On Weyl’s inequality and Waring’s problem for cubes. Zbl 0163.04101Chowla, Sarvadaman; Davenport, Harold 3 1961 Über einige neuere Fortschritte der additiven Zahlentheorie. Zbl 0101.27903Davenport, Harold 1 1961 On a theorem of P.J. Cohen. Zbl 0117.28302Davenport, Harold 15 1960 The work of K.F. Roth. Zbl 0119.24901Davenport, Harold 1 1960 Some recent progress in analytic number theory. Zbl 0092.04906Davenport, Harold 1 1960 Cubic forms in thirty-two variables. Zbl 0084.27202Davenport, Harold 22 1959 Indefinite quadratic forms. Zbl 0091.04605Davenport, Harold; Ridout, D. 7 1959 Indefinite quadratic forms in many variables. II. Zbl 0078.03901Davenport, Harold 17 1958 On a theorem of Davenport and Heilbronn. Zbl 0082.26002Birch, B. J.; Davenport, Harold 10 1958 Quadratic equations in several variables. Zbl 0081.04401Birch, B. J.; Davenport, Harold 10 1958 Indefinite quadratic forms in many variables. Zbl 0084.27201Birch, B. J.; Davenport, Harold 7 1958 Note on a theorem of Cassels. Zbl 0079.06805Davenport, Harold 4 1957 Note on irregularities of distribution. Zbl 0073.03402Davenport, Harold 36 1956 Indefinite quadratic forms in many variables. Zbl 0072.27205Davenport, Harold 12 1956 Rational approximations to algebraic numbers. Zbl 0066.29302Davenport, Harold; Roth, Klaus F. 37 1955 The solubility of certain Diophantine inequalities. Zbl 0066.29301Davenport, Harold; Roth, Klaus F. 22 1955 On a theorem of Furtwängler. Zbl 0064.04501Davenport, Harold 17 1955 Products of inhomogeneous linear forms. Zbl 0065.03201Davenport, Harold; Swinnerton-Dyer, H. P. F. 1 1955 Simultaneous Diophantine approximation. Zbl 0056.04303Davenport, Harold 5 1954 The minimal points of a positive definite quadratic form. Zbl 0056.04204Davenport, Harold; Watson, G. L. 1 1954 The distribution of quadratic and higher residues. Zbl 0050.04302Davenport, Harold; Erdős, Pál 21 1953 On the product of \(n\) linear forms. Zbl 0051.03504Davenport, Harold 3 1953 Note on normal decimals. Zbl 0046.04902Davenport, Harold; Erdős, Pál 25 1952 The higher arithmetic. An introduction to the theory of numbers. Zbl 0049.30901Davenport, Harold 14 1952 Simultaneous Diophantine approximation. Zbl 0048.03204Davenport, Harold 6 1952 Linear forms associated with an algebraic number-field. Zbl 0047.27402Davenport, Harold 6 1952 The covering of \(n\)-dimensional space by spheres. Zbl 0047.05101Bambah, R. P.; Davenport, Harold 4 1952 The covering of space by spheres. Zbl 0047.05002Davenport, Harold 2 1952 Note on a result of Chalk. Zbl 0046.04501Davenport, Harold 1 1952 On a principle of Lipschitz. Zbl 0042.27504Davenport, Harold 65 1951 ...and 100 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,073 Authors 25 Schmidt, Wolfgang M. 24 Zaharescu, Alexandru 22 Brüdern, Jörg 21 Luca, Florian 20 Dujella, Andrej 16 Wooley, Trevor D. 15 Berndt, Bruce Carl 15 Bugeaud, Yann 15 Granville, Andrew James 15 Shparlinski, Igor E. 15 Togbé, Alain 14 Baker, Roger C. 14 Browning, Timothy Daniel 14 Heath-Brown, Roger 14 Sárközy, András 12 Alkan, Emre 12 Liu, Jianya 12 Liu, Ming-Chit 12 Lu, Guangshi 12 Pintz, Janos 12 Soundararajan, Kannan 11 Cook, Richard J. 11 Fujita, Yasutsugu 11 Hamidoune, Yahya Ould 11 Vaughan, Robert C. 10 Bennett, Michael A. 10 Bhargava, Manjul 10 Ford, Kevin B. 10 Fouvry, Etienne 10 Goldston, Daniel Alan 10 Lagarias, Jeffrey C. 10 Perelli, Alberto 10 Ziegler, Volker 9 Dobrovol’skiĭ, Nikolai Nikolaevich 9 Erdős, Pál 9 Götze, Friedrich W. 9 He, Bo 9 Kaliada, Dzianis 9 Languasco, Alessandro 9 Sarnak, Peter Clive 9 Zaccagnini, Alessandro 9 Zhang, Wenpeng 8 Banks, William D. 8 Dietmann, Rainer 8 Filipin, Alan 8 Hans-Gill, Rajinder J. 8 Harman, Glyn 8 Klazar, Martin 8 Lamzouri, Youness 8 Mauduit, Christian 8 Murty, Maruti Ram 8 Pethő, Attila 8 Raka, Madhu 8 Sharir, Micha 8 Stewart, Cameron L. 8 Tao, Terence 8 Wolke, Dieter 8 Zhao, Liangyi 7 Alon, Noga M. 7 Cipu, Mihai 7 Cook, Roger J. 7 Ddamulira, Mahadi 7 Dixit, Atul 7 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 7 Evans, Ronald J. 7 Green, Ben Joseph 7 Hiary, Ghaith Ayesh 7 Katz, Daniel J. 7 Katz, Nicholas Michael 7 Knapp, Michael P. 7 Konyagin, Sergeĭ Vladimirovich 7 Laurinčikas, Antanas 7 Mignotte, Maurice 7 Nowak, Werner Georg 7 Pomerance, Carl Bernard 7 Ramaré, Olivier 7 Roy, Damien 7 Shankar, Arul 7 Wang, Tianze 7 Wood, Melanie Matchett 7 Yao, Weili 7 Yukie, Akihiko 6 Barnes, E. S. 6 Bazzanella, Danilo 6 Belabas, Karim 6 Chow, Sam 6 Dumir, Vishwa Chander 6 Friedlander, John Benjamin 6 Fuchs, Clemens 6 Gaál, István 6 Groemer, Helmut 6 Kátai, Imre 6 Kleinbock, Dmitry Ya. 6 Kułaga-Przymus, Joanna 6 Lemańczyk, Mariusz 6 Madritsch, Manfred G. 6 Maynard, James 6 Montgomery, Hugh Lowell 6 Parsell, Scott T. 6 Pillichshammer, Friedrich ...and 1,973 more Authors all top 5 Cited in 309 Serials 288 Journal of Number Theory 88 Monatshefte für Mathematik 76 Proceedings of the American Mathematical Society 73 Transactions of the American Mathematical Society 71 Mathematika 67 Mathematics of Computation 47 Journal de Théorie des Nombres de Bordeaux 45 International Journal of Number Theory 41 Inventiones Mathematicae 33 Mathematische Annalen 32 Finite Fields and their Applications 31 Duke Mathematical Journal 31 The Ramanujan Journal 30 Acta Arithmetica 29 Compositio Mathematica 28 Functiones et Approximatio. Commentarii Mathematici 27 Discrete Mathematics 27 Israel Journal of Mathematics 27 Mathematical Notes 27 Advances in Mathematics 26 Acta Mathematica 25 Acta Mathematica Hungarica 24 Journal of Combinatorial Theory. Series A 24 Mathematische Zeitschrift 23 Lithuanian Mathematical Journal 23 Mathematical Proceedings of the Cambridge Philosophical Society 23 Archiv der Mathematik 22 Rocky Mountain Journal of Mathematics 21 Annales de l’Institut Fourier 20 Bulletin of the American Mathematical Society. New Series 20 Indagationes Mathematicae. New Series 19 Chebyshevskiĭ Sbornik 17 Journal für die Reine und Angewandte Mathematik 17 Annals of Mathematics. Second Series 16 Glasgow Mathematical Journal 16 Journal of Soviet Mathematics 16 European Journal of Combinatorics 15 Journal of Mathematical Analysis and Applications 15 Acta Mathematica Sinica. English Series 14 Proceedings of the Japan Academy. Series A 14 Experimental Mathematics 13 Periodica Mathematica Hungarica 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal of the American Mathematical Society 12 Journal of Mathematical Sciences (New York) 12 Journal of the Australian Mathematical Society 11 Manuscripta Mathematica 11 Journal of Complexity 11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 11 Bulletin of the American Mathematical Society 11 Science China. Mathematics 10 Bulletin of the Australian Mathematical Society 10 Journal d’Analyse Mathématique 10 Combinatorica 10 Geometric and Functional Analysis. GAFA 10 Proceedings of the Steklov Institute of Mathematics 9 Journal of Algebra 9 Journal of Symbolic Computation 9 Research in Number Theory 8 Discrete Applied Mathematics 8 Journal of Functional Analysis 8 Linear Algebra and its Applications 7 Arkiv för Matematik 7 Journal of Approximation Theory 7 Michigan Mathematical Journal 7 Nagoya Mathematical Journal 7 Discrete & Computational Geometry 7 Science in China. Series A 7 Journal of Integer Sequences 7 Journal of the European Mathematical Society (JEMS) 6 Indian Journal of Pure & Applied Mathematics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Czechoslovak Mathematical Journal 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Theoretical Computer Science 6 Chinese Annals of Mathematics. Series B 6 Discrete and Continuous Dynamical Systems 6 Frontiers of Mathematics in China 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 The Mathematical Intelligencer 5 Bulletin of the London Mathematical Society 5 Mathematica Slovaca 5 Proceedings of the London Mathematical Society. Third Series 5 Advances in Applied Mathematics 5 Ergodic Theory and Dynamical Systems 5 Forum Mathematicum 5 Aequationes Mathematicae 5 Journal of Inequalities and Applications 5 Algebra & Number Theory 5 Forum of Mathematics, Sigma 4 Computers & Mathematics with Applications 4 Communications in Mathematical Physics 4 Information Processing Letters 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Bulletin de la Société Mathématique de France 4 Canadian Mathematical Bulletin 4 Journal of the London Mathematical Society. Second Series 4 Pacific Journal of Mathematics 4 Tohoku Mathematical Journal. Second Series ...and 209 more Serials all top 5 Cited in 57 Fields 1,968 Number theory (11-XX) 145 Combinatorics (05-XX) 145 Algebraic geometry (14-XX) 78 Dynamical systems and ergodic theory (37-XX) 75 Group theory and generalizations (20-XX) 58 Computer science (68-XX) 51 Field theory and polynomials (12-XX) 50 Probability theory and stochastic processes (60-XX) 45 Harmonic analysis on Euclidean spaces (42-XX) 39 Convex and discrete geometry (52-XX) 37 Information and communication theory, circuits (94-XX) 36 Numerical analysis (65-XX) 29 Measure and integration (28-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 28 Special functions (33-XX) 27 Functions of a complex variable (30-XX) 20 Topological groups, Lie groups (22-XX) 18 History and biography (01-XX) 18 Real functions (26-XX) 16 Commutative algebra (13-XX) 16 Abstract harmonic analysis (43-XX) 13 Approximations and expansions (41-XX) 12 Operator theory (47-XX) 12 Quantum theory (81-XX) 11 Mathematical logic and foundations (03-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Partial differential equations (35-XX) 10 Functional analysis (46-XX) 9 Ordinary differential equations (34-XX) 9 Geometry (51-XX) 8 Differential geometry (53-XX) 7 General and overarching topics; collections (00-XX) 7 Several complex variables and analytic spaces (32-XX) 6 General topology (54-XX) 6 Statistics (62-XX) 5 Associative rings and algebras (16-XX) 5 Manifolds and cell complexes (57-XX) 5 Operations research, mathematical programming (90-XX) 4 Nonassociative rings and algebras (17-XX) 4 Sequences, series, summability (40-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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