Edit Profile (opens in new tab) Davenport, Harold Compute Distance To: Compute Author ID: davenport.harold Published as: Davenport, Harold; Davenport, H. External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 246 Publications since 1931, including 13 Books Biographic References: 5 Publications Co-Authors: 28 Co-Authors with 87 Joint Publications 917 Co-Co-Authors all top 5 Co-Authors 155 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 Montgomery, Hugh Lowell 2 Pólya, George 2 Roth, Klaus Friedrich 1 Baker, Alan 1 Bambah, R. P. 1 Browning, Timothy Daniel 1 Chatland, Harold 1 Chowla, Sarvadaman 1 Davenport, James Harold 1 Freeman, D. Eric 1 Hall, Marshall jun. 1 Heath-Brown, Roger 1 Landau, Edmund 1 Littlewood, John Edensor 1 Mahler, Kurt 1 Mordell, Louis Joel 1 Ridout, D. 1 Swinnerton-Dyer, Peter 1 Titchmarsh, Edward Charles 1 Van der Corput, Johannes Gualtherus 1 Vaughan, Robert C. 1 Watson, George Leo 1 Wiener, Norbert 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 Bulletin of the American Mathematical Society 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 97 Number theory (11-XX) 6 History and biography (01-XX) 3 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-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 197 Publications have been cited 2,858 times in 2,333 Documents Cited by ▼ Year ▼ Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002Davenport, Harold 246 1980 Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001Davenport, Harold 204 2000 The equations \(3x^2 - 2 = y^2\) and \(8x^2 - 7 = z^2\). Zbl 0177.06802Baker, A.; Davenport, Harold 152 1969 On the density of discriminants of cubic fields. II. Zbl 0212.08101Davenport, Harold; Heilbronn, H. 123 1971 Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen. JFM 60.0913.01Davenport, H.; Hasse, H. 76 1934 Multiplicative number theory. Zbl 0159.06303Davenport, Harold 74 1967 On the addition of residue classes. Zbl 0010.38905Davenport, Harold 74 1935 On a principle of Lipschitz. Zbl 0042.27504Davenport, Harold 70 1951 On indefinite quadratic forms in five variables. Zbl 0060.11914Davenport, Harold; Heilbronn, H. 52 1946 On some infinite series involving arithmetical functions. II. JFM 63.0906.01Davenport, H. 52 1937 A combinatorial problem connected with differential equations. Zbl 0132.00601Davenport, Harold; Schinzel, Andrzej 47 1965 Cubic forms in sixteen variables. Zbl 0107.04102Davenport, Harold 42 1963 Note on irregularities of distribution. Zbl 0073.03402Davenport, Harold 40 1956 Rational approximations to algebraic numbers. Zbl 0066.29302Davenport, Harold; Roth, Klaus F. 39 1955 On Weyl’s criterion for uniform distribution. Zbl 0119.28201Davenport, Harold; Erdős, Pál; LeVeque, William J. 39 1963 Approximation to real numbers by algebraic integers. Zbl 0186.08603Davenport, Harold; Schmidt, Wolfgang M. 35 1969 On the addition of residue classes. JFM 61.0149.02Davenport, Harold 33 1935 Small differences between prime numbers. Zbl 0151.04201Bombieri, E.; Davenport, Harold 33 1966 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 31 2005 Bases for finite fields. Zbl 0159.33901Davenport, Harold 29 1968 On the zeros of certain Dirichlet series. Zbl 0014.21601Davenport, Harold; Heilbronn, H. 29 1936 Homogeneous additive equations. Zbl 0118.28002Davenport, Harold; Lewis, D. J. 29 1963 On some infinite series involving arithmetical functions. II. Zbl 0017.39101Davenport, Harold 28 1937 A historical note. Zbl 0029.34401Davenport, Harold 28 1947 Note on normal decimals. Zbl 0046.04902Davenport, Harold; Erdős, Pál 28 1952 On the zeros of certain Dirichlet series. JFM 62.0138.01Davenport, H.; Heilbronn, H. 25 1936 On certain exponential sums. JFM 59.0370.03Davenport, H. 25 1933 Dirichlet’s theorem on diophantine approximation. II. Zbl 0201.05501Davenport, Harold; Schmidt, Wolfgang M. 24 1970 Simultaneous equations of additive type. Zbl 0207.35304Davenport, Harold; Lewis, D. J. 24 1969 On the density of discriminants of cubic fields. Zbl 0211.38602Davenport, Harold; Heilbronn, H. 24 1969 On the class-number of binary cubic forms. I, II. Zbl 0044.27002Davenport, Harold 24 1951 Cubic forms in thirty-two variables. Zbl 0084.27202Davenport, Harold 24 1959 On Waring’s problem for cubes. Zbl 0021.10601Davenport, Harold 23 1939 The solubility of certain Diophantine inequalities. Zbl 0066.29301Davenport, Harold; Roth, Klaus F. 22 1955 Approximation to real numbers by quadratic irrationals. Zbl 0155.09503Davenport, Harold; Schmidt, Wolfgang M. 21 1967 The distribution of quadratic and higher residues. Zbl 0050.04302Davenport, Harold; Erdős, Pál 21 1953 On the product of two power series. Zbl 0037.32505Davenport, Harold; Pólya, George 20 1949 Character sums and primitive roots in finite fields. Zbl 0119.04302Davenport, Harold; Lewis, D. J. 19 1963 Equations of the form \(f(x) = g(y)\). Zbl 0121.28403Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 19 1961 Indefinite quadratic forms in many variables. II. Zbl 0078.03901Davenport, Harold 18 1958 A note on diophantine approximation. II. Zbl 0122.05903Davenport, Harold 18 1964 A combinatorial problem connected with differential equations. II. Zbl 0216.30204Davenport, Harold 17 1971 Notes on congruences. I. Zbl 0113.26704Davenport, Harold; Lewis, D. J. 17 1963 On a theorem of Furtwängler. Zbl 0064.04501Davenport, Harold 16 1955 Analytic methods for Diophantine equations and Diophantine inequalities. The University of Michigan, Fall Semester, 1962. Zbl 1089.11500Davenport, Harold 15 1963 On a theorem of P.J. Cohen. Zbl 0117.28302Davenport, Harold 15 1960 On sequences of positive integers. JFM 62.1130.03Davenport, H.; Erdős, P. 15 1936 The value of a trigonometrical polynomial at well spaced points. Zbl 0171.00902Davenport, Harold; Halberstam, H. 14 1966 Note on a result in the additive theory of numbers. Zbl 0016.34806Davenport, Harold; Heilbronn, H. 14 1937 On sequences of positive integers. Zbl 0043.04902Davenport, Harold; Erdős, Pál 14 1951 Primes in arithmetic progressions. Zbl 0171.00901Davenport, Harold; Halberstam, H. 13 1966 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 13 1934 On the product of three homogeneous linear forms. II. Zbl 0019.19603Davenport, Harold 13 1938 Non-homogeneous ternary quadratic forms. Zbl 0030.29702Davenport, Harold 13 1948 Simultaneous diophantine approximation. Zbl 0060.12000Davenport, Harold; Mahler, K. 13 1946 Indefinite quadratic forms in many variables. Zbl 0072.27205Davenport, Harold 13 1956 Corrigendum on a principle of Lipschitz. Zbl 0125.02703Davenport, Harold 13 1964 On \(f^3(t)-g^2(t)\). Zbl 0136.25204Davenport, Harold 13 1965 On some infinite series involving arithmetical functions. JFM 63.0134.05Davenport, H. 13 1937 On Waring’s problem for fourth powers. JFM 65.1149.02Davenport, H. 13 1939 On the zeros of certain Dirichlet series. II. Zbl 0015.19802Davenport, Harold; Heilbronn, H. 12 1936 Hlawka’s theorem in the geometry of numbers. Zbl 0030.34602Davenport, Harold; Rogers, C. A. 12 1947 Indefinite binary quadratic forms, and Euclid’s algorithm in real quadratic fields. Zbl 0045.01402Davenport, Harold 12 1951 Quadratic equations in several variables. Zbl 0081.04401Birch, B. J.; Davenport, Harold 12 1958 On a theorem of Davenport and Heilbronn. Zbl 0082.26002Birch, B. J.; Davenport, Harold 12 1958 Cubic equations of additive type. Zbl 0227.10038Davenport, Harold; Lewis, D. J. 11 1966 On primitive roots in finite fields. Zbl 0018.10901Davenport, Harold 11 1937 Polynomials of certain special types. Zbl 0126.27801Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 11 1964 On character sums in finite fields. Zbl 0021.20202Davenport, Harold 10 1939 The addition of norm forms. Zbl 0105.02804Birch, B. J.; Davenport, Harold; Lewis, D. J. 10 1962 Non-homogeneous cubic equations. Zbl 0125.02402Davenport, Harold; Lewis, D. J. 10 1964 On primitive roots in finite fields. JFM 63.0905.03Davenport, H. 10 1937 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 On the large sieve method. Zbl 0207.05702Bombieri, E.; Davenport, Harold 9 1968 On the distribution of quadratic residues (mod \(p\)). Zbl 0001.12301Davenport, Harold 9 1931 On some infinite series involving arithmetical functions. Zbl 0016.20105Davenport, Harold 9 1937 The higher arithmetic. An introduction to the theory of numbers. Zbl 0049.30901Davenport, Harold 9 1952 On the product of three homogeneous linear forms. IV. Zbl 0060.11913Davenport, Harold 9 1943 On a theorem of Tschebotareff. Zbl 0060.12001Davenport, Harold 9 1946 A note on binary cubic forms. Zbl 0104.04001Davenport, Harold 9 1961 Über numeri abundantes. JFM 59.0948.04Davenport, H. 9 1933 A theorem on linear forms. Zbl 0179.07303Davenport, Harold; Schmidt, Wolfgang M. 8 1968 On the distribution of quadratic residues (mod p). II. Zbl 0006.24901Davenport, Harold 8 1933 Asymmetric inequalities for nonhomogeneous linear forms. Zbl 0031.15501Davenport, Harold; Heilbronn, H. 8 1947 Indefinite quadratic forms in many variables. Zbl 0084.27201Birch, B. J.; Davenport, Harold 8 1958 Indefinite quadratic forms. Zbl 0091.04605Davenport, Harold; Ridout, D. 8 1959 Exponential sums in many variables. Zbl 0118.28103Davenport, Harold; Lewis, D. J. 8 1962 Some inequalities involving trigonometrical polynomials. Zbl 0186.08201Bombieri, E.; Davenport, Harold 7 1969 On indefinite ternary quadratic forms. Zbl 0032.40104Davenport, Harold 7 1949 Euclid’s algorithm in real quadratic fields. Zbl 0037.30802Chatland, H.; Davenport, Harold 7 1950 Simultaneous Diophantine approximation. Zbl 0048.03204Davenport, Harold 7 1952 On an exponential sum. JFM 62.0178.01Davenport, H.; Heilbronn, H. 7 1936 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 7 2008 Homogeneous quadratic equations. Zbl 0218.10048Davenport, Harold 6 1971 Multiplicative number theory. Übersetzung aus dem Englischen von E. P. Golubeva. Unter Redaktion von N. G. Chudakov. (Мультипликативная теория чисел.) Zbl 0221.10038Davenport, Harold 6 1971 Dirichlet’s theorem on Diophantine approximation. Zbl 0226.10032Davenport, Harold; Schmidt, Wolfgang M. 6 1970 A simple proof of Remak’s theorem on the product of three linear forms. Zbl 0020.20502Davenport, Harold 6 1939 On Waring’s problem for fourth powers. Zbl 0024.01402Davenport, Harold 6 1939 Linear forms associated with an algebraic number-field. Zbl 0047.27402Davenport, Harold 6 1952 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 7 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 31 2005 Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001Davenport, Harold 204 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 4 1982 Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002Davenport, Harold 246 1980 Gaps between values of positive definite quadratic forms. Zbl 0259.10021Davenport, Harold; Lewis, D. J. 4 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. 123 1971 A combinatorial problem connected with differential equations. II. Zbl 0216.30204Davenport, Harold 17 1971 Homogeneous quadratic equations. Zbl 0218.10048Davenport, Harold 6 1971 Multiplicative number theory. Übersetzung aus dem Englischen von E. P. Golubeva. Unter Redaktion von N. G. Chudakov. (Мультипликативная теория чисел.) Zbl 0221.10038Davenport, Harold 6 1971 Dirichlet’s theorem on diophantine approximation. II. Zbl 0201.05501Davenport, Harold; Schmidt, Wolfgang M. 24 1970 Dirichlet’s theorem on Diophantine approximation. Zbl 0226.10032Davenport, Harold; Schmidt, Wolfgang M. 6 1970 The equations \(3x^2 - 2 = y^2\) and \(8x^2 - 7 = z^2\). Zbl 0177.06802Baker, A.; Davenport, Harold 152 1969 Approximation to real numbers by algebraic integers. Zbl 0186.08603Davenport, Harold; Schmidt, Wolfgang M. 35 1969 Simultaneous equations of additive type. Zbl 0207.35304Davenport, Harold; Lewis, D. J. 24 1969 On the density of discriminants of cubic fields. Zbl 0211.38602Davenport, Harold; Heilbronn, H. 24 1969 Some inequalities involving trigonometrical polynomials. Zbl 0186.08201Bombieri, E.; Davenport, Harold 7 1969 Two additive equations. Zbl 0226.10026Davenport, Harold; Lewis, D. J. 2 1969 Bases for finite fields. Zbl 0159.33901Davenport, Harold 29 1968 On the large sieve method. Zbl 0207.05702Bombieri, E.; Davenport, Harold 9 1968 A theorem on linear forms. Zbl 0179.07303Davenport, Harold; Schmidt, Wolfgang M. 8 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 74 1967 Approximation to real numbers by quadratic irrationals. Zbl 0155.09503Davenport, Harold; Schmidt, Wolfgang M. 21 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. 14 1966 Primes in arithmetic progressions. Zbl 0171.00901Davenport, Harold; Halberstam, H. 13 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 On two problems of Mordell. Zbl 0136.32701Bombieri, E.; Davenport, Harold 1 1966 Quadratic diophantine equations with a parameter. Zbl 0139.27101Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 1 1966 Notes on congruences. III. Zbl 0144.03902Davenport, Harold; Lewis, D. J. 1 1966 Note on an irrational power series. Zbl 0144.29103Davenport, Harold 1 1966 Looking back. Zbl 0145.00503Davenport, Harold 1 1966 Eine Bemerkung über Dirichlets L-Funktionen. Zbl 0146.05503Davenport, Harold 1 1966 A combinatorial problem connected with differential equations. Zbl 0132.00601Davenport, Harold; Schinzel, Andrzej 47 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 5 1965 Two problems concerning polynomials. Zbl 0152.02303Davenport, Harold; Schinzel, Andrzej 3 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 18 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 11 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 42 1963 On Weyl’s criterion for uniform distribution. Zbl 0119.28201Davenport, Harold; Erdős, Pál; LeVeque, William J. 39 1963 Homogeneous additive equations. Zbl 0118.28002Davenport, Harold; Lewis, D. J. 29 1963 Character sums and primitive roots in finite fields. Zbl 0119.04302Davenport, Harold; Lewis, D. J. 19 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 15 1963 An analogue of a problem of Littlewood. Zbl 0107.04202Davenport, Harold; Lewis, D. J. 5 1963 A problematic identity. Zbl 0116.03504Davenport, Harold 1 1963 Uniform distribution relative to a fixed sequence. Zbl 0119.28202Davenport, Harold; LeVeque, William J. 1 1963 A theorem on uniform distribution. Zbl 0122.05904Davenport, Harold; Erdős, Pál 1 1963 Notes on congruences. II. Zbl 0124.27401Davenport, Harold; Lewis, D. J. 1 1963 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 A note on Diophantine approximations. Zbl 0114.02903Davenport, Harold 4 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 19 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 Some recent progress in analytic number theory. Zbl 0092.04906Davenport, Harold 1 1960 Cubic forms in thirty-two variables. Zbl 0084.27202Davenport, Harold 24 1959 Indefinite quadratic forms. Zbl 0091.04605Davenport, Harold; Ridout, D. 8 1959 Indefinite quadratic forms in many variables. II. Zbl 0078.03901Davenport, Harold 18 1958 Quadratic equations in several variables. Zbl 0081.04401Birch, B. J.; Davenport, Harold 12 1958 On a theorem of Davenport and Heilbronn. Zbl 0082.26002Birch, B. J.; Davenport, Harold 12 1958 Indefinite quadratic forms in many variables. Zbl 0084.27201Birch, B. J.; Davenport, Harold 8 1958 Note on a theorem of Cassels. Zbl 0079.06805Davenport, Harold 5 1957 Note on irregularities of distribution. Zbl 0073.03402Davenport, Harold 40 1956 Indefinite quadratic forms in many variables. Zbl 0072.27205Davenport, Harold 13 1956 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 On a theorem of Furtwängler. Zbl 0064.04501Davenport, Harold 16 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 28 1952 The higher arithmetic. An introduction to the theory of numbers. Zbl 0049.30901Davenport, Harold 9 1952 Simultaneous Diophantine approximation. Zbl 0048.03204Davenport, Harold 7 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 70 1951 ...and 97 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,050 Authors 24 Schmidt, Wolfgang M. 22 Brüdern, Jörg 21 Dujella, Andrej 21 Luca, Florian 20 Zaharescu, Alexandru 17 Togbé, Alain 16 Bugeaud, Yann 15 Granville, Andrew James 14 Baker, Roger C. 14 Heath-Brown, Roger 14 Wooley, Trevor D. 13 Alkan, Emre 13 Browning, Timothy Daniel 13 Pintz, Janos 13 Sárközy, András 13 Shparlinski, Igor E. 13 Vaughan, Robert C. 12 Berndt, Bruce Carl 12 Fujita, Yasutsugu Fujita 12 Liu, Jianya 12 Liu, Ming-Chit 12 Lu, Guangshi 12 Soundararajan, Kannan 11 Götze, Friedrich 11 Hamidoune, Yahya Ould 10 Bhargava, Manjul 10 Ford, Kevin B. 10 Fouvry, Etienne 10 He, Bo 10 Lamzouri, Youness 10 Murty, Maruti Ram 10 Zhao, Liangyi 10 Ziegler, Volker 9 Bennett, Michael A. 9 Dobrovol’skiĭ, Nikolai Nikolaevich 9 Erdős, Pál 9 Filipin, Alan 9 Goldston, Daniel Alan 9 Kaliada, Dzianis 9 Sarnak, Peter Clive 8 Banks, William D. 8 Bravo, Jhon Jairo 8 Cipu, Mihai 8 Dietmann, Rainer 8 Hans-Gill, Rajinder J. 8 Harman, Glyn 8 Klazar, Martin 8 Knapp, Michael P. 8 Lagarias, Jeffrey C. 8 Laurinčikas, Antanas 8 Mauduit, Christian 8 Pomerance, Carl Bernard 8 Raka, Madhu 8 Ramaré, Olivier 8 Shankar, Arul 8 Sharir, Micha 8 Stewart, Cameron L. 8 Tao, Terence 8 Wood, Melanie Matchett 8 Zhang, Wenpeng 7 Chow, Sam 7 Cook, Roger J. 7 Ddamulira, Mahadi 7 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 7 Erduvan, Fatih 7 Green, Ben Joseph 7 Katz, Nicholas Michael 7 Keskin, Refik 7 Kleinbock, Dmitry Ya. 7 Konyagin, Sergeĭ Vladimirovich 7 Kułaga-Przymus, Joanna 7 Mignotte, Maurice 7 Nowak, Werner Georg 7 Perelli, Alberto 7 Pillichshammer, Friedrich 7 Roy, Damien 7 Schleischitz, Johannes 7 Taniguchi, Takashi 7 Thorne, Frank 7 Wang, Tianze 7 Wolke, Dieter 7 Yao, Weili 7 Yukie, Akihiko 7 Zaccagnini, Alessandro 6 Barnes, E. S. 6 Belabas, Karim 6 Beresnevich, Victor V. 6 Bergelson, Vitaly 6 Dumir, Vishwa Chander 6 Friedlander, John Benjamin 6 Gómez, Carlos Alexis 6 Groemer, Helmut 6 Hiary, Ghaith Ayesh 6 Katz, Daniel J. 6 Languasco, Alessandro 6 Lemańczyk, Mariusz 6 Liu, Huafeng 6 Madritsch, Manfred G. 6 Maynard, James 6 Montgomery, Hugh Lowell ...and 1,950 more Authors all top 5 Cited in 317 Serials 220 Journal of Number Theory 91 Monatshefte für Mathematik 79 Proceedings of the American Mathematical Society 75 Transactions of the American Mathematical Society 71 Mathematika 69 Mathematics of Computation 47 Journal de Théorie des Nombres de Bordeaux 44 International Journal of Number Theory 42 Inventiones Mathematicae 37 The Ramanujan Journal 34 Functiones et Approximatio. Commentarii Mathematici 34 Mathematische Annalen 33 Acta Arithmetica 33 Finite Fields and their Applications 32 Duke Mathematical Journal 30 Compositio Mathematica 29 Acta Mathematica Hungarica 28 Mathematical Notes 27 Israel Journal of Mathematics 26 Discrete Mathematics 26 Acta Mathematica 26 Advances in Mathematics 26 Mathematische Zeitschrift 25 Lithuanian Mathematical Journal 24 Mathematical Proceedings of the Cambridge Philosophical Society 24 Archiv der Mathematik 22 Rocky Mountain Journal of Mathematics 21 Annales de l’Institut Fourier 20 Journal of Combinatorial Theory. Series A 20 Bulletin of the American Mathematical Society. New Series 20 Chebyshevskiĭ Sbornik 17 Indagationes Mathematicae. New Series 17 Annals of Mathematics. Second Series 17 Acta Mathematica Sinica. English Series 16 Glasgow Mathematical Journal 16 Journal of Soviet Mathematics 16 European Journal of Combinatorics 15 Periodica Mathematica Hungarica 15 Journal of the Australian Mathematical Society 14 Journal für die Reine und Angewandte Mathematik 14 Proceedings of the Japan Academy. Series A 14 Experimental Mathematics 13 Proceedings of the Steklov Institute of Mathematics 12 Journal of the American Mathematical Society 12 Journal of Mathematical Sciences (New York) 12 Journal of the European Mathematical Society (JEMS) 12 Science China. Mathematics 12 Research in Number Theory 11 Bulletin of the Australian Mathematical Society 11 Journal d’Analyse Mathématique 11 Manuscripta Mathematica 11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Bulletin of the American Mathematical Society 10 Journal of Algebra 10 Combinatorica 10 Journal of Complexity 10 Geometric and Functional Analysis. GAFA 9 Indian Journal of Pure & Applied Mathematics 9 Journal of Mathematical Analysis and Applications 8 Discrete Applied Mathematics 8 Discrete & Computational Geometry 7 Arkiv för Matematik 7 Mathematica Slovaca 7 Michigan Mathematical Journal 7 Nagoya Mathematical Journal 7 Science in China. Series A 7 Linear Algebra and its Applications 7 The Electronic Journal of Combinatorics 7 Discrete and Continuous Dynamical Systems 7 Journal of Integer Sequences 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Czechoslovak Mathematical Journal 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Chinese Annals of Mathematics. Series B 6 Journal of Symbolic Computation 6 Aequationes Mathematicae 6 Boletín de la Sociedad Matemática Mexicana. Third Series 6 Frontiers of Mathematics in China 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 The Mathematical Intelligencer 5 Bulletin of the London Mathematical Society 5 Canadian Mathematical Bulletin 5 Journal of Functional Analysis 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Proceedings of the London Mathematical Society. Third Series 5 Theoretical Computer Science 5 Advances in Applied Mathematics 5 Ergodic Theory and Dynamical Systems 5 Forum Mathematicum 5 Journal of the Ramanujan Mathematical Society 5 Journal of Inequalities and Applications 5 Integers 5 Algebra & Number Theory 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Forum of Mathematics, Sigma 4 Communications in Mathematical Physics 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 ...and 217 more Serials all top 5 Cited in 57 Fields 1,996 Number theory (11-XX) 145 Algebraic geometry (14-XX) 144 Combinatorics (05-XX) 85 Dynamical systems and ergodic theory (37-XX) 78 Group theory and generalizations (20-XX) 55 Field theory and polynomials (12-XX) 54 Computer science (68-XX) 53 Probability theory and stochastic processes (60-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 40 Convex and discrete geometry (52-XX) 36 Information and communication theory, circuits (94-XX) 35 Numerical analysis (65-XX) 34 Measure and integration (28-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 24 Functions of a complex variable (30-XX) 21 Topological groups, Lie groups (22-XX) 21 Special functions (33-XX) 18 History and biography (01-XX) 16 Abstract harmonic analysis (43-XX) 15 Commutative algebra (13-XX) 15 Real functions (26-XX) 13 Approximations and expansions (41-XX) 11 Mathematical logic and foundations (03-XX) 11 Operator theory (47-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Partial differential equations (35-XX) 10 Functional analysis (46-XX) 10 Geometry (51-XX) 9 Ordinary differential equations (34-XX) 8 Differential geometry (53-XX) 7 General and overarching topics; collections (00-XX) 7 Associative rings and algebras (16-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Sequences, series, summability (40-XX) 5 General topology (54-XX) 5 Manifolds and cell complexes (57-XX) 5 Operations research, mathematical programming (90-XX) 4 Nonassociative rings and algebras (17-XX) 4 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-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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