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 916 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 Debrecen 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 99 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 198 Publications have been cited 2,995 times in 2,443 Documents Cited by ▼ Year ▼ Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. Zbl 0453.10002Davenport, Harold 253 1980 Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001Davenport, Harold 217 2000 The equations \(3x^2 - 2 = y^2\) and \(8x^2 - 7 = z^2\). Zbl 0177.06802Baker, A.; Davenport, Harold 175 1969 On the density of discriminants of cubic fields. II. Zbl 0212.08101Davenport, Harold; Heilbronn, H. 133 1971 Multiplicative number theory. Zbl 0159.06303Davenport, Harold 78 1967 Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen Fällen. JFM 60.0913.01Davenport, H.; Hasse, H. 78 1934 On the addition of residue classes. Zbl 0010.38905Davenport, Harold 74 1935 On a principle of Lipschitz. Zbl 0042.27504Davenport, Harold 74 1951 On some infinite series involving arithmetical functions. II. JFM 63.0906.01Davenport, H. 55 1937 On indefinite quadratic forms in five variables. Zbl 0060.11914Davenport, Harold; Heilbronn, H. 53 1946 A combinatorial problem connected with differential equations. Zbl 0132.00601Davenport, Harold; Schinzel, Andrzej 48 1965 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. 41 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 Approximation to real numbers by algebraic integers. Zbl 0186.08603Davenport, Harold; Schmidt, Wolfgang M. 38 1969 On the class-number of binary cubic forms. I, II. Zbl 0044.27002Davenport, Harold 36 1951 On the addition of residue classes. JFM 61.0149.02Davenport, Harold 35 1935 Homogeneous additive equations. Zbl 0118.28002Davenport, Harold; Lewis, D. J. 33 1963 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 33 2005 On the zeros of certain Dirichlet series. Zbl 0014.21601Davenport, Harold; Heilbronn, H. 30 1936 Note on normal decimals. Zbl 0046.04902Davenport, Harold; Erdős, Pál 30 1952 Bases for finite fields. Zbl 0159.33901Davenport, Harold 29 1968 On some infinite series involving arithmetical functions. II. Zbl 0017.39101Davenport, Harold 29 1937 A historical note. Zbl 0029.34401Davenport, Harold 28 1947 On certain exponential sums. JFM 59.0370.03Davenport, H. 26 1933 Cubic forms in thirty-two variables. Zbl 0084.27202Davenport, Harold 25 1959 Approximation to real numbers by quadratic irrationals. Zbl 0155.09503Davenport, Harold; Schmidt, Wolfgang M. 25 1967 On the zeros of certain Dirichlet series. JFM 62.0138.01Davenport, H.; Heilbronn, H. 25 1936 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 Waring’s problem for cubes. Zbl 0021.10601Davenport, Harold 23 1939 Character sums and primitive roots in finite fields. Zbl 0119.04302Davenport, Harold; Lewis, D. J. 22 1963 Equations of the form \(f(x) = g(y)\). Zbl 0121.28403Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 22 1961 The solubility of certain Diophantine inequalities. Zbl 0066.29301Davenport, Harold; Roth, Klaus F. 22 1955 On the product of two power series. Zbl 0037.32505Davenport, Harold; Pólya, George 22 1949 The distribution of quadratic and higher residues. Zbl 0050.04302Davenport, Harold; Erdős, Pál 22 1953 Indefinite quadratic forms in many variables. II. Zbl 0078.03901Davenport, Harold 19 1958 A note on diophantine approximation. II. Zbl 0122.05903Davenport, Harold 18 1964 Notes on congruences. I. Zbl 0113.26704Davenport, Harold; Lewis, D. J. 17 1963 A combinatorial problem connected with differential equations. II. Zbl 0216.30204Davenport, Harold 17 1971 The value of a trigonometrical polynomial at well spaced points. Zbl 0171.00902Davenport, Harold; Halberstam, H. 16 1966 On a theorem of Furtwängler. Zbl 0064.04501Davenport, Harold 16 1955 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 Analytic methods for Diophantine equations and Diophantine inequalities. The University of Michigan, Fall Semester, 1962. Zbl 1089.11500Davenport, Harold 15 1963 On sequences of positive integers. Zbl 0043.04902Davenport, Harold; Erdős, Pál 15 1951 On \(f^3(t)-g^2(t)\). Zbl 0136.25204Davenport, Harold 14 1965 On some infinite series involving arithmetical functions. JFM 63.0134.05Davenport, H. 14 1937 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 14 1934 Note on a result in the additive theory of numbers. Zbl 0016.34806Davenport, Harold; Heilbronn, H. 14 1937 On Waring’s problem for fourth powers. JFM 65.1149.02Davenport, H. 13 1939 Indefinite quadratic forms in many variables. Zbl 0072.27205Davenport, Harold 13 1956 Corrigendum on a principle of Lipschitz. Zbl 0125.02703Davenport, Harold 13 1964 Primes in arithmetic progressions. Zbl 0171.00901Davenport, Harold; Halberstam, H. 13 1966 On the zeros of certain Dirichlet series. II. Zbl 0015.19802Davenport, Harold; Heilbronn, H. 13 1936 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 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 Non-homogeneous cubic equations. Zbl 0125.02402Davenport, Harold; Lewis, D. J. 12 1964 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 Polynomials of certain special types. Zbl 0126.27801Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 11 1964 Cubic equations of additive type. Zbl 0227.10038Davenport, Harold; Lewis, D. J. 11 1966 On primitive roots in finite fields. JFM 63.0905.03Davenport, H. 11 1937 On primitive roots in finite fields. Zbl 0018.10901Davenport, Harold 11 1937 The higher arithmetic. An introduction to the theory of numbers. Chapter VIII by J. H. Davenport. 7th ed. Zbl 0958.11002Davenport, H. 10 1999 The addition of norm forms. Zbl 0105.02804Birch, B. J.; Davenport, Harold; Lewis, D. J. 10 1962 Über numeri abundantes. JFM 59.0948.04Davenport, H. 10 1933 On some infinite series involving arithmetical functions. Zbl 0016.20105Davenport, Harold 10 1937 On character sums in finite fields. Zbl 0021.20202Davenport, Harold 10 1939 A note on binary cubic forms. Zbl 0104.04001Davenport, Harold 9 1961 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 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 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 A theorem on linear forms. Zbl 0179.07303Davenport, Harold; Schmidt, Wolfgang M. 8 1968 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 8 2008 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 Some inequalities involving trigonometrical polynomials. Zbl 0186.08201Bombieri, E.; Davenport, Harold 7 1969 Dirichlet’s theorem on Diophantine approximation. Zbl 0226.10032Davenport, Harold; Schmidt, Wolfgang M. 7 1970 On an exponential sum. JFM 62.0178.01Davenport, H.; Heilbronn, H. 7 1936 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 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 On the zeros of certain Dirichlet series. JFM 62.1145.03Davenport, H.; Heilbronn, H. 6 1936 Über numeri abundantes. JFM 60.0146.02Davenport, H. 6 1933 On the distribution of quadratic residues (mod \(p\)). JFM 57.0213.03Davenport, H. 6 1931 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 8 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 33 2005 Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. Zbl 1002.11001Davenport, Harold 217 2000 The higher arithmetic. An introduction to the theory of numbers. Chapter VIII by J. H. Davenport. 7th ed. Zbl 0958.11002Davenport, H. 10 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 253 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. 133 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. 7 1970 The equations \(3x^2 - 2 = y^2\) and \(8x^2 - 7 = z^2\). Zbl 0177.06802Baker, A.; Davenport, Harold 175 1969 Approximation to real numbers by algebraic integers. Zbl 0186.08603Davenport, Harold; Schmidt, Wolfgang M. 38 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 78 1967 Approximation to real numbers by quadratic irrationals. Zbl 0155.09503Davenport, Harold; Schmidt, Wolfgang M. 25 1967 On a theorem of Heilbronn. Zbl 0155.37701Davenport, Harold 9 1967 Diophantine approximation and sums of roots of unity. Zbl 0139.27702Davenport, Harold; Schinzel, Andrzej 2 1967 Corrigendum and Addendum. Zbl 0171.01001Davenport, Harold; Halberstam, H. 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. 16 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 Notes on congruences. III. Zbl 0144.03902Davenport, Harold; Lewis, D. J. 2 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 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 48 1965 On \(f^3(t)-g^2(t)\). Zbl 0136.25204Davenport, Harold 14 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 Non-homogeneous cubic equations. Zbl 0125.02402Davenport, Harold; Lewis, D. J. 12 1964 Polynomials of certain special types. Zbl 0126.27801Davenport, Harold; Lewis, D. J.; Schinzel, Andrzej 11 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. 41 1963 Homogeneous additive equations. Zbl 0118.28002Davenport, Harold; Lewis, D. J. 33 1963 Character sums and primitive roots in finite fields. Zbl 0119.04302Davenport, Harold; Lewis, D. J. 22 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 22 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 25 1959 Indefinite quadratic forms. Zbl 0091.04605Davenport, Harold; Ridout, D. 8 1959 Indefinite quadratic forms in many variables. II. Zbl 0078.03901Davenport, Harold 19 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 22 1953 On the product of \(n\) linear forms. Zbl 0051.03504Davenport, Harold 3 1953 Note on normal decimals. Zbl 0046.04902Davenport, Harold; Erdős, Pál 30 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 74 1951 ...and 98 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,144 Authors 27 Luca, Florian 25 Togbé, Alain 24 Schmidt, Wolfgang M. 22 Brüdern, Jörg 22 Dujella, Andrej 21 Zaharescu, Alexandru 17 Bugeaud, Yann 16 Granville, Andrew James 14 Baker, Roger C. 14 Fujita, Yasutsugu Fujita 14 Heath-Brown, Roger 14 Wooley, Trevor D. 13 Alkan, Emre 13 Berndt, Bruce Carl 13 Browning, Timothy Daniel 13 Liu, Jianya 13 Lu, Guangshi 13 Pintz, Janos 13 Sárközy, András 13 Shparlinski, Igor E. 13 Vaughan, Robert C. 12 Liu, Ming-Chit 12 Soundararajan, Kannan 11 Bhargava, Manjul 11 Fouvry, Etienne 11 Götze, Friedrich 11 Hamidoune, Yahya Ould 11 Keskin, Refik 11 Lamzouri, Youness 11 Zhao, Liangyi 10 Erduvan, Fatih 10 Filipin, Alan 10 Ford, Kevin B. 10 He, Bo 10 Murty, Maruti Ram 10 Sarnak, Peter Clive 10 Ziegler, Volker 9 Bennett, Michael A. 9 Bravo, Jhon Jairo 9 Cipu, Mihai 9 Dobrovol’skiĭ, Nikolai Nikolaevich 9 Erdős, Pál 9 Goldston, Daniel Alan 9 Kaliada, Dzianis 9 Knapp, Michael P. 9 Mauduit, Christian 9 Rihane, Salah Eddine 9 Schleischitz, Johannes 9 Shankar, Arul 8 Banks, William David 8 Dietmann, Rainer 8 Gómez, Carlos Alexis 8 Hans-Gill, Rajinder J. 8 Harman, Glyn 8 Klazar, Martin 8 Kleinbock, Dmitry Ya. 8 Kułaga-Przymus, Joanna 8 Lagarias, Jeffrey C. 8 Laurinčikas, Antanas 8 Pomerance, Carl Bernard 8 Raka, Madhu 8 Ramaré, Olivier 8 Roy, Damien 8 Sharir, Micha 8 Stewart, Cameron L. 8 Tao, Terence 8 Thorne, Frank 8 Wood, Melanie Matchett 8 Zaccagnini, Alessandro 8 Zhang, Wenpeng 7 Bergelson, Vitaly 7 Chow, Sam 7 Cook, Roger J. 7 Ddamulira, Mahadi 7 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 7 Green, Ben Joseph 7 Katz, Nicholas Michael 7 Konyagin, Sergeĭ Vladimirovich 7 Mignotte, Maurice 7 Nowak, Werner Georg 7 Perelli, Alberto 7 Pillichshammer, Friedrich 7 Şiar, Zafer 7 Taniguchi, Takashi 7 Wang, Tianze 7 Wolke, Dieter 7 Yao, Weili 7 Yukie, Akihiko 6 Alon, Noga M. 6 Barnes, E. S. 6 Belabas, Karim 6 Beresnevich, Victor V. 6 Cochrane, Todd 6 de la Bretèche, Régis 6 Dumir, Vishwa Chander 6 Friedlander, John Benjamin 6 Groemer, Helmut 6 Hiary, Ghaith Ayesh 6 Kátai, Imre 6 Katz, Daniel J. ...and 2,044 more Authors all top 5 Cited in 329 Serials 224 Journal of Number Theory 94 Monatshefte für Mathematik 81 Proceedings of the American Mathematical Society 79 Transactions of the American Mathematical Society 71 Mathematika 70 Mathematics of Computation 51 International Journal of Number Theory 50 Journal de Théorie des Nombres de Bordeaux 43 Inventiones Mathematicae 43 The Ramanujan Journal 35 Acta Arithmetica 35 Functiones et Approximatio. Commentarii Mathematici 35 Finite Fields and their Applications 34 Duke Mathematical Journal 34 Mathematische Annalen 31 Acta Mathematica Hungarica 30 Compositio Mathematica 29 Mathematical Notes 28 Mathematische Zeitschrift 27 Israel Journal of Mathematics 27 Advances in Mathematics 26 Discrete Mathematics 26 Lithuanian Mathematical Journal 26 Acta Mathematica 25 Mathematical Proceedings of the Cambridge Philosophical Society 24 Archiv der Mathematik 23 Rocky Mountain Journal of Mathematics 21 Annales de l’Institut Fourier 21 Journal of Combinatorial Theory. Series A 20 Bulletin of the American Mathematical Society. New Series 20 Chebyshevskiĭ Sbornik 18 Periodica Mathematica Hungarica 18 Acta Mathematica Sinica. English Series 17 Indagationes Mathematicae. New Series 17 Annals of Mathematics. Second Series 16 Glasgow Mathematical Journal 16 Journal of Soviet Mathematics 16 European Journal of Combinatorics 15 Experimental Mathematics 15 Journal of the Australian Mathematical Society 14 Journal für die Reine und Angewandte Mathematik 14 Proceedings of the Japan Academy. Series A 13 Journal of Mathematical Sciences (New York) 13 Proceedings of the Steklov Institute of Mathematics 13 Research in Number Theory 12 Journal d’Analyse Mathématique 12 Journal of the American Mathematical Society 12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 12 Journal of the European Mathematical Society (JEMS) 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Science China. Mathematics 11 Bulletin of the Australian Mathematical Society 11 Manuscripta Mathematica 11 Combinatorica 11 Bulletin of the American Mathematical Society 11 Algebra & Number Theory 10 Journal of Algebra 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 Czechoslovak Mathematical Journal 8 Mathematica Slovaca 8 Nagoya Mathematical Journal 8 Discrete & Computational Geometry 8 Boletín de la Sociedad Matemática Mexicana. Third Series 7 Arkiv för Matematik 7 Michigan Mathematical Journal 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Science in China. Series A 7 Aequationes Mathematicae 7 Linear Algebra and its Applications 7 The Electronic Journal of Combinatorics 7 Discrete and Continuous Dynamical Systems 7 Journal of Integer Sequences 7 Forum of Mathematics, Sigma 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Canadian Mathematical Bulletin 6 Chinese Annals of Mathematics. Series B 6 Journal of Symbolic Computation 6 Journal of the Ramanujan Mathematical Society 6 Integers 6 Frontiers of Mathematics in China 5 Acta Mathematica Academiae Scientiarum Hungaricae 5 The Mathematical Intelligencer 5 Bulletin of the London Mathematical Society 5 Journal of Functional Analysis 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Proceedings of the London Mathematical Society. Third Series 5 Results in Mathematics 5 Theoretical Computer Science 5 Advances in Applied Mathematics 5 Ergodic Theory and Dynamical Systems 5 Forum Mathematicum 5 Taiwanese Journal of Mathematics 5 Journal of Inequalities and Applications 5 Mediterranean Journal of Mathematics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Communications in Algebra ...and 229 more Serials all top 5 Cited in 57 Fields 2,097 Number theory (11-XX) 153 Algebraic geometry (14-XX) 150 Combinatorics (05-XX) 91 Dynamical systems and ergodic theory (37-XX) 78 Group theory and generalizations (20-XX) 56 Field theory and polynomials (12-XX) 56 Probability theory and stochastic processes (60-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 55 Computer science (68-XX) 41 Convex and discrete geometry (52-XX) 37 Measure and integration (28-XX) 36 Information and communication theory, circuits (94-XX) 35 Numerical analysis (65-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 24 Functions of a complex variable (30-XX) 23 Special functions (33-XX) 21 Topological groups, Lie groups (22-XX) 19 History and biography (01-XX) 16 Real functions (26-XX) 16 Abstract harmonic analysis (43-XX) 15 Commutative algebra (13-XX) 13 Approximations and expansions (41-XX) 12 Operator theory (47-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Mathematical logic and foundations (03-XX) 11 Partial differential equations (35-XX) 11 Geometry (51-XX) 11 Quantum theory (81-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Functional analysis (46-XX) 10 Differential geometry (53-XX) 9 Ordinary differential equations (34-XX) 8 Associative rings and algebras (16-XX) 7 General and overarching topics; collections (00-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) 3 Biology and other natural sciences (92-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) 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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