Harold Davenport
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English Mathematician
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Harold Davenportmathematics Degrees
Mathematics
#263
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Number Theory
#20
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Measure Theory
#313
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Mathematics
Why Is Harold Davenport Influential?
(Suggest an Edit or Addition)According to Wikipedia, Harold Davenport FRS was an English mathematician, known for his extensive work in number theory. Early life Born on 30 October 1907 in Huncoat, Lancashire, Davenport was educated at Accrington Grammar School, the University of Manchester , and Trinity College, Cambridge. He became a research student of John Edensor Littlewood, working on the question of the distribution of quadratic residues.
Harold Davenport's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Multiplicative Number Theory (1967) (2426)
- Perturbation theory of Kepler motion based on spinor regularization. (1965) (656)
- Rational approximations to algebraic numbers (1955) (399)
- On the density of discriminants of cubic fields. II (1971) (328)
- THE EQUATIONS 3x2−2 = y2 AND 8x2−7 = z2 (1969) (303)
- On the Density of Discriminants of Cubic Fields (1969) (243)
- On a Principle of Lipschitz (1951) (213)
- ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II) (1937) (191)
- On the Zeros of Certain Dirichlet Series (1936) (174)
- On the Addition of Residue Classes (1935) (147)
- The Higher Arithmetic: An Introduction to the Theory of Numbers (1952) (146)
- A Combinatorial Problem Connected with Differential Equations (1965) (145)
- On Indefinite Quadratic Forms in Five Variables (1946) (116)
- Approximation to real numbers by algebraic integers (1969) (116)
- The Higher Arithmetic (1954) (113)
- A Historical Note (1947) (107)
- Homogeneous additive equations (1963) (93)
- EQUATIONS OF THE FORM f(x)=g(y) (1961) (89)
- Approximation to real numbers by quadratic irrationals (1967) (84)
- Cubic forms in sixteen variables (1963) (83)
- On sequences of positive integers (1936) (82)
- Bases for Finite Fields (1968) (82)
- Note on Normal Decimals (1952) (80)
- Dirichlet's theorem on diophantine approximation. II (1970) (78)
- On Weyl's criterion for uniform distribution. (1963) (76)
- On certain exponential sums. (1933) (76)
- Note on irregularities of distribution (1956) (72)
- On the Class‐Number of Binary Cubic Forms (II) (1951) (69)
- ON PRIMITIVE ROOTS IN FINITE FIELDS (1937) (66)
- On The Product of Two Power Series (1949) (64)
- Simultaneous equations of additive type (1969) (64)
- On the Distribution of Quadratic Residues (mod p) (1931) (64)
- On Waring's Problem for Fourth Powers (1939) (63)
- Cubic forms in thirty-two variables (1959) (62)
- On Waring’s problem for cubes (1939) (57)
- Indefinite quadratic forms in many variables (1956) (56)
- ON A THEOREM OF HEILBRONN (1967) (54)
- Small differences between prime numbers (1966) (53)
- The values of a trigonometrical polynomial at well spaced points (1966) (51)
- Analytic Methods for Diophantine Equations and Diophantine Inequalities: Introduction (1962) (51)
- Character sums and primitive roots in finite fields (1963) (45)
- Hlawka’s theorem in the geometry of numbers (1947) (43)
- A note on Stokes's stream function for motion with a spherical boundary (1953) (41)
- A combinatorial problem connected with differential equations II (1971) (41)
- Corrigenda: On the Product of Three Homogeneous Linear Forms (II) (1938) (39)
- On an Exponential Sum (1936) (39)
- The solubility of certain Diophantine inequalities (1955) (37)
- Note on a Result in the Additive Theory of Numbers (1938) (36)
- Cubic equations of additive type (1966) (35)
- Analytic methods for Diophantine equations and Diophantine inequalities : The University of Michigan Fall Semester, 1962 (1962) (34)
- NOTES ON CONGRUENCES (I) (1963) (34)
- Simultaneous Diophantine Approximation (1946) (33)
- Indefinite Quadratic Forms in Many Variables (II) (1958) (32)
- A note on Diophantine approximation (II) (1964) (31)
- On a Theorem of Furtwängler (1955) (31)
- Polynomials of certain special types (1964) (30)
- The covering of space by spheres (1952) (30)
- Note on the Product of Three Homogeneous Linear Forms (1941) (30)
- On character sums in finite fields (1939) (29)
- On the Large Sieve Method (1969) (28)
- Corrigendum: On the Class‐Number of Binary Cubic Forms (I) (1952) (28)
- Indefinite Binary Quadratic Forms, and Euclid's Algorithm in Real Quadratic Fields (1951) (27)
- On a theorem of Davenport, and Heilbronn (1958) (26)
- Primes in arithmetic progressions.Corrigendum: ``Primes in arithmetic progression''. (1966) (24)
- Non-homogeneous ternary quadratic forms (1948) (24)
- On a theorem of P. J. Cohen (1960) (23)
- On sums of positive integral kth powers (1939) (23)
- A theorem on linear forms (1968) (23)
- Quadratic equations in several variables (1958) (23)
- On Indefinite Ternary Quadratic Forms (1949) (21)
- On the Product of Three Homogeneous Linear Forms. IV (1943) (21)
- On Waring's Problem : Two Cubes and One Square (1938) (21)
- A Simple Proof of Remak's Theorem on the Product of Three Linear Forms (1939) (20)
- On the Distribution of the Convergents of Almost All Real Numbers (1969) (19)
- Sums of Three Positive Cubes (1950) (19)
- Non‐Homogeneous Cubic Equations (1964) (19)
- ON TWO PROBLEMS OF MORDELL. (1966) (19)
- Asymmetric Inequalities for Non‐Homogeneous Linear Forms (1947) (19)
- Note on a theorem of cassels (1957) (18)
- Some inequalities involving trigonometrical polynomials (1969) (18)
- A note on binary cubic forms (1961) (18)
- An analogue of a problem of Littlewood. (1963) (18)
- MINKOWSKI'S INEQUALITY FOR THE MINIMA ASSOCIATED WITH A CONVEX BODY (1939) (18)
- The Collected Works Of Harold Davenport (1977) (16)
- On the Minimum of a Ternary Cubic Form (1944) (16)
- Exponential Sums in Many Variables (1962) (16)
- Note on a result of Siegel (1936) (16)
- Euclid's algorithm in cubic fields of negative discriminant (1951) (15)
- Indefinite Quadratic Forms (1958) (14)
- Euclid's Algorithm in real Quadratic Fields (1950) (14)
- The Reduction of a Binary Cubic Form (I) (1945) (14)
- LINEAR FORMS ASSOCIATED WITH AN ALGEBRAIC NUMBER-FIELD (1952) (14)
- On Waring's Problem for Fifth and Sixth Powers (1942) (13)
- Two Problems Concerning Polynomials. (1964) (13)
- Cubic forms over algebraic number fields (1963) (13)
- Cubic forms in 29 variables (1962) (13)
- Quadratic Diophantine equations with a parameter (1966) (13)
- On Dirichlet's L‐Functions (1931) (12)
- Euclid’s algorithm in certain quartic fields (1950) (12)
- Homogeneous quadratic equations (1971) (12)
- On a Generalization of Euler's Function φ(n) (1932) (12)
- A note on Thue's theorem (1968) (12)
- Corrigendum and addendum (1967) (11)
- On a Theorem of Tschebotareff (1946) (11)
- On the Distribution of l‐th Power Residues (mod p) (1932) (10)
- On a Theorem of Khintchine (1950) (10)
- Gaps between values of positive definite quadratic forms (1972) (10)
- A note on certain arithmetical constants (1966) (9)
- Diophantine inequalities with an infinity of solutions (1950) (9)
- INDEFINITE BINARY QUADRATIC FORMS (1950) (9)
- On the product of three non-homogeneous linear forms (1947) (8)
- Corrigendum: ``Primes in arithmetic progression''. (1968) (8)
- On the product of n linear forms (1953) (8)
- The minimal points of a positive definite quadratic form (1954) (8)
- On Weyl's inequality and Waring's problem for cubes (1961) (8)
- Note on Mean‐Value Theorems for the Riemann Zeta‐Function (1935) (7)
- A remark on continued fractions. (1964) (7)
- ON THE EQUATION ax2+by2+cz2=0 (1948) (7)
- The Geometry of Numbers (1947) (6)
- Note on Linear Fractional Substitutions with Large Determinant (1940) (6)
- Note on Weyl's inequality (1962) (6)
- Dirichlet (1959) (6)
- The Meromorphisms of an Elliptic Function-Field (1936) (5)
- ON THE CRITICAL DETERMINANTS OF CYLINDERS (1950) (5)
- The Covering of n-Dimensional Space by Spheres (1952) (5)
- A Note on the Geometry of Numbers (1949) (5)
- On the Series for L(1) (1949) (5)
- Diophantine approximation and sums of roots of unity (1967) (5)
- Uniform distribution relative to a fixed sequence. (1963) (4)
- Products of Inhomogeneous Linear Forms (1955) (4)
- Note on an irrational power series (1966) (4)
- On the minimum of a bilinear form (1947) (4)
- Note on an identity connected with diophantine approximation (1938) (3)
- On the Minimum of x3+y3+z3 (1946) (3)
- The zeros of trigonometrical polynomials (1972) (3)
- The Minimum of a Binary Cubic Form (1943) (2)
- On a Theorem of Markoff (1947) (2)
- Quelques problemes d’ approximation diophantienne (1965) (2)
- NOTE ON A BINARY QUARTIC FORM (1950) (1)
- Some Recent Progress in Analytic Number Theory (1960) (1)
- A determinant of linear forms (1971) (1)
- NOTES ON A RESULT OF CHALK (1952) (1)
- Study and Research in Mathematics (1950) (1)
- On a conjecture of Mordell concerning binary cubic forms (1941) (1)
- (5) Waring's Problem (1950) (1)
- Bounded representations of the positive values of an indefinite quadratic form (1958) (1)
- On a Generalozation of Euker's Function (n) (1932) (1)
- Note on Sums of Fourth Powers (1941) (1)
- Note on Indefinite Ternary Quadratic Forms (1948) (1)
- A. E. Ingham (1967) (0)
- Dr. A. E. Western (1961) (0)
- Two statements concerning the article on G. H. Hardy (1949) (0)
- A property of polynomials over a finite field (1975) (0)
- The London Mathematical Society (1965) (0)
- (1) Elementary Number Theory (2) Modern Elementary Theory of Numbers (1940) (0)
- A THEOREM ON UNIFORM DISTRIBUTION by (0)
- The Theory of Numbers (1939) (0)
- A DIVISOR PROBLEM (1949) (0)
- W. E. H. Berwick (1946) (0)
- Corrigendum to Two problems concerning polynomials (1965) (0)
- NOTES ON CONGRUENCES (II) (1963) (0)
- On a Theorem of Mrs Turán. II (1966) (0)
- On a Theorem of Mrs Turán (1965) (0)
- Prof. W. E. H. Berwick (1944) (0)
- On the Representation of Positive Integers as Sums of Three Cubes of Positive Rational Numbers (1969) (0)
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