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H. Davenport

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All published works
Action Title Year Authors
+ A SECOND VARIATION ON A PROBLEM OF DIOPHANTUS AND DAVENPORT 2010 Burton W. Jones
H. Davenport
+ PDF Some Diophantine Equations 2008 H. Davenport
+ Sums of Squares 2008 H. Davenport
+ Computers and Number Theory 2008 H. Davenport
+ Analytic Methods for Diophantine Equations and Diophantine Inequalities 2005 H. Davenport
T. D. Browning
+ The Functional Equation of the L Functions 1980 H. Davenport
+ Multiplicative number theory / Harold Davenport ; revised by Hugh L. Montgomery 1980 H. Davenport
+ Multiplicative Number Theory 1980 H. Davenport
+ The Prime Number Theorem for Arithmetic Progressions (I) 1980 H. Davenport
+ Primes in Arithmetic Progression: The General Modulus 1980 H. Davenport
+ Properties of the Γ Function 1980 H. Davenport
+ The Explicit Formula for Ψ(x) 1980 H. Davenport
+ Integral Functions of Order 1 1980 H. Davenport
+ The Number N(T) 1980 H. Davenport
+ Dirichlet’s Class Number Formula 1980 H. Davenport
+ Zero-Free Regions for L(s, χ) 1980 H. Davenport
+ Primes in Arithmetic Progression 1980 H. Davenport
+ Further Prime Number Sums 1980 H. Davenport
+ An Exponential Sum Formed with Primes 1980 H. Davenport
+ Bombieri’s Theorem 1980 H. Davenport
+ References to other Work 1980 H. Davenport
+ The Prime Number Theorem 1980 H. Davenport
+ Siegel’s Theorem 1980 H. Davenport
+ The PĂłlya-Vinogradov Inequality 1980 H. Davenport
+ Sums of Three Primes 1980 H. Davenport
+ Cyclotomy 1980 H. Davenport
+ The Prime Number Theorem for Arithmetic Progressions (II) 1980 H. Davenport
+ Riemann’s Memoir 1980 H. Davenport
+ The Infinite Products for ξ(s) and ξ(s, χ) 1980 H. Davenport
+ The Distribution of the Primes 1980 H. Davenport
+ A Zero-Free Region for Îś(s) 1980 H. Davenport
+ The Large Sieve 1980 H. Davenport
+ PDF A property of polynomials over a finite field 1975 H. Davenport
+ The zeros of trigonometrical polynomials 1972 H. Davenport
+ PDF Gaps between values of positive definite quadratic forms 1972 H. Davenport
D. J. Lewis
+ A determinant of linear forms 1971 H. Davenport
+ On the density of discriminants of cubic fields. II 1971 H. Davenport
H. Heilbronn
+ PDF A combinatorial problem connected with differential equations II 1971 H. Davenport
+ PDF Dirichlet's theorem on diophantine approximation. II 1970 H. Davenport
Wolfgang M. Schmidt
+ On the Density of Discriminants of Cubic Fields 1969 H. Davenport
H. Heilbronn
+ Simultaneous equations of additive type 1969 H. Davenport
D. J. Lewis
+ On the Large Sieve Method 1969 Enrico Bombieri
H. Davenport
+ PDF THE EQUATIONS 3<i>x</i><sup>2</sup>−2 = <i>y</i><sup>2</sup> AND 8<i>x</i><sup>2</sup>−7 = <i>z</i><sup>2</sup> 1969 A. Baker
H. Davenport
+ Some inequalities involving trigonometrical polynomials 1969 Enrico Bombieri
H. Davenport
+ PDF Corrigendum: ``Primes in arithmetic progression''. 1968 H. Davenport
H. Halberstam
+ A note on Thue's theorem 1968 H. Davenport
+ PDF A theorem on linear forms 1968 H. Davenport
Wolfgang M. Schmidt
+ Diophantine approximation and sums of roots of unity 1967 H. Davenport
Andrzej Schinzel
+ ON A THEOREM OF HEILBRONN 1967 H. Davenport
+ PDF Approximation to real numbers by quadratic irrationals 1967 H. Davenport
Wolfgang M. Schmidt
+ PDF Primes in arithmetic progressions. 1966 H. Davenport
H. Halberstam
+ Cubic equations of additive type 1966 H. Davenport
D. J. Lewis
+ PDF Small differences between prime numbers 1966 Enrico Bombieri
H. Davenport
+ PDF A note on certain arithmetical constants 1966 H. Davenport
Andrzej Schinzel
+ On a Theorem of Mrs TurĂĄn. II 1966 H. Davenport
+ PDF Note on an irrational power series 1966 H. Davenport
+ PDF Quadratic Diophantine equations with a parameter 1966 Andrzej Schinzel
H. Davenport
D. J. Lewis
+ On Two Problems of Mordell 1966 Enrico Bombieri
H. Davenport
+ Quelques problemes d’ approximation diophantienne 1965 H. Davenport
+ Number Theory. By J. Hunter. Pp. ix, 149. 10s. 6d. 1964. (Oliver and Boyd, University Mathematical Texts) 1965 H. Davenport
+ PDF A remark on continued fractions. 1964 H. Davenport
+ A note on Diophantine approximation (II) 1964 H. Davenport
+ PDF Polynomials of certain special types 1964 H. Davenport
D. J. Lewis
Andrzej Schinzel
+ PDF Non-Homogeneous Cubic Equations 1964 H. Davenport
D. J. Lewis
+ Homogeneous additive equations 1963 H. Davenport
D. J. Lewis
+ PDF On Weyl's criterion for uniform distribution. 1963 H. Davenport
P. Erdős
W. J. LeVeque
+ A problematic identity 1963 H. Davenport
+ Character sums and primitive roots in finite fields 1963 H. Davenport
D. J. Lewis
+ PDF An analogue of a problem of Littlewood. 1963 H. Davenport
D. J. Lewis
+ Cubic forms in sixteen variables 1963 H. Davenport
+ NOTES ON CONGRUENCES (I) 1963 H. Davenport
D. J. Lewis
+ Exponential Sums in Many Variables 1962 H. Davenport
D. J. Lewis
+ Cubic forms in 29 variables 1962 H. Davenport
+ Analytic methods for Diophantine equations and Diophantine inequalities : The University of Michigan Fall Semester, 1962 1962 H. Davenport
+ PDF Note on Weyl's inequality 1962 B. J. Birch
H. Davenport
+ A note on binary cubic forms 1961 H. Davenport
+ EQUATIONS OF THE FORM <i>f</i>(<i>x</i>)=<i>g</i>(<i>y</i>) 1961 H. Davenport
D. J. Lewis
Andrzej Schinzel
+ On a theorem of P. J. Cohen 1960 H. Davenport
+ Some Recent Progress in Analytic Number Theory 1960 H. Davenport
+ Dirichlet 1959 H. Davenport
+ Indefinite Quadratic Forms 1959 H. Davenport
David Ridout
+ Records of Proceedings at Meetings 1959 H. Davenport
+ Cubic forms in thirty-two variables 1959 H. Davenport
+ Les ĂŠquations diophantiennes Ă  plusieurs variables 1959 H. Davenport
+ Records of Proceedings at Meetings. Session November, 1957-June, 1958 1958 H. Davenport
+ Indefinite quadratic forms in many variables 1958 B. J. Birch
H. Davenport
+ Quadratic equations in several variables 1958 B. J. Birch
H. Davenport
+ PDF On a theorem of Davenport, and Heilbronn 1958 B. J. Birch
H. Davenport
+ Note on a theorem of cassels 1957 H. Davenport
+ Note on irregularities of distribution 1956 H. Davenport
+ Indefinite quadratic forms in many variables 1956 H. Davenport
+ Geometrie der Zahlen. By O. H. Keller. Enzyklopädie der Mathematischen Wissenschaften. Band 12, Heft 11, Teil III. Pp. 84. DM. 8.80. 1954. (Leipzig) 1956 H. Davenport
+ The solubility of certain Diophantine inequalities 1955 H. Davenport
K. F. Roth
+ Rational approximations to algebraic numbers 1955 H. Davenport
K. F. Roth
+ Products of Inhomogeneous Linear Forms 1955 H. Davenport
H. P. F. Swinnerton-Dyer
+ Rational approximations to algebraic numbers 1955 H. Davenport
K. F. Roth
+ On a Theorem of Furtwängler 1955 H. Davenport
+ Simultaneous Diophantine Approximation 1954 H. Davenport
+ The minimal points of a positive definite quadratic form 1954 H. Davenport
G. L. Watson
+ On the product of <i>n</i> linear forms 1953 H. Davenport
+ PDF Corrigendum: On the Class-Number of Binary Cubic Forms (I) 1952 H. Davenport
+ The Higher Arithmetic : An Introduction to the Theory of Numbers 1952 H. Davenport
+ The covering of space by spheres 1952 H. Davenport
+ Simultaneous Diophantine Approximation 1952 H. Davenport
+ LINEAR FORMS ASSOCIATED WITH AN ALGEBRAIC NUMBER-FIELD 1952 H. Davenport
+ PDF Note on Normal Decimals 1952 H. Davenport
Paul ErdĂśs
+ On the Class-Number of Binary Cubic Forms (II) 1951 H. Davenport
+ On the Class-Number of Binary Cubic Forms (I) 1951 H. Davenport
+ On a Principle of Lipschitz 1951 H. Davenport
+ PDF Euclid's algorithm in cubic fields of negative discriminant 1951 H. Davenport
+ On Sequences of Positive Integers 1951 H. Davenport
Paul ErdĂśs
+ Sums of Three Positive Cubes 1950 H. Davenport
+ Study and Research in Mathematics 1950 H. Davenport
+ Diophantine inequalities with an infinity of solutions 1950 H. Davenport
C. A. Rogers
+ (5) Waring's Problem 1950 H. Davenport
+ On a Theorem of Khintchine 1950 H. Davenport
+ INDEFINITE BINARY QUADRATIC FORMS 1950 H. Davenport
+ PDF Euclid’s algorithm in certain quartic fields 1950 H. Davenport
+ NOTE ON A BINARY QUARTIC FORM 1950 H. Davenport
+ ON THE CRITICAL DETERMINANTS OF CYLINDERS 1950 H. Davenport
C. Rogers
+ A Note on the Geometry of Numbers 1949 H. Davenport
C. A. Rogers
+ PDF On a Theorem of Tschebotareff† 1949 H. Davenport
+ On the Series for <i>L</i> (1) 1949 H. Davenport
+ PDF On The Product of Two Power Series 1949 H. Davenport
Georg PĂłlya
+ On Indefinite Ternary Quadratic Forms 1949 H. Davenport
+ Note on Indefinite Ternary Quadratic Forms 1948 H. Davenport
+ PDF Non-homogeneous ternary quadratic forms 1948 H. Davenport
+ The Geometry of Numbers 1947 H. Davenport
+ Hlawka’s theorem in the geometry of numbers 1947 H. Davenport
C. A. Rogers
+ On the product of three non-homogeneous linear forms 1947 H. Davenport
+ Asymmetric Inequalities for Non-Homogeneous Linear Forms 1947 H. Davenport
H. Heilbronn
+ On Indefinite Quadratic Forms in Five Variables 1946 H. Davenport
H. Heilbronn
+ On the Minimum of <i>x</i> <sup>3</sup> +<i>y</i> <sup>3</sup> +<i>z</i> <sup>3</sup> 1946 H. Davenport
+ Simultaneous Diophantine approximation 1946 H. Davenport
K. Mahler
+ On a Theorem of Tschebotareff 1946 H. Davenport
+ The Reduction of a Binary Cubic Form (II) 1945 H. Davenport
+ The Reduction of a Binary Cubic Form (I) 1945 H. Davenport
+ On the Minimum of a Ternary Cubic Form 1944 H. Davenport
+ The Minimum of a Binary Cubic Form 1943 H. Davenport
+ On the Product of Three Homogeneous Linear Forms. IV 1943 H. Davenport
+ On Waring's Problem for Fifth and Sixth Powers 1942 H. Davenport
+ On a conjecture of Mordell concerning binary cubic forms 1941 H. Davenport
+ Note on the Product of Three Homogeneous Linear Forms 1941 H. Davenport
+ Note on Sums of Fourth Powers 1941 H. Davenport
+ Theory of Numbers 1940 H. Davenport
+ Note on Linear Fractional Substitutions with Large Determinant 1940 H. Davenport
+ On Waring's Problem for Fourth Powers 1939 H. Davenport
+ PDF The Theory of Numbers 1939 H. Davenport
+ On Sums of Positive Integral k th Powers 1939 H. Davenport
P. Erdős
+ On sums of positive integral <i>k</i> th powers 1939 H. Davenport
+ PDF On Waring’s problem for cubes 1939 H. Davenport
+ On the Product of Three Homogeneous Linear Forms (III) 1939 H. Davenport
+ A Simple Proof of Remak's Theorem on the Product of Three Linear Forms 1939 H. Davenport
+ PDF On character sums in finite fields 1939 H. Davenport
+ MINKOWSKI'S INEQUALITY FOR THE MINIMA ASSOCIATED WITH A CONVEX BODY 1939 H. Davenport
+ Corrigenda: On the Product of Three Homogeneous Linear Forms (II) 1939 H. Davenport
+ On the Product of Three Homogeneous Linear Forms 1938 H. Davenport
+ Note on a Result in the Additive Theory of Numbers 1938 H. Davenport
H. Heilbronn
+ On the Product of Three Homogeneous Linear Forms (II) 1938 H. Davenport
+ On Waring's Problem : Two Cubes and One Square 1938 H. Davenport
H. Heilbronn
+ Note on an identity connected with diophantine approximation 1938 H. Davenport
+ ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II) 1937 H. Davenport
+ ON PRIMITIVE ROOTS IN FINITE FIELDS 1937 H. Davenport
+ On the Zeros of Certain Dirichlet Series 1936 H. Davenport
H. Heilbronn
+ On the Zeros of Certain Dirichlet Series 1936 H. Davenport
H. Heilbronn
+ The Meromorphisms of an Elliptic Function-Field 1936 H. Davenport
+ On an Exponential Sum 1936 H. Davenport
H. Heilbronn
+ On Waring's Problem for Fourth Powers 1936 H. Davenport
H. Heilbronn
+ PDF On sequences of positive integers 1936 H. Davenport
Paul ErdĂśs
+ Note on Mean-Value Theorems for the Riemann Zeta-Function 1935 H. Davenport
+ Note on mean-value Theorems for the Riemann Zeta-Function 1935 H. Davenport
+ On certain exponential sums. 1933 H. Davenport
+ PDF On a Generalization of Euler's Function φ(<i>n</i> )‡ 1933 H. Davenport
+ On the Distribution of Quadratic Residues (mod <i>p</i> ) 1933 H. Davenport
+ On the Distribution of <i>l</i> -th Power Residues (mod <i>p</i> ) 1932 H. Davenport
+ On Dirichlet's <i>L</i> -Functions 1931 H. Davenport
+ On the Distribution of Quadratic Residues (mod <i>p</i> ) 1931 H. Davenport
Common Coauthors
Coauthor Papers Together
D. J. Lewis 12
H. Heilbronn 10
Andrzej Schinzel 5
Enrico Bombieri 4
B. J. Birch 4
C. A. Rogers 3
K. F. Roth 3
Wolfgang M. Schmidt 3
Paul ErdĂśs 3
P. Erdős 2
H. Halberstam 2
Burton W. Jones 1
G. L. Watson 1
T. D. Browning 1
H. P. F. Swinnerton-Dyer 1
C. Rogers 1
K. Mahler 1
A. Baker 1
Georg PĂłlya 1
W. J. LeVeque 1
David Ridout 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Bounds for the least solutions of homogeneous quadratic equations 1955 J. W. S. Cassels
 5
+ PDF On Waring’s problem for cubes 1939 H. Davenport
 4
+ Indefinite quadratic forms in many variables 1956 H. Davenport
 4
+ Homogeneous forms of odd degree in a large number of variables 1957 B. J. Birch
 4
+ On Waring's Problem for Fourth Powers 1939 H. Davenport
 3
+ On the large sieve 1965 Enrico Bombieri
 3
+ Forms in many variables 1962 B. J. Birch
 3
+ Linear forms in the logarithms of algebraic numbers 1966 A. Baker
 2
+ Quadratic equations in several variables 1958 B. J. Birch
H. Davenport
 2
+ PDF Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes 1923 G. H. Hardy
J. E. Littlewood
 2
+ ON PRIMITIVE ROOTS IN FINITE FIELDS 1937 H. Davenport
 2
+ PDF On Weyl's inequality and Waring's problem for cubes 1961 S. Chowla
Hunter Davenport
 2
+ On a conjecture of Mordell concerning binary cubic forms 1941 H. Davenport
 2
+ On Waring's Problem for Fifth and Sixth Powers 1942 H. Davenport
 2
+ On the Product of Three Homogeneous Linear Forms. IV 1943 H. Davenport
 2
+ Some problems of ?Partitio numerorum? (VI): Further researches in Waring's Problem 1925 G. H. Hardy
J. E. Littlewood
 2
+ Zur additiven Zahlentheorie. II. 1936 Arnold Walfisz
 2
+ An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford) 1946 T. A. A. B.
 2
+ PDF The analytic principle of the large sieve 1978 Hugh L. Montgomery
 1
+ LINEAR FORMS ASSOCIATED WITH AN ALGEBRAIC NUMBER-FIELD 1952 H. Davenport
 1
+ On Lattice Points in a Hyperbolic Cylinder 1948 P. Varnavides
 1
+ A Simple Proof of Siegel's Theorem 1974 Dorian Goldfeld
 1
+ On Character Sums and <i>L</i> -Series. II 1963 D. A. Burgess
 1
+ On Indefinite Quadratic Forms in Five Variables 1946 H. Davenport
H. Heilbronn
 1
+ On the Product of Three Homogeneous Linear Forms (III) 1939 H. Davenport
 1
+ On the Rationality of the Zeta Function of an Algebraic Variety 1960 Bernard Dwork
 1
+ The Product of <i>n</i> Inhomogeneous Linear Forms in <i>n</i> Variables 1952 J. W. S. Cassels
 1
+ PDF VALUES OF QUADRATIC FORMS (I) 1953 A. Oppenheim
 1
+ On the equation ax2+by2?cz2=0 1951 L. J. Mordell
 1
+ On Character Sums and Primitive Roots<sup>†</sup> 1962 D. A. Burgess
 1
+ Mean Value Theorems in Prime Number Theory 1975 R. C. Vaughan
 1
+ The Construction of Decimals Normal in the Scale of Ten 1933 D. G. Champernowne
 1
+ Some Series Involving Euler's Function 1927 Devon Ward
 1
+ A THEOREM ON STAR DOMAINS 1947 J. W. S. Cassels
 1
+ Studies in the Theory of Numbers. 1933 A. J. Kempner
Leonard E. Dickson
 1
+ On the Least Residue and Non-Residue of a Polynomial 1963 L. J. Mordell
 1
+ The Product of Three Homogeneous Linear Ternary Forms 1942 L. J. Mordell
 1
+ PDF Irrational power series. III 1965 L. J. Mordell
 1
+ On the Distribution of Quadratic Residues (mod <i>p</i> ) 1931 H. Davenport
 1
+ PDF Some conjectures about cyclotomic integers 1965 Raphael M. Robinson
 1
+ Indefinite Quadratic Forms in <i>n</i> Variables 1948 Hugh Blaney
 1
+ On a result of Marshall Hall 1956 J. W. S. Cassels
 1
+ On irregularities of distribution 1954 K. F. Roth
 1
+ PDF Some theorems and conjectures in diophantine equations 1960 Serge Lang
 1
+ Cubic forms in 29 variables 1962 H. Davenport
 1
+ ON THE CLASS-NUMBER IN IMAGINARY QUADRATIC FIELDS 1934 H. Heilbronn
 1
+ On the product of three homogeneous linear forms and indefinite ternary quadratic forms 1955 J. W. S. Cassels
H. P. F. Swinnerton-Dyer
 1
+ ON THE IMAGINARY QUADRATIC CORPORA OF CLASS-NUMBER ONE 1934 H. Heilbronn
E. H. Linfoot
 1
+ The large sieve 1967 P. X. Gallagher
 1
+ PDF Small differences between prime numbers 1966 Enrico Bombieri
H. Davenport
 1