+
|
Adiabatic Invariance III: The Equation x=−Vx(x, ω)
|
2000
|
J. E. Littlewood
|
+
|
Some problems of ‘Partitio Numerorum’: IV. The singular series in Waring’s Problem and the value of the number G (k)
|
1982
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
The quickest proof of the prime number theorem
|
1971
|
J. E. Littlewood
|
+
|
The “pits effect” for functions in the unit circle
|
1970
|
J. E. Littlewood
|
+
|
On the probability in the tail of a binomial distribution
|
1969
|
J. E. Littlewood
|
+
|
The “Pits Effect” for the Integral Function $$f\left( z \right) = \sum {\exp \left\{ { - {\vartheta ^{ - 1}}\left( {n\log n - n} \right) + \pi i\alpha {n^2}} \right\}{z^n},\alpha = \tfrac{1}{2}\left( {\sqrt 5 - 1} \right)} $$
|
1969
|
J. E. Littlewood
|
+
|
On the probability in the tail of a binomial distribution
|
1969
|
J. E. Littlewood
|
+
|
A Ballistic Paradox
|
1968
|
J. E. Littlewood
|
+
|
A “ Pits Effect ” for all Smooth Enough Integral Functions with a Coefficient Factor exp(<i>n</i> <sup>2</sup> απ<i>i</i> ), α = ½(√5−1)
|
1968
|
J. E. Littlewood
|
+
|
A Theorem About Successive Derivatives of a Function and Some Tauberian Theorems
|
1967
|
J. E. Littlewood
|
+
|
Unbounded Solutions of an Equation ÿ+<i>g{y)</i> =<i>p(t)</i> , with <i>p(t)</i> Periodic and Bounded, and <i>g(y)</i> /<i>y</i> → ∞ as <i>y</i> →±∞
|
1966
|
J. E. Littlewood
|
+
|
On Linear Differential Equations of the Second Order with a Strongly Oscillating Coefficient of <i>y</i>
|
1966
|
J. E. Littlewood
|
+
|
Unbounded Solutions of ÿ + <i>g(y)</i> = <i>p{t)</i>
|
1966
|
J. E. Littlewood
|
+
|
The Real Zeros and Value Distributions of Real Trigonometrical Polynomials
|
1966
|
J. E. Littlewood
|
+
|
On Polynomials ∑±nzm,∑eαminzm,z=e0i
|
1966
|
J. E. Littlewood
|
+
|
Adiabatic invariance V: Multiple periods
|
1964
|
J. E. Littlewood
|
+
|
Adiabatic invariance III: The equation x = −Vx (x, ω)
|
1964
|
J. E. Littlewood
|
+
|
On the Real Roots of Real Trigonometrical Polynomials (II)
|
1964
|
J. E. Littlewood
|
+
PDF
|
On the mean values of certain trigonometrical polynomials II
|
1962
|
J. E. Littlewood
|
+
|
A Theorem on Trigonometrical Series with Σ(|<i>a<sub>m</sub> </i> |+|<i>b<sub>m</sub> </i> |) Convergent, with an Application to a Convergence Problem
|
1962
|
J. E. Littlewood
|
+
|
On the Mean Values of Certain Trigonometrical Polynomials
|
1961
|
J. E. Littlewood
|
+
|
On the Inequalities between Functions <i>f</i> and <i>f</i> <sup>*</sup>
|
1960
|
J. E. Littlewood
|
+
PDF
|
On the Equilateral Configuration in the Restricted Problem of Three Bodies
|
1960
|
J. E. Littlewood
|
+
|
On the Number of Stable Periods of a Differential Equation of the van der Pol Type
|
1960
|
J. E. Littlewood
|
+
|
On the Equilateral Configuration in the Restricted Problem of Three Bodies
|
1959
|
J. E. Littlewood
|
+
PDF
|
On non-linear differential equations of the second order: III. The equation $\ddot y - k(1 - y^2 )\dot y + y = b \mu k cos (\mu t + \alpha )$ for large k, and its generalizationsfor large k, and its generalizations
|
1957
|
J. E. Littlewood
|
+
PDF
|
On non-linear differential equations of the second order. III. The equation $\ddot y - k\left( {1 - y^2 } \right)\dot y + y = b\mu k$ cos (μt+α) for large k, and its generalizationscos (μt+α) for large k, and its generalizations
|
1957
|
J. E. Littlewood
|
+
PDF
|
On non-linear differential equations of the second order: IV. The general equation $\ddot y + kf\left( y \right)\dot y + g\left( y \right) = bkp\left( \varphi \right)$ , φ=t+α, φ=t+α
|
1957
|
J. E. Littlewood
|
+
|
On a Theorem of Paley
|
1954
|
J. E. Littlewood
|
+
|
On some Conjectural Inequalities, with Applications to the Theory of Integral Functions
|
1952
|
J. E. Littlewood
|
+
|
Some Fixed Point Theorems
|
1951
|
M. L. Cartwright
J. E. Littlewood
|
+
|
Errata: Zeros and a-Values of a Random Integral Function
|
1949
|
J. E. Littlewood
A. C. Offord
|
+
|
Addendum to 'On Non-Linear Differential Equations of the Second Order, II'
|
1949
|
M. L. Cartwright
J. E. Littlewood
|
+
PDF
|
Two statements concerning the article on G. H. Hardy
|
1949
|
J. E. Littlewood
G. Pólya
L. J. Mordell
E. C. Titchmarsh
H. Davenport
Norbert Wiener
|
+
|
Errata: On Non-Linear Differential Equations of the Second Order
|
1948
|
M. L. Cartwright
J. E. Littlewood
|
+
|
On the Distribution of Zeros and a-Values of a Random Integral Function (II)
|
1948
|
J. E. Littlewood
A. C. Offord
|
+
|
A New Proof of a Theorem on Rearrangements
|
1948
|
G. H. Hardy
J. E. Littlewood
|
+
|
On Non-Linear Differential Equations of the Second Order: II. The Equation .. y &nbsp; + kf(y, . y &nbsp; + g(y, k) = p(t) = p 1 (t) + kp 2 (t); k > 0, f(y) > 1
|
1947
|
M. L. Cartwright
J. E. Littlewood
|
+
|
Notes on the theory of series (XXIV): a curious power-series
|
1946
|
G. H. Hardy
J. E. Littlewood
|
+
|
On the Distribution of the Zeros and α-Values of a Random Integral Function (I)
|
1945
|
J. E. Littlewood
A. C. Offord
|
+
|
On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − <i>k</i> (1-<i>y</i> <sup>2</sup> )y˙ + <i>y</i> = <i>b</i> λ<i>k</i> cos(λ<i>l</i> + α), <i>k</i> Large
|
1945
|
M. L. Cartwright
J. E. Littlewood
|
+
|
Note on the theory of series (XXIII): On the partial sums of Fourier series
|
1944
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (XXII)<sup>*</sup> : On the Tauberian Theorem for Borel Summability
|
1943
|
G. H. Hardy
J. E. Littlewood
|
+
|
Records of Proceedings at Meetings
|
1942
|
G. H. Hardy
J. E. Littlewood
|
+
|
Mathematical Notes (14): “Every Polynomial has a Root”
|
1941
|
J. E. Littlewood
|
+
|
THEOREMS CONCERNING MEAN VALUES OF ANALYTIC OR HARMONIC FUNCTIONS
|
1941
|
G. H. Hardy
J. E. Littlewood
|
+
|
On the number of real roots of a random algebraic equation. II
|
1939
|
J. E. Littlewood
A. C. Offord
|
+
|
On the Number of Real Roots of a Random Algebraic Equation
|
1938
|
J. E. Littlewood
A. C. Offord
|
+
|
Mathematical Notes (14): On a Theorem of Hardy and Littlewood
|
1938
|
J. E. Littlewood
|
+
|
ON THE COEFFICIENTS OF SCHLICHT FUNCTIONS
|
1938
|
J. E. Littlewood
|
+
|
Some Remarkable Approximate Formulae Arising in Ballistics
|
1938
|
E. T. Littlewood
J. E. Littlewood
|
+
|
Theorems on Fourier Series and Power Series(III)
|
1938
|
J. E. Littlewood
R. E. A. C. Paley
|
+
|
Mathematical Notes (12): An Inequality for a Sum of Cosines
|
1937
|
J. E. Littlewood
|
+
|
Mathematical Notes (12): An Inequality for a Sum of Cosines
|
1937
|
J. E. Littlewood
|
+
|
Theorems on Fourier Series and Power Series (II)<sup>†</sup>
|
1937
|
J. E. Littlewood
R. E. A. C. Paley
|
+
|
NOTES ON THE THEORY OF SERIES (XX): GENERALIZATIONS OF A THEOREM OF PALEY
|
1937
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some more theorems concerning Fourier series and Fourier power series
|
1936
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (XX): On Lambert Series
|
1936
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some inequalities satisfied by the integrals or derivatives of real or analytic functions
|
1935
|
G. H. Hardy
Edmund Landau
J. E. Littlewood
|
+
|
Notes on the Theory of Series (XVIII): on the Convergence of Fourier Series
|
1935
|
G. H. Hardy
J. E. Littlewood
|
+
|
NOTES ON THE THEORY OF SERIES (XIX): A PROBLEM CONCERNING MAJORANTS OF FOURIER SERIES
|
1935
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
The strong summability of Fourier series
|
1935
|
G. Hardy
J. E. Littlewood
|
+
|
1104. A problem in elementary probability
|
1934
|
G. H. Hardy
J. E. Littlewood
|
+
|
Theorems Concerning Cesàro Means of Power Series
|
1934
|
G. H. Hardy
J. E. Littlewood
|
+
|
BILINEAR FORMS BOUNDED IN SPACE [<i>p, q</i>]
|
1934
|
G. H. Hardy
J. E. Littlewood
|
+
|
An additional note on Parseval's theorem
|
1932
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some new cases of Parseval's theorem
|
1932
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some properties of fractional integrals. II
|
1932
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (XVII) : Some New Convergence Criteria for Fourier Series
|
1932
|
G. H. Hardy
J. E. Littlewood
|
+
|
A Proof That An Odd Schlicht Function Has Bounded Coefficients
|
1932
|
J. E. Littlewood
E. A. C. Paley
|
+
|
SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS
|
1932
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some properties of conjugate functions.
|
1932
|
J. E. Littlewood
G. H. Hardy
|
+
|
Notes on the Theory of Series (XV): On the Series Conjugate to the Fourier Series of a Bounded Function
|
1931
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (XVI): Two Tauberian Theorems
|
1931
|
G. H. Hardy
J. E. Littlewood
|
+
|
Theorems on Fourier Series and Power Series
|
1931
|
J. E. Littlewood
R. E. A. C. Paley
|
+
|
Notes on the Theory of Series (XIV): An Additional Note on the Summability of Fourier Series
|
1931
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants
|
1931
|
G. H. Hardy
J. E. Littlewood
|
+
|
Mathematical Notes (9): On Functions Subharmonic in a Circle (III)
|
1931
|
J. E. Littlewood
|
+
|
Mathematical Notes (13): On Mean Values of Power Sereis (II)
|
1930
|
J. E. Littlewood
|
+
|
Mathematical Notes (11): On Exeptional Values of Power Series
|
1930
|
J. E. Littlewood
|
+
|
Notes on the Theory of Series (XII): On Certain Inequalities Connected with the Calculus of Variations
|
1930
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (XI): On Tauberian Theorems
|
1930
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
A maximal theorem with function-theoretic applications
|
1930
|
G. H. Hardy
J. E. Littlewood
|
+
|
ON BOUNDED BILINEAR FORMS IN AN INFINITE NUMBER OF VARIABLES
|
1930
|
J. E. Littlewood
|
+
|
A Point in the Theory of Conjugate Functions
|
1929
|
G. H. Hardy
J. E. Littlewood
|
+
|
Mathematical Notes(10): On a Theorem of Zygmund
|
1929
|
J. E. Littlewood
|
+
|
A Point in the Theory of Conjugate Functions
|
1929
|
G. H. Hardy
J. E. Littlewood
|
+
|
Collected Papers of Srinivasa Ramanujan. Edited by G. H. Hardy, P. V. Seshu Aigar, and B. M. Wilson Pp. xxxvi + 355. 30s. net. 1927.(Cam. Univ. Press.)
|
1929
|
J. E. Littlewood
|
+
|
The Approximate Functional Equations for ζ(s) and ζ<sup>2</sup> (s)
|
1929
|
G. H. Hardy
J. E. Littlewood
|
+
|
A convergence criterion for Fourier series
|
1928
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some properties of fractional integrals. I.
|
1928
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (IX) : On the Absolute Convergence of Fourier Series
|
1928
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (X) : Some More Inequalities
|
1928
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (VIII): An Inequality
|
1928
|
G. H. Hardy
J. E. Littlewood
|
+
|
A Theorem in the Theory of Summable Divergent Series
|
1928
|
G. H. Hardy
J. E. Littlewood
|
+
|
Mathematical Notes (8); On Functions Subharmonic in a Circle (II)
|
1928
|
J. E. Littlewood
|
+
|
On the Class-Number of the Corpus <i>P</i> (√−<i>k</i> )
|
1928
|
J. E. Littlewood
|
+
|
Notes on the Theory of Series (VII): On Young's Convergence Criterion for Fourier Series
|
1928
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some Problems of “Partitio Numerorum” (VIII): The Number Γ(<i>k</i> ) in Waring's Problem
|
1928
|
G. H. Hardy
J. E. Littlewood
|
+
|
Mathematical Notes (5): On the Function 1/ζ(1+<i>ti</i> )
|
1928
|
J. E. Littlewood
|
+
|
Examples in infinite series : with solutions
|
1928
|
Eyiah-Bediako Francis
J. E. Littlewood
|
+
|
Some new properties of fourier constants
|
1927
|
G. H. Hardy
J. E. Littlewood
|
+
|
Mathematical Notes (6): On the Definition of a Subharmonic Function
|
1927
|
J. E. Littlewood
|
+
|
Mathematical Notes (7): On Functions Subharmonic in a Circle
|
1927
|
J. E. Littlewood
|
+
|
Mathematical Notes (4): On a Theorem of Fatou
|
1927
|
J. E. Littlewood
|
+
|
Notes on the Theory of Series (VI) : Two Inequalities
|
1927
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the theory of series (III): On the summability of the Fourier series of a nearly continuous function
|
1927
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (V) : On Parseval's Theorem
|
1927
|
G. H. Hardy
J. E. Littlewood
|
+
|
Notes on the Theory of Series (IV): On the Strong Summability of Fourier Series
|
1927
|
G. H. Hardy
J. E. Littlewood
|
+
|
Mathematical Notes: 3; on a Theorem Concerning the Distribution of Prime Numbers
|
1927
|
J. E. Littlewood
|
+
|
Elementary theorems concerning power series with positive coefficients and moment constants of positive functions.
|
1927
|
J. E. Littlewood
G. H. Hardy
|
+
|
Mathematical Notes: (1); on Transfinite Cardinals
|
1926
|
J. E. Littlewood
|
+
|
Mathematical Notes : 2; on a Theorem of Kolmogoroff
|
1926
|
J. E. Littlewood
|
+
|
Notes on the Theoey of Series-II: The Fourier Series of a Positive Function
|
1926
|
G. H. Hardy
J. E. Littlewood
|
+
|
On the Riemann Zeta-Function
|
1926
|
J. E. Littlewood
|
+
|
The Maximum of a Certain Bilinear Form
|
1926
|
G. H. Hardy
J. E. Littlewood
Georg Pólya
|
+
|
A Further Note on the Converse of Abel's Theorem
|
1926
|
G. H. Hardy
J. E. Littlewood
|
+
|
The Allied Series of a Fourier Series
|
1926
|
G. H. Hardy
J. E. Littlewood
|
+
|
On the Mean Values of Power Series
|
1926
|
J. E. Littlewood
|
+
|
Two Theorems Concerning Fourier Series
|
1926
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Some problems of diophantine approximation: An additional note on the trigonometrical series associated with the elliptic theta-functions
|
1926
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some problems of ?Partitio numerorum? (VI): Further researches in Waring's Problem
|
1925
|
G. H. Hardy
J. E. Littlewood
|
+
|
On Inequalities in the Theory of Functions
|
1925
|
J. E. Littlewood
|
+
|
Solution of the Ces�ro summability problem for power-series and Fourier series
|
1924
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some problems of diophantine approximation: The analytic character of the sum of a dirichlet’ s series considered by hecke
|
1924
|
G. H. Hardy
J. E. Littlewood
|
+
|
Two notes on the Riemann Zeta-function
|
1924
|
J. E. Littlewood
|
+
|
On the zeros of the Riemann zeta-function
|
1924
|
J. E. Littlewood
|
+
|
Some Problems of “Partitio Numerorum”(V): A Further Contribution to the Study of Goldbach's Problem
|
1924
|
G. H. Hardy
J. E. Littlewood
|
+
|
Abel's Theorem and its Converse (II)
|
1924
|
G. H. Hardy
J. E. Littlewood
|
+
|
The Approximate Functional Equation in the Theory of the Zeta-Function, with Applications to the Divisor-Problems of Dirichlet and Piltz
|
1923
|
G. H. Hardy
J. E. Littlewood
|
+
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
|
+
PDF
|
Some problems of Diophantine approximation: The lattice-points of a right-angled triangle. (Second memoir.)
|
1922
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Some Problems of Diophantine Approximation: The Lattice-Points of a Right-Angled Triangle
|
1922
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some problems of ‘Partitio Numerorum’: IV. The singular series in Waring’s Problem and the value of the number G (k)
|
1922
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
The zeros of Riemann's zeta-function on the critical line
|
1921
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Some problems of ?partitio numerorum?: II. Proof that every large number is the sum of at most 21 biquadrates
|
1921
|
G. H. Hardy
J. E. Littlewood
|
+
|
On a Tauberian Theorem for Lambert's Series, and Some Fundamental Theorems in the Analytic Theory of Numbers
|
1921
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Abel's Theorem and its Converse
|
1920
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some problems of 'Partitio numerorum'; I: A new solution of Waring`s problem
|
1920
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Theorems concerning the summability of series by boreľs exponential method
|
1916
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some Problems of Diophantine Approximation
|
1916
|
G. H. Hardy
J. E. Littlewood
|
+
|
Some Problems of Diophantine Approximation
|
1916
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Erratum: 'Some problems of diophantine approximation’, Acta Mathematica, vol. 37
|
1916
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes
|
1916
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Some problems of diophantine approximation: Part II. The trigonometrical series associated with the elliptic ϑ-functions
|
1914
|
G. H. Hardy
J. E. Littlewood
|
+
|
Tauberian Theorems Concerning Power Series and Dirichlet's Series whose Coefficients are Positive<sup>*</sup>
|
1914
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
Some problems of diophantine approximation: Part I. The fractional part of nkθ
|
1914
|
G. H. Hardy
J. E. Littlewood
|
+
|
Contributions to the Arithmetic Theory of Series
|
1913
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
The Relations Between Borel's and Cesàro's Methods of Summation
|
1913
|
G. H. Hardy
J. E. Littlewood
|
+
PDF
|
The Converse of Abel's Theorem on Power Series
|
1911
|
J. E. Littlewood
|
+
PDF
|
On a Class of Conditionally Convergent Infinite Products
|
1910
|
J. E. Littlewood
|
+
PDF
|
On the Dirichlet Series and Asymptotic Expansions of Integral Functions of Zero Order
|
1909
|
J. E. Littlewood
|
+
PDF
|
A General Theorem on Integral Functions of Finite Order
|
1908
|
J. E. Littlewood
|
+
|
On the Asymptotic Approximation to Functions defined by Highly-convergent Product-forms
|
1908
|
J. E. Littlewood
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PDF
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On the Asymptotic Approximation to Integral Functions of Zero Order
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1907
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J. E. Littlewood
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