John Edensor Littlewood
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English mathematician
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John Edensor Littlewoodmathematics Degrees
Mathematics
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Complex Analysis
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Number Theory
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Measure Theory
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Mathematics
Why Is John Edensor Littlewood Influential?
(Suggest an Edit or Addition)According to Wikipedia, John Edensor Littlewood was a British mathematician. He worked on topics relating to analysis, number theory, and differential equations and had lengthy collaborations with G. H. Hardy, Srinivasa Ramanujan and Mary Cartwright.
John Edensor Littlewood'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
- Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes (1923) (920)
- Some properties of fractional integrals. I. (1928) (878)
- Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes (1916) (590)
- On the Number of Real Roots of a Random Algebraic Equation (1938) (363)
- A maximal theorem with function-theoretic applications (1930) (341)
- On Inequalities in the Theory of Functions (304)
- Inequalities (Cambridge Mathematical Library) (1934) (282)
- Collected Papers of Srinivasa Ramanujan (1929) (268)
- Some problems in real and complex analysis (1968) (267)
- ON BOUNDED BILINEAR FORMS IN AN INFINITE NUMBER OF VARIABLES (266)
- On Non‐Linear Differential Equations of the Second Order: I. the Equation y¨ − k(1‐y2)y˙ + y = bλk cos(λl + α), k Large (1945) (246)
- Theorems on Fourier Series and Power Series (II) (1937) (227)
- Theorems on Fourier Series and Power Series (1931) (209)
- Some new properties of fourier constants (1927) (199)
- Some problems of diophantine approximation (1914) (197)
- A mathematician's miscellany (1954) (191)
- On the Class-Number of the Corpus P(√−k) (191)
- Some properties of fractional integrals. II (1932) (171)
- Tauberian Theorems Concerning Power Series and Dirichlet's Series whose Coefficients are Positive* (166)
- Some properties of conjugate functions. (1932) (142)
- The zeros of Riemann's zeta-function on the critical line (1921) (132)
- A convergence criterion for Fourier series (1928) (118)
- BILINEAR FORMS BOUNDED IN SPACE [p, q] (1934) (117)
- Some Problems of Diophantine Approximation: The Lattice-Points of a Right-Angled Triangle (115)
- Lectures on the theory of functions (1945) (115)
- Some problems of diophantine approximation (113)
- The Converse of Abel's Theorem on Power Series (99)
- Some Fixed Point Theorems (1951) (95)
- On Polynomials ∑ ±nzm,∑ eαminzm,z=e0i (1966) (94)
- Notes on the Theory of Series (XII): On Certain Inequalities Connected with the Calculus of Variations (94)
- On Non-Linear Differential Equations of the Second Order: II. The Equation .. y + kf(y, . y + g(y, k) = p(t) = p 1 (t) + kp 2 (t); k > 0, f(y) > 1 (1947) (91)
- THEOREMS CONCERNING MEAN VALUES OF ANALYTIC OR HARMONIC FUNCTIONS (1941) (89)
- Contributions to the Arithmetic Theory of Series (85)
- SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS (1932) (84)
- Some problems of 'Partitio numerorum'; I: A new solution of Waring`s problem (80)
- The Approximate Functional Equation in the Theory of the Zeta-Function, with Applications to the Divisor-Problems of Dirichlet and Piltz (80)
- Some Problems of “Partitio Numerorum”(V): A Further Contribution to the Study of Goldbach's Problem (79)
- Some problems of ‘Partitio numerorum’ (VI): Further researches in Waring's Problem (1925) (77)
- On the Distribution of Zeros and a-Values of a Random Integral Function (II) (1948) (75)
- On the zeros of the Riemann zeta-function (1924) (75)
- Some problems of Diophantine approximation: The lattice-points of a right-angled triangle. (Second memoir.) (1922) (75)
- Some more theorems concerning Fourier series and Fourier power series (1936) (70)
- Elementary theorems concerning power series with positive coefficients and moment constants of positive functions. (66)
- On the Distribution of the Zeros and α-Values of a Random Integral Function (I) (1945) (64)
- The strong summability of Fourier series (1935) (63)
- Some Problems of Diophantine Approximation: A Remarkable Trigonometrical Series. (1916) (61)
- Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants (1931) (57)
- NOTES ON THE THEORY OF SERIES (XIX): A PROBLEM CONCERNING MAJORANTS OF FOURIER SERIES (1935) (56)
- The Maximum of a Certain Bilinear Form (54)
- A Further Note on the Converse of Abel's Theorem (53)
- Some inequalities satisfied by the integrals or derivatives of real or analytic functions (1935) (51)
- A New Proof of a Theorem on Rearrangements (1948) (51)
- Lorentz's pendulum problem (1963) (50)
- The “pits effect” for functions in the unit circle (1970) (50)
- A Theorem on Power Series (49)
- 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 largek, and its generalizationsfor largek, and its generalizations (1957) (49)
- Some problems of ‘Partitio Numerorum’: IV. The singular series in Waring’s Problem and the value of the number G (k) (1922) (48)
- Solution of the Cesàro summability problem for power-series and Fourier series (1924) (48)
- Unbounded Solutions of ÿ + g(y) = p{t) (1966) (47)
- The Approximate Functional Equations for ζ(s) and ζ2(s) (47)
- On the Mean Values of Certain Trigonometrical Polynomials (1961) (47)
- Unbounded Solutions of an Equation ÿ+g{y)=p(t), with p(t) Periodic and Bounded, and g(y)/y → ∞ as y→±∞ (1966) (45)
- Some new convergence criteria for Fourier series (1934) (44)
- Notes on the theory of series (XXIV): a curious power-series (1946) (42)
- 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 (1949) (42)
- Mathematical Notes (8); On Functions Subharmonic in a Circle (II) (41)
- On the probability in the tail of a binomial distribution (1969) (40)
- A Proof That An Odd Schlicht Function Has Bounded Coefficients (1932) (36)
- Theorems concerning the summability of series by boreľs exponential method (1916) (36)
- Notes on the Theory of Series (XI): On Tauberian Theorems (36)
- On the Equilateral Configuration in the Restricted Problem of Three Bodies (1959) (35)
- NOTES ON THE THEORY OF SERIES (XX): GENERALIZATIONS OF A THEOREM OF PALEY (1937) (35)
- The Lagrange Configuration in Celestial Mechanics (1959) (32)
- Mathematical Notes (4): On a Theorem of Fatou (1927) (31)
- On the Asymptotic Approximation to Integral Functions of Zero Order (29)
- Notes on the Theory of Series (VII): On Young's Convergence Criterion for Fourier Series (29)
- The Real Zeros and Value Distributions of Real Trigonometrical Polynomials (1966) (27)
- Some Problems of “Partitio Numerorum” (VIII): The Number Γ(k) in Waring's Problem (25)
- Notes on the Theory of Series (XX): On Lambert Series (1936) (25)
- ON THE FOURIER COEFFICIENTS OF FUNCTIONS OF BOUNDED VARIATION (1936) (24)
- Notes on the Theory of Series (XVI): Two Tauberian Theorems (1931) (24)
- Some problems of “partitio numerorum”: II. Proof that every large number is the sum of at most 21 biquadrates (1921) (22)
- Two Theorems Concerning Fourier Series (22)
- On a Theorem of Paley (1954) (22)
- Addendum to 'On Non-Linear Differential Equations of the Second Order, II' (1949) (22)
- On some Conjectural Inequalities, with Applications to the Theory of Integral Functions (1952) (21)
- Notes on the Theory of Series (XVII) : Some New Convergence Criteria for Fourier Series (1932) (21)
- Errata: On Non-Linear Differential Equations of the Second Order (1948) (21)
- Note on the theory of series (XXIII): On the partial sums of Fourier series (1944) (21)
- On the Real Roots of Real Trigonometrical Polynomials (II) (1964) (20)
- Notes on the Theory of Series (IV): On the Strong Summability of Fourier Series (20)
- ON THE COEFFICIENTS OF SCHLICHT FUNCTIONS (1938) (19)
- Some new cases of Parseval's theorem (1932) (19)
- The Allied Series of a Fourier Series (19)
- Abel's Theorem and its Converse (17)
- Some problems of diophantine approximation: The analytic character of the sum of a dirichlet’ s series considered by hecke (1924) (17)
- On a Hardy-Littlewood problem of diophantine approximation (1939) (17)
- Some problems of ‘Partitio Numerorum’: IV. The singular series in Waring's Problem and the value of the numberG(k) (17)
- Mathematical Notes (7): On Functions Subharmonic in a Circle (1927) (17)
- Mathematical Notes (14): “Every Polynomial has a Root” (1941) (17)
- On the mean values of certain trigonometrical polynomials II (1962) (16)
- Mathematical Notes (12): An Inequality for a Sum of Cosines (1937) (16)
- Mathematical Notes (5): On the Function 1/ζ(1+ti) (16)
- Notes on the Theory of Series (XV): On the Series Conjugate to the Fourier Series of a Bounded Function (1931) (15)
- On a Tauberian Theorem for Lambert's Series, and Some Fundamental Theorems in the Analytic Theory of Numbers (15)
- Notes on the Theory of Series (VIII): An Inequality (1928) (15)
- Notes on the Theory of Series (IX) : On the Absolute Convergence of Fourier Series (1928) (14)
- A General Theorem on Integral Functions of Finite Order (14)
- Notes on the Theory of Series (XVIII): on the Convergence of Fourier Series (1935) (14)
- ADIABATIC INVARIANCE. IV. NOTE ON A NEW METHOD FOR LORENTZ'S PENDULUM PROBLEM (1964) (13)
- Collected papers of G. H. Hardy : including joint papers with J. E. Littlewood and others (1966) (13)
- Abel's Theorem and its Converse (II) (13)
- Theorems Concerning Cesàro Means of Power Series (1934) (13)
- On the Riemann Zeta‐Function (12)
- On the Mean Values of Power Series (11)
- On lindelöfs hypothesis concerning the riemann zeta-function (1923) (11)
- The Relations Between Borel's and Cesàro's Methods of Summation (11)
- Some problems of diophantine approximation: An additional note on the trigonometrical series associated with the elliptic theta-functions (1926) (8)
- Mathematical Notes (13): On Mean Values of Power Sereis (II) (1930) (8)
- Adiabatic invariance II. Elliptic motion about a slowly varying center of force (1964) (8)
- Errata: Zeros and a-Values of a Random Integral Function (1949) (8)
- Examples in infinite series : with solutions (8)
- A “ Pits Effect ” for all Smooth Enough Integral Functions with a Coefficient Factor exp(n2απi), α = ½(√5−1) (1968) (7)
- Mathematical Notes (11): On Exeptional Values of Power Series (1930) (7)
- On the Number of Stable Periods of a Differential Equation of the van der Pol Type (1960) (7)
- Notes on the Theory of Series (XXII): On the Tauberian Theorem for Borel Summability (1943) (7)
- Mathematical Notes (6): On the Definition of a Subharmonic Function (1927) (6)
- On the Inequalities between Functions f and f (1960) (6)
- The mathematician’s art of work (1978) (6)
- Notes on the Theory of Series (V) : On Parseval's Theorem (6)
- A Theorem in the Theory of Summable Divergent Series (6)
- The elements of the theory of real functions : being notes of lectures delivered in the University of Cambridge, 1925 (6)
- Notes on the Theoey of Series—II: The Fourier Series of a Positive Function (1926) (5)
- Adiabatic invariance III: The equation x = −Vx (x, ω) (1964) (5)
- The quickest proof of the prime number theorem (1971) (5)
- Some Problems of Diophantine Approximation: The Series Σ e (λn) and the Distribution of the Points (λn α) (1917) (5)
- On Linear Differential Equations of the Second Order with a Strongly Oscillating Coefficient of y (1966) (5)
- Mathematical Notes: 3; on a Theorem Concerning the Distribution of Prime Numbers (4)
- On a Class of Conditionally Convergent Infinite Products (4)
- A Theorem About Successive Derivatives of a Function and Some Tauberian Theorems (1967) (4)
- Newton and the Attraction of a Sphere (1948) (3)
- Practical Chess Endings (1974) (3)
- Notes on the Theory of Series (VI) : Two Inequalities (1927) (3)
- Adiabatic invariance V: Multiple periods (1964) (3)
- Notes on the Theory of Series (X) : Some More Inequalities (1928) (3)
- Some Remarkable Approximate Formulae Arising in Ballistics (1938) (2)
- An additional note on Parseval's theorem (1932) (2)
- Notes on the Theory of Series (XIV): An Additional Note on the Summability of Fourier Series (1931) (2)
- Note on the Preceding Paper (1935) (2)
- Mathematical Notes : 2; on a Theorem of Kolmogoroff (1926) (2)
- An inequality (1936) (2)
- Notes on the theory of series (III): On the summability of the Fourier series of a nearly continuous function (1927) (2)
- A Theorem on Trigonometrical Series with Σ(|am|+|bm|) Convergent, with an Application to a Convergence Problem (1962) (2)
- Trajectories of small horizontal velocity in a resisting medium (1924) (2)
- A Point in the Theory of Conjugate Functions (1929) (1)
- The “Pits Effect” for the Integral Functionf\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) (1)
- Mathematical Notes: (1); on Transfinite Cardinals (1926) (1)
- On the Dirichlet Series and Asymptotic Expansions of Integral Functions of Zero Order (1)
- Large Numbers (1948) (0)
- Inequalities Ed. 1st (0)
- Mathematical Notes (14): On a Theorem of Hardy and Littlewood (1938) (0)
- Mathematical Notes(10): On a Theorem of Zygmund (1929) (0)
- l'Some problems of diophantine approximation’, acta mathematica (0)
- The Society’s notes (1978) (0)
- A Ballistic Paradox (1968) (0)
- Some Problems of Diophantine Approximation: The Series Sigma e (lambdan) and the Distribution of the Points (lambdan alpha). (0)
- 999 Putnam Exam Problems' Solutions (0)
- ALGEBRAIC POLYNOMIALS WITH INTEGER COEFFICIENTS DEVIATING LITTLE FROM ZERO ON AN (0)
- “Back to 1941” (1964) (0)
- 1104. A problem in elementary probability (1934) (0)
- Records of Proceedings at Meetings: Thursday, 10 June, 1926. (1926) (0)
- Return to 1941 (1962) (0)
- Two statements concerning the article on G. H. Hardy (1949) (0)
- Some Problems of Diophantine Approximation The Series and the Distribution of the Points (1916)(en)( (0)
- 1164. Three curious results (1935) (0)
- Experiment and the Teaching of Mechanics (1948) (0)
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