Tauberian Theorems Concerning Power Series and Dirichlet's Series whose Coefficients are Positive<sup>*</sup>

G. H. Hardy, J. E. Littlewood

Type: Article

Publication Date: 1914-01-01

Citations: 161

DOI: https://doi.org/10.1112/plms/s2-13.1.174

View Publication

Locations

Proceedings of the London Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Tauberian Theorems for Abstract Dirichlet's Series, with Applications to the Lp Spaces	1953	D. C. J. Burgess
+	Notes on the Theory of Series (XI): On Tauberian Theorems	1930	G. H. Hardy J. E. Littlewood
+	ON A TAUBERIAN THEOREM CONCERNING DIRICHLET'S SERIES WITH POSITIVE COEFFICIENTS	1931	K. Ananda‐Rau
+	Some Theorems on Dirichlet Series with Positive Coefficients and Realted Integrals	1929	H. Mulholland
+	Notes on the Theory of Series (XXII)<sup>*</sup> : On the Tauberian Theorem for Borel Summability	1943	G. H. Hardy J. E. Littlewood
+	Notes on the Theory of Series (XVI): Two Tauberian Theorems	1931	G. H. Hardy J. E. Littlewood
+	A tauberian theorem on dirichlet series	1973	H. Onishi
+	An Extension of a Tauberian Theorem on Series with Positive Terms	1934	S. Bochner
+	Extension to Other Series of Abel's and Tauber's Theorems on Power Series	1926	Alfred Kienast
+	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
+	A Note on “Positive” Tauberian Theorems	1950	C. T. Rajagopal
+	Tauberian and Summability Theorems on Dirichlet's Series	1935	V. Ganapathy Iyer
+	Harmonic Functions and Tauberian Theorems	1960	F. W. Gehring
+	Theorems on Fourier Series and Power Series (II)<sup>†</sup>	1937	J. E. Littlewood R. E. A. C. Paley
+	Tauberian theorems concerning power series with non-negative coefficients	1992	David Borwein
+	General Tauberian Theorems	1938	H. R. Pitt
+	Note on a Property of Dirichlet's Series	1921	K. Ananda‐Rau
+	Some Quantitiative Tauberian Theorems For Power Series	1988	Thomas Ransford
+	On Tauberian Theorems	1965	A. E. Ingham
+	Theorems on Power Series and Fourier Series	1951	Hung Ching Chow

Works That Cite This (116)

Action	Title	Year	Authors
+	H	1989	Michiel Hazewinkel
+	Alternative proofs of some classical type Tauberian theorems for the Cesàro summability of integrals	2011	İbrahi̇m Çanak Ümi̇t Totur
+	On Uniform Tauberian Theorems for Dynamic Games	2014	Dmitry Khlopin
+	Über eine spezielle Folge von Polynomen	1959	Lothar Berg
+	Some Tauberian theorems for the weighted mean methods of summability	2011	İbrahi̇m Çanak Ümi̇t Totur
+ PDF Chat	On asymptotics for lacunary partition functions	2024	Alexander E. Patkowski
+	Explicit Tauberian estimates for functions with positive coefficients	1992	Andrew Odlyzko
+ PDF Chat	Two-Term Spectral Asymptotics for the Dirichlet Pseudo-Relativistic Kinetic Energy Operator on a Bounded Domain	2018	Sebastian Gottwald
+	A uniform Tauberian theorem in dynamic games	2017	Dmitry Khlopin
+	Some Tauberian theorems for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mrow><mml:mo>(</mml:mo><mml:mi>A</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>C</mml:mi><mml:mo>,</mml:mo><mml:mi>α</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> summability method	2010	İbrahi̇m Çanak Yılmaz Erdem Ümi̇t Totur

Works Cited by This (0)

Action	Title	Year	Authors