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E. C. Titchmarsh

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Edward Charles Titchmarsh (1899–1963) was a British mathematician widely recognized for his contributions to analytic number theory and Fourier analysis. He authored classic texts such as “The Theory of the Riemann Zeta-Function,” “The Theory of Functions,” and “Introduction to the Theory of Fourier Integrals,” which have had significant influence on modern analysis. Titchmarsh served as the Savilian Professor of Geometry at the University of Oxford and was known for his rigorous and elegant style of mathematical writing.

All published works
Action Title Year Authors
+ The Zeta function of Riemann 2013 E. C. Titchmarsh
+ The Theory of the Riemann Zeta-Function 1987 E. C. Titchmarsh
D. R. Heath‐Brown
+ Introduction to the theory of fourier integrals / by E.C. Titchmarsh 1986 E. C. Titchmarsh
+ Mathematics for the General Reader 1981 E. C. Titchmarsh
+ Addendum: On the Mean Convergence of Trigonometrical Series† 1968 E. C. Titchmarsh
+ On the Mean Convergence of Trigonometrical Series<sup>†</sup> 1965 E. C. Titchmarsh
+ ON THE RELATION BETWEEN THE EIGENVALUES IN RELATIVISTIC AND NON-RELATIVISTIC QUANTUM MECHANICS (II) 1964 E. C. Titchmarsh
+ Ughtred Shuttleworth Haslam-Jones 1963 E. C. Titchmarsh
+ <i>Eigenfunction Expansions Associated with Second-order Differential Equations, Part 1</i> 1962 E. C. Titchmarsh
George H. Weiss
+ EIGENFUNCTION EXPANSIONS. Associated with Second-order Differential Equations. Part I. 1962 E. C. Titchmarsh
George H. Weiss
+ ON THE NATURE OF THE SPECTRUM IN PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS (III) 1962 E. C. Titchmarsh
+ On the completeness problem for the eigenfunction formulae of relativistic quantum mechanics 1961 E. C. Titchmarsh
+ A Problem in Relativistic Quantum Mechanics 1961 E. C. Titchmarsh
+ ON THE NATURE OF THE SPECTRUM IN PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS 1961 E. C. Titchmarsh
+ Eigenfunction expansions associated with second-order differential equations, Part II 1959 Edwin Hewitt
E. C. Titchmarsh
+ On the eigenvalues in problems with spherical symmetry. II 1959 E. C. Titchmarsh
+ ON THE ASYMPTOTIC DISTRIBUTION OF EIGENVALUES 1959 John Mcleod
E. C. Titchmarsh
+ <i>Eigenfunction Expansions Associated with Second-Order Differential Equations, Part 2</i> 1958 E. C. Titchmarsh
T. Teichmann
+ On the eigenvalues in problems with spherical symmetry 1958 E. C. Titchmarsh
+ Einführung in die Théorie der Differentialgleichungen im reellen Gebiet. By L. Bieberbach. Pp. 281. DM 29.80. 1956. (Springer, Berlin) 1958 E. C. Titchmarsh
+ ON THE CONVERGENCE OF EIGENFUNCTION EXPANSIONS (II) 1957 E. C. Titchmarsh
+ Eigenfunction Expansions Associated with Partial Differential Equations (V) 1955 E. C. Titchmarsh
+ ON THE PARSEVAL FORMULA IN THE THEORY OF EIGENFUNCTION EXPANSIONS ARISING FROM DIFFERENTIAL EQUATIONS 1955 Andreas Martin
E. C. Titchmarsh
+ Some theorems on perturbation theory. V 1954 E. C. Titchmarsh
+ SOME PROPERTIES OF EIGENFUNCTION EXPANSIONS 1954 E. C. Titchmarsh
+ ON THE ASYMPTOTIC DISTRIBUTION OF EIGENVALUES 1954 E. C. Titchmarsh
+ EIGENFUNCTION EXPANSIONS ASSOCIATED WITH PARTIAL DIFFERENTIAL EQUATIONS (IV) 1953 E. C. Titchmarsh
+ Eigenfunction Expansions Associated with Partial Differntial Equations (III) 1953 E. C. Titchmarsh
+ Eigenfunction Expansions Associated with Partial Differential Equations (II) 1953 E. C. Titchmarsh
+ Harald Bohr 1953 E. C. Titchmarsh
+ ON THE CONVERGENCE OF EIGENFUNCTION EXPANSIONS 1952 E. C. Titchmarsh
+ Some theorems on perturbation theory. IV 1951 E. C. Titchmarsh
+ PDF Some theorems on perturbation theory. Ill 1951 E. C. Titchmarsh
+ Eigenfunction Expansions Associated with Partial Differential Equations 1951 E. C. Titchmarsh
+ A Relation between Green's Functions 1951 E. C. Titchmarsh
+ ON THE SUMMABILITY OF EIGENFUNCTION EXPANSIONS 1951 E. C. Titchmarsh
+ Eigenfunction problems with periodic potentials 1950 E. C. Titchmarsh
+ Some theorems on perturbation theory. II 1950 E. C. Titchmarsh
+ (6) the Riemann Zeta-Function, and Lattice-Point Problems 1950 E. C. Titchmarsh
+ Godfrey Harold Hardy 1950 E. C. Titchmarsh
+ SOME EIGENFUNCTION FORMULAE 1950 D. B. Sears
E. C. Titchmarsh
+ Some theorems on perturbation theory 1949 E. C. Titchmarsh
+ PDF On the discreteness of the spectrum associated with certain differential equations 1949 E. C. Titchmarsh
+ PDF On the Uniqueness of the Green's Function Associated with a Second-order Differential Equation 1949 E. C. Titchmarsh
+ EIGENFUNCTION EXPANSIONS FOR A FINITE TWO-DIMENSIONAL REGION 1949 E. C. Titchmarsh
+ 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
+ Records of Proceedings at Meetings 1948 E. C. Titchmarsh
+ Some Integrals Involving Hermite Polynomials 1948 E. C. Titchmarsh
+ Records of Proceedings at Meetings 1948 E. C. Titchmarsh
+ On Series Involving Divisors 1947 E. C. Titchmarsh
+ Records of Proceedings at Meetings. Session November, 1946-June, 1947 1947 E. C. Titchmarsh
+ Records of Proceedings at Meetings. Session November, 1946-June, 1947 1947 E. C. Titchmarsh
+ Records of Proceedings at Meetings. Session November, 1946-June, 1947 1947 E. C. Titchmarsh
+ ON THE ZEROS OF THE RIEMANN ZETA FUNCTION 1947 E. C. Titchmarsh
+ Records of Proceedings at Meetings. Session November, 1946-June, 1947 1947 E. C. Titchmarsh
+ Records of Proceedings at Meetings. Session November, 1946-June, 1947 1947 E. C. Titchmarsh
+ Records of Proceedings at Meetings 1946 E. C. Titchmarsh
+ Eigenfunction expansions associated with second-order differential equations 1946 E. C. Titchmarsh
+ ON EXPANSIONS IN EIGENFUNCTIONS (VIII) 1945 E. C. Titchmarsh
+ ON EXPANSIONS IN EIGENFUNCTIONS (VII) 1945 E. C. Titchmarsh
+ On the Eigenvalues of Differential Equations 1944 E. C. Titchmarsh
+ AN EXTENSION OF THE STURM-LIOUVILLE EXPANSION 1944 E. C. Titchmarsh
+ SOME PROPERTIES OF THE RIEMANN ZETA-FUNCTION 1943 E. C. Titchmarsh
+ AN EIGENFUNCTION PROBLEM OCCURRING IN QUANTUM MECHANICS 1942 E. C. Titchmarsh
+ SOME PROBLEMS IN THE ANALYTIC THEORY OF NUMBERS 1942 E. C. Titchmarsh
+ PDF ON THE ORDER OF ζ(½+<i>it</i>) 1942 E. C. Titchmarsh
+ PDF British Association for the Advancement of Science Mathematical Tables 1941 E. C. Titchmarsh
+ ON EXPANSIONS IN EIGENFUNCTIONS (VI) 1941 E. C. Titchmarsh
+ ON EXPANSIONS IN EIGENFUNCTIONS (V) 1941 E. C. Titchmarsh
+ ON EXPANSIONS IN EIGENFUNCTIONS (IV) 1941 E. C. Titchmarsh
+ ON EXPANSIONS IN EIGENFUNCTIONS (II) 1940 E. C. Titchmarsh
+ ON EXPANSIONS IN EIGENFUNCTIONS (III) 1940 E. C. Titchmarsh
+ Solutions of Some Functional Equations 1939 E. C. Titchmarsh
+ AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION 1939 E. C. Titchmarsh
+ A Convexity Theorem 1938 E. C. Titchmarsh
+ THE APPROXIMATE FUNCTIONAL EQUATION FOR ζ<sup>2</sup>(<i>s</i>) 1938 E. C. Titchmarsh
+ PDF ON DIVISOR PROBLEMS 1938 E. C. Titchmarsh
+ ON ζ(<i>s</i>) AND π(<i>x</i>) 1938 E. C. Titchmarsh
+ THE MEAN-VALUE OF | ζ(12+it) |4 1937 E. C. Titchmarsh
+ PDF The zeros of the Riemann zeta-function 1936 E. C. Titchmarsh
+ The Summability of Fourier's Integral 1936 M. S. Macphail
E. C. Titchmarsh
+ New Solution of an Integral Equation 1936 G. H. Hardy
E. C. Titchmarsh
+ The zeros of the Riemann zeta-function 1935 E. C. Titchmarsh
+ A Discontinious Integral 1935 E. C. Titchmarsh
+ The Theory of Functions. 1935 L. R. Ford
E. C. Titchmarsh
+ ON VAN DER CORPUT'S METHOD (VI) 1935 E. C. Titchmarsh
+ The Lattice-Points in a Circle 1935 E. C. Titchmarsh
+ Corrigendum. The Lattice-Points in a Circle 1935 E. C. Titchmarsh
+ The Zeros of Epstein's Zeta-Functions 1935 H. S. Potter
E. C. Titchmarsh
+ Leçons sur les progrès récents de la théorie des séries de Dirichlet. By V Bernstein. Pp. xv. 320. 60 fr. 1933. Collertion Borel. (Gauthier-Villars) 1934 E. C. Titchmarsh
+ ON VAN DER CORPUT'S METHOD AND THE ZETA-FUNCTION OF RIEMANN (IV) 1934 E. C. Titchmarsh
+ On Epstein's Zeta-Function 1934 E. C. Titchmarsh
+ ON VAN DER CORPUT'S METHOD AND THE ZETA-FUNCTION OF RIEMANN (V) 1934 E. C. Titchmarsh
+ A divisor problem. Correction 1933 E. C. Titchmarsh
+ A Proof of a Theorem of Watson 1933 E. C. Titchmarsh
+ The Fourier Integral and certain of its applications. By Norbert Wiener. Pp. xi, 201. 12s. 6d. 1933. (Cambridge) 1933 E. C. Titchmarsh
+ ON THE FUNCTION 1/ζ(I+<i>it</i>) 1933 E. C. Titchmarsh
+ A Class of Fourier Kernels 1933 G. H. Hardy
E. C. Titchmarsh
+ On the Riemann zeta-function 1932 E. C. Titchmarsh
+ An integral equation 1932 G. H. Hardy
E. C. Titchmarsh
+ Formulae Connecting Different Classes of Self-Reciprocal Functions 1932 G. H. Hardy
E. C. Titchmarsh
+ ON VAN DER CORPUT'S METHOD AND THE ZETA-FUNCTION OF RIEMANN (III) 1932 E. C. Titchmarsh
+ The Zeta-Function of Riemann. 1931 J. I. Hutchinson
E. C. Titchmarsh
+ A Note on Parseval's Theorem for Fourier Transforms 1931 G. H. Hardy
E. C. Titchmarsh
+ The Zeros of Dirichlet's <i>L</i> -Functions 1931 E. C. Titchmarsh
+ ON VAN DER CORPUT'S METHOD AND THE ZETA-FUNCTION OF RIEMANN (II) 1931 E. C. Titchmarsh
+ ON VAN DER CORPUT'S METHOD AND THE ZETA-FUNCTION OF RIEMANN 1931 E. C. Titchmarsh
+ A divisor problem 1930 E. C. Titchmarsh
+ A Theorem on Conjugate Functions 1930 E. C. Titchmarsh
+ SELF-RECIPROCAL FUNCTIONS 1930 G. H. Hardy
E. C. Titchmarsh
+ Additional Note on Certain Integral Equations 1930 G. H. Hardy
E. C. Titchmarsh
+ On the Zeros of Riemann's Zeta-Function 1930 E. C. Titchmarsh
+ QUADRATIC EQUATIONS WITH AN INFINITY OF UNKNOWNS 1930 U. S. Haslam-Jones
E. C. Titchmarsh
+ Le théorème de Picard-Borel et la théorie des fonctions méromorphes. By Rolf Nevanlinna. Pp.171. 35 fr. 1929. Paris; Gauthier-Villars. 1930 E. C. Titchmarsh
+ Solution of An Integral Equation 1929 G. H. Hardy
E. C. Titchmarsh
+ Solution of an Integral Equation 1929 G. H. Hardy
E. C. Titchmarsh
+ Additional Note on Conjugate Functions 1929 E. C. Titchmarsh
+ Additional note on Conjugate Functions 1929 E. C. Titchmarsh
+ On Conjugate Functions 1929 E. C. Titchmarsh
+ A Class of Trigonometrical Series 1928 E. C. Titchmarsh
+ An Inequality in the Theory of Series 1928 E. C. Titchmarsh
+ On an Inequality Satisfied by the Zeta-Function of Riemann 1928 E. C. Titchmarsh
+ The Mean-Value of the Zeta-Function on the Critical Line 1928 E. C. Titchmarsh
+ On the Remainder in the Formula for <i>N</i> (<i>T</i> ), the Number of Zeros of ζ(<i>s</i> ) in the Strip 0&lt;<i>t</i> &lt;<i>T</i> 1928 E. C. Titchmarsh
+ PDF Reciprocal formulae involving series and integrals 1927 E. C. Titchmarsh
+ A Consequence of the Riemann Hypothesis 1927 E. C. Titchmarsh
+ Some Integrals Involving Bessel Functions 1927 E. C. Titchmarsh
+ A Theorem on Lebesgue Integrals 1927 E. C. Titchmarsh
+ On Integral Functions with Real Negative Zeros 1927 E. C. Titchmarsh
+ Reciprocal formulae involving series and integrals 1926 E. C. Titchmarsh
+ The Convergence of Certain Integrals 1926 E. C. Titchmarsh
+ The Zeros of Certain Integral Functions 1926 E. C. Titchmarsh
+ Solutions of Some Integral Equations Considered by Bateman, Kapteyn, Littlewood, and Milne 1925 G. H. Hardy
E. C. Titchmarsh
+ A System of Linear Equations with an Infinity of Unknowns 1924 E. C. Titchmarsh
+ The double Fourier series of a discontinuous function 1924 E. C. Titchmarsh
+ Hankel Transforms 1924 E. C. Titchmarsh
+ Weber's Integral Theorem 1924 E. C. Titchmarsh
Common Coauthors
Coauthor Papers Together
G. H. Hardy 9
George H. Weiss 2
U. S. Haslam-Jones 1
T. Teichmann 1
L. J. Mordell 1
H. Davenport 1
H. S. Potter 1
J. E. Littlewood 1
D. B. Sears 1
G. Pólya 1
Norbert Wiener 1
G. H. Hardy 1
D. R. Heath‐Brown 1
Edwin Hewitt 1
L. R. Ford 1
M. S. Macphail 1
John Mcleod 1
Andreas Martin 1
J. I. Hutchinson 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Eigenfunction expansions associated with second-order differential equations 1946 E. C. Titchmarsh
 3
+ Two notes on the Riemann Zeta-function 1924 J. E. Littlewood
 1
+ PDF The Theory of Cauchy's Principal Values. (Fourth Paper: <i>The Integration of Principal Values</i> -Continued-<i>with Applications to the Inversion of Definite Integrals</i> ) 1909 G. H. Hardy
 1
+ PDF The Second Theorem of Consistency for Summable Series 1917 G. H. Hardy
 1
+ Solutions of Some Integral Equations Considered by Bateman, Kapteyn, Littlewood, and Milne 1925 G. H. Hardy
E. C. Titchmarsh
 1
+ Über die Riemannsche Zetafunktion in der nähe von σ = 1 1926 Edmund Landau
 1
+ Rendiconti del circolo matematico di Palermo 1906 G. B. Guccia
 1
+ Theorems Relating to the Summability and Convergence of Slowly Oscillating Series 1910 G. H. Hardy
 1
+ PDF The Multiplication of Conditionally Convergent Series 1908 G. H. Hardy
 1
+ PDF On the Summability of Fourier's Series 1913 G. H. Hardy
 1
+ PDF Existence and oscillation theorem for a certain boundary value problem 1909 George D. Birkhoff
 1
+ The Average Order of the Arithmetical Functions P(<i>x</i> ) and δ(<i>x</i> ) 1917 G. H. Hardy
 1
+ PDF The Theory of Cauchy's Principal Values. (Second Paper: The use of Principal Values in some of the Double Limit Problems of the Integral Calculus.) 1901 G. H. Hardy
 1
+ PDF The Elementary Theory of Cauchy's Principal Values 1901 G. H. Hardy
 1
+ PDF On the coefficients in the expansions of certain modular functions 1918 Godfrey Harold Hardy
S. Ramanujan
 1
+ Mean-Value Theorems in the Theory of the Riemann Zeta-Function 1928 A. E. Ingham
 1
+ PDF The Application to Dirichlet's Series of Borel's Exponential Method of Summation 1910 G. H. Hardy
 1
+ On Dirichlet's Divisor Problem 1917 G. H. Hardy
 1
+ PDF Some Theorems Connected with Abel's Theorem on the Continuity of Power Series 1907 G. H. Hardy
 1
+ PDF Proceedings of the Fifth International Congress of Mathematicians 1914 George H. Bryan
 1
+ �ber lineare homogene Differentialgleichungen 2. Ordnung mit periodischen Koeffizienten. Bemerkung zur Arbeit gleichen Titels von HerrnHamel 1918 Otto Haupt
 1
+ On Abel's Integral Equation and Fractional Integrals 1930 L. S. Bosanquet
 1
+ PDF The Theory of Cauchy's Principal Values. (Third Paper: <i>Differentiation and Integration of Principal Values.)</i> 1902 G. H. Hardy
 1
+ PDF The Mean Value of the Modulus of an Analytic Function 1915 G. H. Hardy
 1
+ On the expression of the Double Zeta-Function and Double Gamma-Function in terms of Elliptic Functions 1908 G. H. Hardy
 1
+ �ber die lineare Differentialgleichung zweiter Ordnung mit periodischen Koeffizienten 1913 Georg Hamel
 1
+ ON THE ASYMPTOTIC DISTRIBUTION OF EIGENVALUES 1954 E. C. Titchmarsh
 1