literature (RH)
literature (Goldbach)
literature (general)


Edwards H. M., Riemann's Zeta Function, Dover Publications, Inc., Mineola, New York, 2001

Titchmarsh E. C., TheTheory of the Riemann Zeta-function, Clarendon Press, Oxford, 1986

internet links:

pdf files:

Chakraborty K., Hoque A., Quadratic reciprocity and some non-differentiable functions

Dahlke S., Maass P., The Affine Uncertainty Principle in One and Two Dimensions

Dahlke S., Weinreich I., Wavelet Bases Adapted to Pseudodifferential Operators

Glowinski R. et al., wavelet methods in computational fluid dynamics

Holschneider M., Tchamitchian, Pointwise analysis of Riemann s nondifferentiable function

Jaffard S., The spectrum of singularities of Riemann s function

Bedrosian E., A product theorem for Hilbert transform

Bateman H., The mathematical analysis of electrical and optical wave-motion on the basis of Maxwells equations

M.V. Berry I.P. Keating H=xp and Riemann zeros

Berndt B. C., Ramanujan's Notebooks I

Berndt B. C., Ramanujan's Notebooks II

Berndt B. C., Ramanujan's Notebooks III

Bernd B. C., Ramanujan's Notebooks IV

Bernstein I. B., Greene J. M., Kruskal M. D., Exact Nonlinear Plasma Oscillations

Hauray M., Mean field limit for the one dimensional Vlasov-Poisson equation

Bertrand J., The Mellin Transform

P. Biane Probability laws related to Jacobi-Theta, Riemann Zeta functions ...

Bingham Inoue An Abel-Tauber theorem for hankel transform

Bohr Die Riemannsche Zetafunktion

E. Bombieri J. Lagarias Complements of Li`s criterion for the Riemann Hypothesis

Boros G., Moll V. H., sums of arctangents and some formulas of Ramanujan

D. Bump et al. A Local Riemann Hypothesis I


J.-F. Burnol On Fourier and Zeta(s)

ButzerJansche A Direct approach to the Mellin Transform.pdf

Cardon Convolution operators and zeros of entire functions

Csardas G., Fourier transforms of positive definite kernels and the Riemann Zeta-Function

Deshouiliers J.-M., A complete Vinogradov 3-Primes theorem under the Riemann Hypothesis

D. Dickinson On Lommel and Bessel Polynomials.pdf

Dixit A., Moll V. H., The integrals in Gradshteyn and Ryzhik. Part 28 The confluent hypergeometric function and Whittaker functions

G. Doetsch Ueber die Singularitaeten der Mellin-Transformierten

G. Doetsch Summatorische Eigenschaft der Bessel Fkt ....

Duistermaat J. J., Selfsimilarity of Riemann s Nondifferentiable Function

Duffin Weinberger Dualization Poisson Summation Formula.pdf

Duffin R. J., Yukawan potential theory

Endres S., Steiner F., A new proof of the Voronoi summation formula

Federbush P., Navier and Stokes meet the Wavelet

Gaier D., Konstruktive Methoden der konformen Abbildung

R. Garunkstis On the Voronin s universality theorem for the Riemann Zeta-function.pdf

Gaspers G., Using integrals of squares of certain real-valued special functions to prove that .....

Gautschi W., Waldvogel J., Computing the Hilbert Transform of the Generalized Laguerre and Hermite Weight Functions

Geshwind Pseudodifferential Operators on SU(2).pdf

Goedel K., An Example of a New Type of Cosmological Solutions of Einstein´s Field Equations of Gravitation

Goldston D. A., On Hardy and Littlewood Contribution to the Goldbach Conjecture

Gomes J., Vilbo L., From Fourier Analysis to Wavelets, Course Notes

Hamburger Ueber Beziehungen die mit Funktionalgleichung aequivalent sind

Hardy G. H., Littlewood J. E., SomeProblems of Partitio Numerorum III, On the Expression of a Number as a Sum of Primes

M. Johansson The Hilbert transform.pdf

On the Hilbert Transforms of Wavelets

Kac M., Probability methods in some problems of analysis and number theory

Karlsson A., Applications of the heat kernels on abelian groups, Zeta(2n), quadratic reciprocity, Bessel integrals

Koch Ueber die Riemannsche Primzahlfunktion

Korevaar J., Prime pairs and the zeta function

Korevaar, J., Distributional Wiener Ikehara theorem and the twin primes

Kowalenko V., Frankel N. E., Asymptotics for the Kummer Function of Bose Plasmas

P. Kurlberg A local Riemann Hypothesis, II

Landau E., Handbuch der Lehre von der Verteilung der Primzahlen I

Landau E., Handbuch der Lehre von der Verteilung der Primzahlen II

Landau E., Zur Goldbachschen Vermutung

Landau E., die Goldbachsche Vermutung und der Schnirelmannsche Satz

Lebedev N. N., Special Functions and their Applications

Lucke B., Zur Hardy-Littlewoodschen Behandlung des Goldbachschen Problems I

Lucke B., Zur Hardy-Littlewoodschen Behandlung des Goldbachschen Problems II

Mashreghi J., Hilbert transform of logf

McMullen C., Complex Analysis

Mellin Abriss einer einheitlichen Theorie der Gamma und hypergeometrischen Fktn

Miller S. D., Schmid W., Summation Formulas, from Poisson and Voronoi to the Present

Nag S., Sullivan D., Teichmüller theory and the universal period mapping via quantum calculus and the H(1 2) space on the circle

Nasim C., On the summation Formula of Voronoi

Nitsche J. A., lecture notes I, Approximation Theory in Hilbert Scales


Nitsche J. A., lecture notes II, Extensions and Generalizations

Oskolov K. I., Chakhiev M. A., On Riemann Nondifferentiable Function and Schroedinger Equation

Pathak R. S., Singh A., Distributional Wavelet Transform


Petersen Abelian and Tauberian Theorems Philosophy

B. Petersen Introduction to the FT and Pseudo-differential Operators distribution valued holomorphic functions I.pdf

B. Petersen Introduction to the FT and Pseudo-differential Operators distribution valued holomorphic functions II.pdf

Pilipovic S., Stankovic B., Tauberian Theorems for Integral Transforms of Distributions

Pichler A., On a rapidly converging series for the Riemann Zeta function

Polya G., On the zeros of an integral function represented by Fourier integral.pdf

Polya G., On the zeros of certain trigonometric integrals.pdf

Polya G., Bemerkungen ueber die Integraldarstellung der Riemannschen Zeta-Funktion.pdf

Polya G., Ueber die algebraisch-funktionentheoretischen Untersuchungen von J. L. W. V. Jensen

Polya Trigonometrische Integrale mit nur reellen NS

Ramanujan's Lost Notebook Part IV

Ramanujan, New expressions for Riemann s functions

Rice A., Goldbach s Problems

Riemann B., Ueber die Darstellbarkeit einer Function durch eine trigonometrische Reihe

W. Schnee Die Funktionalgleichung der Zetafunktion und der Dirichletschen Reihen mit periodischen Koeffizienten

Schulz W., Ueber die Galoissche Gruppe der Hermiteschen Polynome

Sedletskii A. M., Asymptotics of the Zeros of Degenerate Hypergeometric Functions

Sedletskii A. M., On the Zeros of Laplace Transfroms

Siegel C. L., Transcendental Numbers, Princeton University Press, 1949

Siegel Bemerkungen zu einem Satz von Hamburger über die Funktionalgleichung der Riemannschen Zeta Funktion

The confluent hypergeometric function

Vajjha K., On a Definite Integral of the Fractional Part Function

Vindas J., Estrada R., A quick distributional way to the prime number Theorem

Vindas J., Introduction to Tauberian theory, A distributional Approach

Weiss J., The Hilbert Transform of Wavelets are Wavelets

Weyl H., Reine Infinitesimalgeometrie

Wolke D., Das Goldbachsche Problem

Riemann´s original paper:

handwritten paper from 1859 and its english translation

Riemann handwritten paper from 1859

Riemann article english