RH, Goldbach, Euler
Unified Field Theory
literature II (incl. Goldbach)
literature III (general)
Who I am


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

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

internet links:




Axler C., On a Family of Functions Defined Over Sums of Primes


Balasubramanian R., Siegel Zeros and the Goldbach Problem


Binham N. H., Szegoe s theorem and H(1 2)


Chaudhury K. N., On the Hilbert Transforms of Wavelets


Chen Distance function wavelets part 1


Derezinski J., Richard S., On Radial Schroedinger Operators with a Coulomb Potential


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 et.al. 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

Chouly F., et. all, An overview of recent results on Nitsche s method for contact problems

Costabel M., Coercive Bilinear Form for Maxwell s Equations

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


Ebenfelt P., Khavinson D., Shapiro H. S., An inverse problem for the double layer potential

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


Erdös P., On the distribution functions of additive functions


Erdös P., Kac M., The Gaussian Law of Errors in the Theory of Addtive Number Theoretic Functions


Erdös P., On additive arithmetical functions and applications of probability to number theory


Farge M., Schneider K., Wavelet transforms and their applications to MHD and plasma turbulence, a review

Federbush P., Navier and Stokes meet the Wavelet

Fichera G., Boundary Value Problems of Elasticity with Unilateral Constraints

Friedrich H., Cauchy Problem for the Conformal Vacuum Field Equations in General Relativity

Fourier theory of cardinal functions

Gaier D., Konstruktive Methoden der konformen Abbildung


Galambos J., Distribution of arithmetical functions. A survey

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


Hofmann S. et all, L(p) bounds for the Riesz transforms associated with the Hodge Laplacian in Lipschitz subdomains of Riemannian manifolds


Helfgott H. A., Major Arcs for Goldbach s Prpblem


Helfgott H. A., Minor Arcs for Goldbach s Prpblem

M. Johansson The Hilbert transform.pdf

On the Hilbert Transforms of Wavelets

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


Kac M., Statistical Independence in Probability, Analysis and Number Theory


Kang H., Kawagoe, Surface Riesz transforms and spectral property of elastic Neumann-Poincare operators on less smooth domains in three dimensions

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


Kasch F., Abschätzungen der Dichte von Summenmengen, I


Kasch F., Abschätzungen der Dichte von Summenmengen, II


Kasch F., Abschätzungen der Dichte von Summenmengen, III


Kim, H., Origin of the Universe, A Hint from Eddington-inspired Born-Infeld gravity


Kneser H., Geschlossene Flaechen in dreidimensionalen Mannigfaltigkeiten

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


Landau E., Ueber die zahlentheoretische Function und ihre Beziehung zum Goldbachschen Satz


Landau E., Ueber eine trigonometrische Reihe


Landau E., Ueber die Fareyreihe und die Riemannsche Vermutung


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

Maxwell J. C., A Dynamical Theory of the Electromagnetic Field

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


Nitsche J. A., 1988, Direct Proofs of Some Unusual Shift-Theorems


Nitsche J. A., Free boundary problems for Stokes´s flows and finite element methods


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

Pollack D. Initial data for the Cauchy Problem in General Relativity, Lecture 2


Polya Ueber eine neue Weise bestimmte Integrale in der Zahlentheorie zu gebrauchen

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


Renyi A., Probabilistic methods in number theory

Rice A., Goldbach s Problems

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

Rindler W., Relativity. Special, General, and Cosmological


Rohrbach H., Einige neuere Untersuchungen ueber die Dichte in der additiven ZahlentheorieRohrbach H., Einige neuere Untersuchungen ueber die Dichte in der additiven Zahlentheorie

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


Schoenberg I., Ueber die asymptotische Verteilung reeller Zahlen mod I


Schnirelmann L., Ueber additive Eigenschaften von Zahlen

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


Seifert H., Topologie dreidimensionaler gefaserter Raeume

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

Werner P., Self-Adjoint Extensions of the Lapalce Operator with Respect to Electric and Magnetic Boundary Conditions

Werner P., Spectral Properties of the Laplace Operator with respect to Electric and Magnetic Boundary Conditions



Weyl H., Ueber die Gleichverteilung von Zahlen mod 1

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