OVERVIEW
RIEMANN HYPOTHESIS
NAVIER-STOKES EQUATIONS
YANG-MILLS EQUATIONS
GROUND STATE ENERGY
WHO I AM
LITERATURE
literature (RH)
literature (Polya)
literature (Goldbach)
literature (general)
fine arts


books:

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:

http://www.digizeitschriften.de

http://www.imsc.res.in/~rao/ramanujan/CamUnivCpapers/collectedright1.htm


pdf files:


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


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


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 ....


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


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

http://www.archive.org/stream/handbuchgamma00nielrich/handbuchgamma00nielrich_djvu.txt

 

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