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books:
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:
http://www.digizeitschriften.de
http://www.imsc.res.in/~rao/ramanujan/CamUnivCpapers/collectedright1.htm
previous OVERVIEW pages
 Braun K., RH, YME, NSE, GUT solutions, overview, Oct 31, 2019 |
Braun K., RH, YME, NSE, GUT, OVERVIEW page, June 30, 2019 |
Braun K., RH, YME, NSE, GUT, OVERVIEW page, Feb 2019 |
Braun K., RH, YME, NSE, GUT, OVERVIEW page, Jan 2019 |
Braun K., RH, YME, NSE, GUT, OVERVIEW page, Dec 2018 |
Braun K., Three Millennium problems, RH, NSE, YME, OVERVIEW |
Braun K., A distributional way to prove the Goldbach conjecture leveraging the circle method |
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 |
http://www.archive.org/stream/handbuchgamma00nielrich/handbuchgamma00nielrich_djvu.txt
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 |
