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


Adamchik V. S., Srivastava H., M., Some series of the Zeta and related functions


Agmon S., Spectral properties of Schrödinger operators and scattering theory

Al-Fhaid A. S., Continued Fraction Evaluation of the Error Function

S. Al-Omari On the Distributional Mellin Transformation and its Extension to Boehmian Spaces.pdf

T. Amdeberhan et. al., integrals of powers of loggammapdf.pdf


Anderson M. T., Geometrization of 3-Manifolds via the Ricci Flow

Anderson E., Geometrodynamics, Spacetime or Space


Arab A. I., The Generalized Newton s Law of Gravitation versus the General Theory of Relativity

I. Aref eva Quantization of the Riemann Zeta-Function and Cosmology.pdf


Aref eva I. Y., Volovich I. V., On the Null Energy Condition and Cosmology


Azizov T. Y., et all, On Krein s papers in the theory of spaces with an indefinite metric


Azizov T. Y., Iokhvidov I. S., Linear operators in spaces with an indefinite metric, book review

B. Bagchi On Nyman, Beurling and Baez-Duarte s Hilbert space reformulation of the RH.pdf


Baier St., Lectures on exponential sums


Baricz A., Mills ration, Monotonicity patterns and functional inequalities


Baricz A., Pogany T. K., Inequalities for the one-dimensional analogous of the Coloumb potential


Barnard R. W., A note on Turan type and mean inequalities for the Kummer function


Belogrivov I. I., On transcendence and algebraic independence of the values of Kummer s functions

Berndt B. C., et all, Koshliakov s formula and Guinand s formula in Ramanujan s lost Notebook


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

M. V. Berry J. P. Keating H=xp and the Riemann zeros.pdf


Beukers F., Irrationality proofs using modular forms


Beukers F., E-functions and G-functions


Bohm D., Wholeness and the Implicate Order

Bump D.,Ng E., On Riemann s Zeta Function

The Riemann Zeros and Eigenvalue Asymptotics, SIAM REVIEW, Vol. 41, No. 2, pp. 236-266


Blower G., Chen Y., Kernels and point processes associated with Whittaker functions

M. Boecher On Gibb's Phenomenon.pdf

I. Bogdanova et al Wavelets on the 2-Hyperboloid.pdf


Bohm D., Wholeness and the Implicate Order


Borthwick D., Introduction to Spectral Theory on Hyperbolic Surfaces


Braun K., Hilbert transformation, Gaussian and Dawson function, and the Harmonic Quantum Oscillator Model


Braun K., Some remarkable Pseudo-Differential Operators of order -1, 0, 1


Braun K.,The Prandtl (hyper singular integral) operator with double layer potential


Braun K. Generalized wavelet theory and non-linear, non-periodic boundary value problems

Braun K. , A new ground state energy model


Braun K., A distributional Hilbert space framework to prove the Landau damping phenomenon


Braun K., An integrated electro-magnetic plasma field model


Braun K., Unusual Hilbert or Hoelder space frames for the elementary particles transport (Vlasov) equation

Braun K., A quantum gravity and ground state energy Hilbert space model


Braun K., Quantum Gravity, homepage text, 2019

Braun K., Global existence and uniqueness of 3D Navier-Stokes equations


Braun K., Comparison table, math. modelling frameworks for SMEP and GUT


Bruneau L. et all, Homogeneous Schroedinger Operators on Half-Line


Cao J., DeTurck D., The Ricci Curvature Equation with Rotational Symmetry


Cao H.-D., Zhu X.-P., Hamilton-Perelman’s Proof of the Poincar´e Conjecture and the Geometrization Conjecture

Cardon Convolution operators and zeros of entire functions.pdf


Casazza P. G., Christensen O., Frames containing a Riesz basis and preservation of this property under perturbations


Christensen O., Frames, Riesz bases, and discrete, Gabor,wavelet expansion


Christoffel, E. B., Vollstandige Theorie der Riemann'schen Theta-Funktion


Christoffel E. B., Lehrsätze über arithmetische Eigenschaften der Irrationalzahlen

Chiang E. Y. M., Classical Analysis, Lecture Notes 2009

Cirkovic M. M., Perovic S., Alternative explanations of the CMB, a historical and epistemological perspective

Ciufolini, Wheeler, Einstein Geometrodynamics

Chouly F., Heuer N., A Nitsche-based domain decomposition method for hypersingular integral equations


Cochrane T., An Asymptotic Formula for a Trigonometric Sum of Vinogradov


Cohen G., Lin M., The One-sided Ergodic Hilbert Transform of Norma Contraction


Connes A., An essay on the Riemann Hypothesis


Costabel M., Coercive Bilinear Form for Maxwell s Equations

R. Crandall On the quantum zeta funktion.pdf


Dai X., Lectures on Dirac Operators and Index Theory


Derezinski J., On radial Schroedinger operators with a Coulomb potential


De Pree, J. D., The Distribution of Zeros of Certain Entire Functions


Dedekind R., Gesammelte mathematische Werke

Degond P., Spectral Theory of the Linearized Vlasov-Poisson Equation


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

D.Dickinson On Lommel and Bessel Polynomials

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

Dritschel M. A., Rovnyak, J., Operators on indefinite inner product spaces


Dragon N., Geometrie der Relativitätstheorie

Duffin Weinberger Dualization Poisson Summation Formula.pdf


Duffin R. J., Schaeffer A. C., A Class of Nonharmonic Fourier Series


Ehrlich P., Contemporary infinitesimalist theories of continua and their late 19th- and early 20th-century forerunners


Einstein A., Ether and the theory of relativity


Einstein A., The meaning of relativity


Einstein A., Podolsky B., Rosen N., Can Quantum-Mechanical Description of Physical Reality Be Considered Complete


Einstein A., The World as I See it


Elaissaoui L., et al, Relating log-tangent integrals with the Riemann zeta function


Elaissaoui L., et al., Evaluation of Log-tangent Integrals by series involving zeta(2n+1)

E. Elizalde Spectral Zeta Function for Spherical Aharonow-Bohm Quantum Bags


Eremenko A., Novikov D., Oscillation of Fourier Integrals with a spectral gap


Faltings G., Der Beweis der Fermat-Vermutung durch R. Taylor und A. Wiles


Fan K., Invariant subspaces of certain linear operators

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


Forster O., Analytic Number Theory

C. Fox Solving integral equations by L and L(-1) operators.pdf

Friedrichs K. O., Ueber die Spektralzerlegung eines Integraloperators


Ganchev A. H., Greenberg W., A class of linear kinetic equations in a Krein space setting


Gallatin A., Isometric Immersions into Hyperbolic 3-Space

L. Garding The Mathematics of Wiener's Tauberian theorem.pdf

Gasper G., Rahman M., Basic Hypergeometric Series


Gassner J., Berechnungen zur primordialen Nukleosynthese


Giga Y., Weak and Strong Solutions of the Navier-Stokes Initial Value Problem

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

Grant F. C., Vlasov equation eigenvalues and eigenvectors for Fourier-Hermite dispersion matrices of order greater than 1000


Greenlee W. M., A quadratic eigenvalue problem

C. Fox Solving integral equations by L and L(-1) operators.pdf


Gyatso G. K., Modern Buddhism, Vol 1, 2, Sutra and Tantra

Grigorev, Y., An analytical solution of the ill-posed Cauchy problem for Lame equation in a rectangle

H. Hamburger Ueber einige Beziehungen die mit Funktionalgleichung der Riemann schen Zeta Funktion aequivalent sind.pdf

Hardy G. H., Collected Papers of G. H. Hardy, Volume 6

Hardy G. H., Divergent Series

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


Hedenmalm H., A Hilbert space of Dirichlet series and systems of dilated function in L(2)


Hedenmalm H., Addendum to ,A Hilbert space of Dirchlet series ...

Heidegger M., Off the Beaten Track

Heidegger M.,The Origin of the Work of Art


Heidegger M., Der Spruch des Anaximander


Hamilton R. S., Non-singular solutions of the Ricci flow on three-manifolds

E. Hellinger Zur Stieltjesschen Kettenbruchtheorie.pdf.pdf



Higgs P. W., Spontaneous Symmetry Breakdown without Massless Bosons


Hopf E., Ergodentheorie


Horvath A. G., Semi-indefinite-inner-product and generalized Minkowski spaces


P. Humbert Bessel-integral functions.pdf


Ikebe T., Eigenfunction Expansions Associated with the Scbroedinger Operators and their Applications to Scattering Tbeory 


Iokhvidov I. S., Krein M. G., Spectral theory of operators in space with indefinite metric

Isichenko M. B., Nonlinear Landau damping in collisionless plsma and inviscid fluid

Iwasaki C., A Representation of the Fundamental Solution for the Fokker-Planck Equation and Its Application

Karp D., Sitnik S. M., Log-convexity and log-concavity of hypergeometric-like functions

Kazanas D., Cosmological Inflation, A Personal Perspective

A. Kilicman A note on Mellin transform and distributions.pdf

A. Kilicman A note on the convolution in the Mellin sense with generalized functions.pdf


Kleiner B., Lott J., Notes on Perelman s papers


Koecher M., Remmert R., Hamilton s Quaternions

Kolb E., Wolfram S., Spontaneous symmetry breaking and the expansion rate of the early universe





Komatsu T., Hurwitz continued fractions with confluent hypergeometric functions

Koppelmann W., Pincus J. V., Spectral Representations of finite Hilbert transformations

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



Kowalski E., An alternative argument for the arithmetic large sieve inequality

Koppelmann W., On the spectral theory of singular integral Operators


Kozma G., Lev N., Exponential Riesz bases, discrepancy of irrational rotations and BMO


Kraus W., Das Wesen des Unendlichen bei Anaximander

G. Lachaud Spectral analysis and the Riemann hypothesis.pdf


Lagarias J., Euler s constant, Euler s work, and modern developments


Lagarias J. C., The Schroedinger Operator with Morse Potential on the Right Half Line

Landau E., Ueber eininge aeltere Vermutungen und Behauptungen in der Primzahltheorie


LeFloch P. G., Ma Y., The global nonlinear stability of Minkowski space




Linde A., Inflation, Quantum Cosmology and the Anthropic Principle


Lions P. L., Compactness in Boltzmann s Fourier integral operators and applications


Lions P. L., On Boltzmann and Landau equations


Liu Y. et al., Commutators of Calderon-Zagmund operators related to admissible functions on spaces of homogeneous type and applications to Schroedinger operators

J.Lewis C. Parenti Pseudodifferential operators and Hardy kernels on L(p).pdf

Lifanov, I. K., Nenashev A. S., Generalized functions on Hilbert spaces, singular integral equations, and problems of aerodynamics and electrodynamics


Lundberg L.-E., Spectral and Scattering Theory for the Klein-Gordon Equation 


Lu Wei-Jun, Evolution equations of curvature tensors along the hyperbolic geometric flow


Martelli B., Hyperbolic geometry, surfaces, and 3-manifolds


Mason S. J., Zimmermann H. J., Electronic Circuit Theory


McCormick N. J., Sanchez R., Solutions to inverse problems for the Boltzmann-Fokker-Planck equation

McMullen C., Riemann surfaces and the geometrization of 3-manifolds


McMullen C., Complex Analysis

McCabe J. H., A Continued Fraction Expansion, with a Trunction Error Estimate, for Dawson s Integral

H. Mellin Abriss einer einheitlichen Theorie der Gamma und hypergeometrischen Fktn


Miyamoto K., Fundamentals of Plasma Physics and Controlled Fusion


Mikolas M., Farey series and their connection with the prime number problem, I.


Mikosch T., Regular Variation, Subexponentiality and Their Applications


Minkowski H., Ein Kriterium für die algebraischen Zahlen


Morgan J. W., Tian G., Ricci Flow and the Poincare Conjecture


Morse M., The calculus of variations in the large


Morse M., Functional topology and abstract variational theory


Motschmann U., Plasmaphysik, lecture notes


Mueller R. a. T., A simple way to prove that exp(r), ln(r) and pi2 are irrational


Lecture Notes, Minimal Surfaces and Plateau s Problem


Nakamura A., Basis properties and complements of complex exponential systems


Naselesky P. D., Novikov D. I., Noyikov I. D., The Physics of the Cosmic Microwave Background

N. Nielsen Handbuch der Theorie der Gammafunktion I.pdf


 N. Nielsen Handbuch der Theorie der Gammafunktion II.pdf


Nimtz G., On superluminal tunneling


Nitsche J. A., overview lecture notes, Hilbert scales, Approximation Theory, Non Linear Problems


Nitsche J. A., lecture notes I, 3.1-3.18, Approximation Theory in Hilbert Scales


Nitsche J. A., lecture notes II, 4.1-4.8, Extensions and Generalizations


Nitsche J. A., lecture notes, A1-A7, linear spaces I, pp. 1-43


Nitsche J. A., lecture notes, A7, linear spaces II, pp. 44-51


Nitsche J. A., lecture notes, B3-B7, elliptic problems and Sobolev spaces


Nitsche J. A., lecture notes, C2-C5, finite elements I, pp. 56-72


Nitsche J. A., lecture notes, C5-C6, finite elements II, pp. 73-95


Nitsche J. A., lecture notes, C5, finite elements III, pp. 96-108


Nitsche J. A., lecture notes, nonlinear problems


Nitsche J. A., On Korn s second inequality


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

Niven I., An Introduction to the Theory of Numbers

Niven I., Numbers, Rational and Irrational


Nussenzweig H. M., The Theory of the Rainbow

(PeH) Peitgen H.-O., Saupe D., The Science of Fractal Images, Springer Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo


Olver F., Lozier D., Boisvert R, Clark C., NIST Handbook of Mathematical Functions

Oswald P., On Besov Hardy Sobolev spaces of analytic functions in the unit disk

Parker J. T., Dellar P. J., Fourier-Hermite spectral representation for the Vlasov-Poisson system in the weakly collisional limit


Perel M., Gorodnitskiy E., Representations of solutions of the wave equation based on relativistic wavelet


Perelman G. The entropy formula for the Ricci flow and its geometric applications


Perelman G., Finite exstinction time for the solutions to the Ricci flow on certain three-manifolds


Perelman G., Ricci flow with surgery on three-manifolds

Perron O., Die Lehre von den Kettenbrüchen, Bd. II


Pfander G. E., Riesz bases of exponentials for partitions of intervals


Phillips, R. S., Dissipative operators and hyperbolic systems of partial differential equations


Pitcher E., Inequalities of critical point theory

Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 1

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

Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 3

Pollack, D., Initial Data for the Cauchy Problem in General Relativity, lecture 4

Pollack, D., Initial Data for the Cauchy Problem in general Relativity, references

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


Pilipovic S., Stankovic B., Wiener Tauberian theorems for distributions



Polya Trigonometrische Integrale mit nur reellen NS

Polya 's theorem

Polya G., Wiener N., On the Oscillation of the Derivative of a Period Function


Redheffer R. M., On a Theorem of Plancherel and Polya


Redheffer R., Two consequences of the Beurling-Malliavin theory

Riesz F., Sure certains systems d equations fonctionnelles et l approximation des fonctions continues


Roberts J. T., Leibniz on Force and Absolute Motion

B. Rubin E. Shamir Calderon´s reproducing formula and singular integral operators on a real line.pdf


Ruskai M. B., Werner E., Study of a Class Regularitzations of 1,x using Gaussian Integrals


Russel D. L., On Exponential Bases for the Sobolev Spaces over an Interval

(SaM) Sautoy Du, Marcus, Why an Unsolved Problem in Mathematics Matters, 2003, Die Musik der Primzahlen, 2004, DTV, 2004


Scott P., The geometries of 3-manifolds

Schafheitlin P., Ueber die Integraldarstellung der allgemeineren hypergeometrischen Reihe

P. Schafleitlin Ueber die Darstellung der hypergeometrischen Reihe durch ein bestimmtes Integral.pdf

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


Schneider Th., Transzendenzuntersuchungen periodischer Funktionen, Transzendenz von Potenzen

Schneider Th., Transzendenzuntersuchungen periodischer Funktionen II.pdf


Schulz W., Ueber die Galoissche Gruppe der Hermiteschen Polynome


Serrin J., Mathematical Principles of Classical Fluid Mechanics

Shestakov I., V., Shlapunov A. A., On the Cauchy Problem for Operators with Injective Symbols in Sobolev Spaces

Schur J., Affektlose Gleichnugen in der Theorie der Laguerreschen und Hermiteschen Polynome


Shimoji M., Complementary variational formulation of Maxwell s equations in power series form

Schwartz J., Some results on the spectra and spectral resolutions of a class of singular integral Operators

E. Shamir Reduced Hilbert transforms and singular integral equations.pdf


Siegel C. L., Lectures on Advanced Analytical Number Theory

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

Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 1

Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 2

Siegel C. L., Ueber einige Anwendungen diophantischer Approximationen 3


Sierra G., The Riemann zeros as spectrum and the Riemann hypothesis


Smith L. P., Quantum Effects in the Interaction of Electrons With High Frequency Fields and the Transition to Classical Theory


Sondow J., Double Integrals for Euler s Constant and log( four divided pi) nd an Analog of Hadjicostas s Formula


Sonine, N., Recherches sur les fonctions cylindriques et le developpement des fonctions continues en series


Soundarajan K., Transcendental Number Theory.pdf

N. Sonine Recherches sur les fonctions cylindriques et le developpement des fonctions continues en series.pdf


Stankewicz J., Quarternion algebras and modular forms

Stern A. et. al., Variational Integrators for Maxwell s Equations with Sources


Stein E. M., Conjugate harmonic functions in several variables


Tajmar M., de Mantos J., Coupling of Electromagneticm and Gravitation in the Weak Field Approximation


Thomas L. H., The Motion of the Spinning Electron


Thorne K., Geometrodynamics, exploring the nonlinear dynamics of curved spacetime ....


Thurston W. P., Three Dimensional Manifolds, Kleinian Groups and Hyperbolic Geometry


Treder H.-J., Singularitaten in der Allgemeinen Relativitatstheorie


Tsujikawa S., Introductory Review of Cosmic Inflation


Vacaro S., Spinors and spacetime anisotropy


Vindas J., Local Behavior of Distributions and Applications


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


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


Villani C., lecture notes on Landau damping

(VoR) Voss R.F., Clarke, J., 1/f noise in Music and speech, Nature 258 (1975) 317-318

(VoR1) Voss R. F., 1/f (flicker) noise: A brief Review, Proc. 32rd Annual Symposium on Frequency Control, Atlantic City, (1979) 40-46


Waldmann L., Transporterscheinungen in Gasen von mittlerem Druck


Waldschmidt M., Introduction to Diophantine methods irrationality and transcendence


Waldschmidt M., Irrationality and transcendence of values of special functions


Walha I., Riesz basis of exponential family for a hyperbolic system


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


Weyl H., Purely infinitesimal geometry (excerpt)


Weyl H., Reine Infinitesimalgeometrie


White M., Cohn J. D., The Theory of Anisotropies Cosmic Microwave Background


Whittaker J. M., The Fourier Theory of the Cardinal Funxtion


Whittaker J. M., On the Cardinal Function of Interpolation Theory

H. Weyl Singuläre Integralgleichungen.pdf


Weyl H., Matter, structure of the world, principle of action


Weyl H., Space, Time, Matter, introduction.pdf

Weyl H., Das Kontinuum, Eine kritische Untersuchung ueber die Grundlagen der Analysis

Wheeler J. A., On the Nature of Quantum Geometrodynamics


Wiles A., Modular elliptic curves and Fermat s Last Theorem


Wise D. K., Geometrodynamics and Lorentz symmetry


Wolfart J., Werte hypergeometrischer Funktionen

Zhechev B., Hilbert Transform Relations

Lions P. L., On Boltzmann and Landau equations

Lions P. L., Compactness in Boltzmann s Fourier integral operators and applications

Montagnini B., The eigenvalue spectrum of the linear Boltzmann operator in L(1)(R(6)) and L(2)(R(6))

Vidav I., Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator

Aziz A. K.,, Kellogg R. B., Finite element analysis of a scattering problem, scattering

Berry M. V., Riemann s Zeta function, a model for quantum chaos


Conrad K., Probability distributions and maximum entropy

Marsh C., Introduction to Continuous Entropy

Willett D., Wong J. S. W., On the discrete Analogues of Some Generalizations of Gronwall s Inequality

Ibrahim H., A Generalization of a Logarithmic Sobolev Inequality to the Hoelder Class

Brauer F., Bounds for solutions of ordinary differential equations

Krall A. M., Spectral Analysis for the Generalized Hermite Polynomials

Lakshmikantham V., Upper and lower bounds of the norm of solutions of differential systems

Langenhop C. E., Bounds on the norm of a solution of a general differential equation

Wong W.-C., Kant s Conception of Ether as a Field, in the Opus posthumum


Yan-Bin Jia, Quaternions and Rotations


Ye R., Ricci Flow, Einstein Metrics and Space Forms


Zbiral G., Dark matter and dark energy as a derivate from cosmic photon radiation


Zbiral G., Does Gravitation Have an Influence on Electromagnetism


Zbiral G., the dynamic gravitation of photons from the perspective of Maxwell s wave equations


Zikkos E., On the excess of complex exponential systems in L(2)(-a,a)