Riemann Hypothesis
Unified Field Theory
Euler-Mascheroni
Literature
literature II
literature III
Who I am


Literature I

  

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)


      

Buterin S. A. et al., Lectures on the theory of entire functions


                         

Carlitz L., Note on irregular primes


          

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

                     

Chen Distance function wavelets part 1


(CoG) Cornell G., et al., Modular Forms and Fermat s Last Theorem, p. 508-516


     

(CoJ) Coates J., Sujatha R., Cyclotomic fields and zeta values

          

Craven T. et al., Zeros of derivatives of entire functions

    

Crisan D., Erban R., On the counting function of semiprimes

    

van Delden, J., An estimate on the density of semiprimes pq in an interval of fixed width

  

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

       

Bernays P., Über die Darstellung von positiven, ganzen Zahlen durch die primitiven, binären quadratischen Formen ....

                         

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

  

Dedekind R, Ueber die Anzahl der Idealklassen in reinen kubischen Zahlkörpern


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

    

Hasse H., Die Kummersche Vermutung fuer kubische Charaktere nach einem Primzahlmodul


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

      

Hecke E., Analytische Arithmetik der positiven quadratischen Formen

 

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
   


Ishmukhametov Sh., T., Sharifullina F. F., On Distribution of Semiprimes Numbers

                         

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
 

   

Kirchhoff G., Ueber die Bewegung eines Rotationskörpers in einer Fluessigkeit
 

   

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

                         

Koskivaara O., The Hilbert Transform


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

                              

Kummer E. E., Zur Theorie der complexen Zahlen


Kummer E. E., Ueber die Zerlegung der aus Wurzeln der Einheit gebildeten complexen Zahlen in ihre Primfactoren

 

Kummer E. E., 6. Bestimmung der Anzahl nicht aequivalenter Classen fuer die aus Wurzeln der Einheit ....



Kummer E. E., 7. Zwei besondere Untersuchungen ueber die Classen-Anzahl und ueber die Einheiten der aus .. gebildeten complexen Zahlen


        

Kummer E. E., 8. Allgemeiner Beweis des Fermatschen Satzes .....


                                     

Kummer s main theorem

                             

Kummer s work on cyclotomic fields

                                   

Kummer s irregularity index
 
                

Kummer E., Beitrag zur Theorie der Gamma Function
 

                      

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

    

Mezo I., A note on the zeros and local extrema of Digamma related functions


Mellin Abriss einer einheitlichen Theorie der Gamma und hypergeometrischen Fktn

                

Milne J. S., Class Field Theory, lecture notes, August 6, 2020


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

     

Peters M., Darstellungen durch definite tertiäre quadratische Formen

             

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

              

Ribenboim P., Die Welt der Primzahlen, S. 229-233

                              

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

                        

Stammbach U., Die eindeutige Primfaktorenzerlegung

                             

The confluent hypergeometric function

                

Tong H., Introducing Quaternions to Integer Factorization

            

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

     

Waerden van, B., Die Reduktionstheorie der positiven quadratischen Formen

           

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