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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 |
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
Berndt B. C., the Rogers-Ramanujan identities |
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 |
Blohmann C., et all, Groupoid symmetry and constraints in general relativity |
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 |
Brand H., Idealtheorie in Quaternionenalgebren |
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 |
Carlitz L., Note on irregular primes |
L. Carlitz, Some theorems on Kummer s congruences |
Chakraborty K., Hoque A., Quadratic reciprocity and some non-differentiable functions |
Chaudhury K. N., On the Hilbert Transforms of Wavelets |
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Chouly F., et. all, An overview of recent results on Nitsche s method for contact problems |
(CoG) Cornell G., et al., Modular Forms and Fermat s Last Theorem, p. 508-516 |
Coan B., Perng C., Factorization of Hurwitz Quaternions |
(CoJ) Coates J., Sujatha R., Cyclotomic fields and zeta values |
Costabel M., Coercive Bilinear Form for Maxwell s Equations |
Craven T. et al., Zeros of derivatives of entire functions |
Crisan D., Erban R., On the counting function of semiprimes |
Csardas G., Fourier transforms of positive definite kernels and the Riemann Zeta-Function |
Dahlke S., Maass P., The Affine Uncertainty Principle in One and Two Dimensions |
Dahlke S., Weinreich I., Wavelet Bases Adapted to Pseudodifferential Operators |
Dedekind R, Ueber die Anzahl der Idealklassen in reinen kubischen Zahlkörpern |
van Delden, J., An estimate on the density of semiprimes pq in an interval of fixed width |
Derezinski J., On radial Schroedinger operators with a Coulomb potential |
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 |
Dunn A., Radziwill M., Bias in cubic Gauss sums, Patterson s conjecture |
Ebbinghaus H., et al., Zahlen |
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 |
Glowinski R. et al., wavelet methods in computational fluid dynamics |
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 |
Heath-Brown D. R., Patterson S. J., The distribution of Kummer sums at prime arguments |
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 |
Hofmann S. et all, L(p) bounds for the Riesz transforms associated with the Hodge Laplacian in Lipschitz subdomains of Riemannian manifolds |
Holschneider M., Tchamitchian, Pointwise analysis of Riemann s nondifferentiable function |
Hurwitz, Vorlesungen über die Zahlentheorie der Quaternionen, Rezension |
Ishmukhametov Sh., T., Sharifullina F. F., On Distribution of Semiprimes Numbers |
Jaffard S., A Density Criterion for Frames of Complex Exponentials |
Jaffard S., The spectrum of singularities of Riemann s function |
M. Johansson The Hilbert transform.pdf |
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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 |
Koecher M., Remmert R., Hamilton s Quaternions |
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 |
Krishnaswami G., Sachdev S., Algebra and geometry of Hamiltons quaternions |
Kuipers J. B., Quaternions and rotation sequences |
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 |
Kummer E. E., De residuis cubicis disquisitiones nonnnullae analyticae |
Kummer E. E., Eine Aufgabe, betreffend die Theorie der cubischen Reste |
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 |
Luca F. et. al., On the counting function of irregular primes |
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 |
Pichler A., Analytic Number Theory, Lecture Notes, Selected Topics |
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 |
