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Riemann Hypothesis, Goldbach conjecture, PNT, and all that
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Balasubramanian R., Siegel Zeros and the Goldbach Problem |
Barakat R., The derivatives of the Dawson function |
Berry M. V., Riemann s Zeta function, a model for quantum chaos |
Beurling A. A closure problem related to the Riemann Zeta-function |
Binham N. H., Szegoe s theorem and H(1 2) |
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Boutet de Monvel-Berthier A. et al., A boundary value problem related to the Ginzburg-Landau model.pdf |
Buterin S. A. et al., Lectures on the theory of entire functions |
Bedrosian E., A product theorem for Hilbert transform |
Bernays P., Über die Darstellung von positiven, ganzen Zahlen durch die primitiven, binären quadratischen Formen .... |
Bertrand J., Bertrand P., Ovarlez 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 |
Bleistein N., Handelsman R. A., Asymptotics Expansion of Integrals |
Boros G., Moll V. H., sums of arctangents and some formulas of Ramanujan |
Brand H., Idealtheorie in Quaternionenalgebren |
Braun K., A Kummer function based Zeta function theory to prove the Riemann Hypothesis and the binary Goldbach conjecture.pdf |
Braun K., A distributional way to prove the Goldbach conjecture leveraging the circle method, Jan 8, 2015.pdf |
D. Bump et al. A Local Riemann Hypothesis I |
J.-F. Burnol On Fourier and Zeta(s) |
Burnol J.-F., A note on Nyman s equivalent formulation of the Riemann Hypothesis |
Burnol J.-F., Scattering, determinants, hyperfunctions in relation to Gamma(1-s),Gamma(s) |
Cardon Convolution operators and zeros of entire functions |
Carlitz L., Note on irregular primes |
L. Carlitz, Some theorems on Kummer s congruences |
Chaudhury K. N., On the Hilbert Transforms of Wavelets |
Chen Distance function wavelets part 1 |
Conrey B., Riemann s Hypothesis |
(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 |
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 |
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 |
G. Doetsch Ueber die Singularitaeten der Mellin-Transformierten |
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Draxl P. Über gemeinsame separabel-quadratische Zerfällungskörper von Quaternionenalgebren.pdf |
Duistermaat J. J., Selfsimilarity of Riemann s Nondifferentiable Function |
Duffin Weinberger Dualization Poisson Summation Formula.pdf |
Dunn A., Radziwill M., Bias in cubic Gauss sums, Patterson s conjecture |
Ebbinghaus H.-D., Flum J., Thomas W. Mathematical logic |
Edwards H. M., Riemann s Zeta Function |
Elaissaoui L. et al., Log-Tangent Integrals and the Riemann Zeta Function |
Elaissaoui L., et al., Evaluation of Log-tangent Integrals by series involving zeta(2n+1) |
Elizalde E., Zeta functions, formulas and applications |
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 |
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Galambos J., Distribution of arithmetical functions. A survey |
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Ginzel I., Die konforme Abbildung durch die Gammafunktion |
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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 |
Helfgott H. A., Major Arcs for Goldbach s Prpblem |
Helfgott H. A., Minor Arcs for Goldbach s Prpblem |
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 |
Jahnke E., Emde F., Tables of Function with formula and Curves |
Kac M., Probability methods in some problems of analysis and number Theory |
Kac M., Statistical Independence in Probability, Analysis and Number Theory |
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 |
Koelbig K. S., The polygamma function and its derivatives for x equal 0.25 and 0.75 |
Korevaar J., Prime pairs and the zeta function |
Korevaar, J., Distributional Wiener Ikehara theorem and the twin primes |
Korevaar J., On a question of Brezis and Nirenberg concerning the degree of circle maps.pdf |
Koskivaara O., The Hilbert Transform |
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 |
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 |
Nasim C., On the summation Formula of Voronoi |
Peters M., Darstellungen durch definite tertiäre quadratische Formen |
Petersen Abelian and Tauberian Theorems Philosophy |
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 |
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 |
Polya G., 1931, Problem 108, Jahresber. Dtsch. Math. Ver. 40, Part 2, 81 |
Polya 's theorem |
Polya G., Bemerkungen ueber die Integraldarstellung der Riemannschen Zeta-Funktion.pdf |
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., Ueber die algebraisch-funktionentheoretischen Untersuchungen von J. L. W. V. Jensen |
Polya Ueber eine neue Weise bestimmte Integrale in der Zahlentheorie zu gebrauchen |
Polya Ueber das Vorzeichen des Restgliedes m Primzahlsatz |
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 |
Rudin W., Real And Complex Analysis.pdf |
Riemann B., Ueber die Darstellbarkeit einer Function durch eine trigonometrische Reihe |
Riemann article english |
Riemann handwritten paper from 1859 |
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 |
Sebah P., Gourdon X., Introduction to the Gamma function |
Sedletskii A. M., Asymptotics of the Zeros of Degenerate Hypergeometric Functions |
Sedletskii A. M., On the Zeros of Laplace Transfroms |
Segal G., Unitary Representations of some Infinite Dimensional Groups.pdf |
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 |
Vaaler J. D., Some extremal functions in Fourier analysis |
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 |
Vindas J., Estrada R., A quick distributional way to the prime number theorem |
Waerden van, B., Die Reduktionstheorie der positiven quadratischen Formen |
Wang Yuan, The Goldbach conjecture |
Weyl H., Ueber die Gleichverteilung von Zahlen mod 1 |
Wiener N., The mean square modulus of a function |
