About Dirichlet Series and Applications

Authors

DOI:

https://doi.org/10.26713/cma.v13i3.1449

Keywords:

Dirichlet series, Abscissas of convergence, Dirichlet Algebra, Applications

Abstract

We will study in this article, some classes of Dirichlet series while binding with the arithmetic functions. Some applications are provided.

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References

N. Daili, About Dirichlet’s transformation and theoretic-arithmetic functions, General Mathematics Notes 3(2) (2011), 108 – 112, URL: https://www.emis.de/journals/GMN/yahoo_site_admin/assets/docs/12_GMN-1001-V3N2.160133217.pdf.

G. H. Hardy and M. Riesz, The General Theory of Dirichlet’s Series, Cambridge University Press, (1915), URL: http://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=ha000578936.

J. Knopfmacher, Abstract Analytic Number Theory, 1st edition, North-Holland Publishing Company, 321 pages (1975), URL: https://www.elsevier.com/books/abstract-analytic-number-theory/knopfmacher/978-0-444-10779-4.

K. Knopp, Theorie und anwendung der unendlichen reihen, 5th edition, Springer-Verlag, New York (1964), URL: https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/k-knopp-theorie-und-anwendung-der-unendlichen-reihen-springer-5th-edition-1964-582-pp-dm-48/56BDEDF149410E5D62BDA09C09D4CE72.

S. Mandelbrojt, Séries de Dirichlet, Principes et Méthodes, Monographies Internationales de Mathématiques Modernes Vol. 11, Gauthier-Villard, Paris (1969).

J.-P. Serre, A Course in Arithmetic, Chapter VI, Springer-Verlag (1973).

E. C. Titchmarsh, The Theory of Functions, 2nd edition, Oxford University Press (1958).

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Published

25-12-2022
CITATION

How to Cite

Daili, N. (2022). About Dirichlet Series and Applications. Communications in Mathematics and Applications, 13(3), 1221–1235. https://doi.org/10.26713/cma.v13i3.1449

Issue

Vol. 13 No. 3 (2022)

Section

Research Article

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