Integrals of certain Dirichlet series

Pablo A. Panzone

doi:10.15446/recolma.v54n1.89775

Published

2020-01-01

Integrals of certain Dirichlet series

Integrales de ciertas series de Dirichlet

DOI:

https://doi.org/10.15446/recolma.v54n1.89775

Keywords:

Dirichlet Series, Integrals (en)
Integrales, Series de Dirichlet (es)

Downloads

PDF (Español)

Authors

Pablo A. Panzone Universidad Nacional del Sur

Abstract (en)
Abstract (es)

We compute in closed form the integrals of certain expressions involving a class of Dirichlet series. This is a generalization of a formula of Jonathan Borwein to a problem stated (and solved) by A. Ivić.

Calculamos en forma cerrada integrales de ciertas expresiones que involucran una clase de series de Dirichlet. Esto es una generalización de una fórmula de Jonathan Borwein a un problema enunciado (y resuelto) por A. Ivić.

References

J. Borwein, A Class of Dirichlet Series Integrals, The American Mathematical Monthly 114 (2007), 70-76.

I. D. Gradshteyn and I. M. Ryzhik, Table of integrals series and products, Academic Press, 1965.

A. Ivic, Solution to a Monthly Problem # 10939, proposed by A. Ivic, with his solution in The American Mathematical Monthly 110 (2003), 847-848.

How to Cite

APA

Panzone, P. A. (2020). Integrals of certain Dirichlet series. Revista Colombiana de Matemáticas, 54(1), 13–17. https://doi.org/10.15446/recolma.v54n1.89775

ACM

[1]

Panzone, P.A. 2020. Integrals of certain Dirichlet series. Revista Colombiana de Matemáticas. 54, 1 (Jan. 2020), 13–17. DOI:https://doi.org/10.15446/recolma.v54n1.89775.

ACS

(1)

Panzone, P. A. Integrals of certain Dirichlet series. rev.colomb.mat 2020, 54, 13-17.

ABNT

PANZONE, P. A. Integrals of certain Dirichlet series. Revista Colombiana de Matemáticas, [S. l.], v. 54, n. 1, p. 13–17, 2020. DOI: 10.15446/recolma.v54n1.89775. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/89775. Acesso em: 9 mar. 2025.

Chicago

Panzone, Pablo A. 2020. “Integrals of certain Dirichlet series”. Revista Colombiana De Matemáticas 54 (1):13-17. https://doi.org/10.15446/recolma.v54n1.89775.

Harvard

Panzone, P. A. (2020) “Integrals of certain Dirichlet series”, Revista Colombiana de Matemáticas, 54(1), pp. 13–17. doi: 10.15446/recolma.v54n1.89775.

IEEE

[1]

P. A. Panzone, “Integrals of certain Dirichlet series”, rev.colomb.mat, vol. 54, no. 1, pp. 13–17, Jan. 2020.

MLA

Panzone, P. A. “Integrals of certain Dirichlet series”. Revista Colombiana de Matemáticas, vol. 54, no. 1, Jan. 2020, pp. 13-17, doi:10.15446/recolma.v54n1.89775.

Turabian

Panzone, Pablo A. “Integrals of certain Dirichlet series”. Revista Colombiana de Matemáticas 54, no. 1 (January 1, 2020): 13–17. Accessed March 9, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/89775.

Vancouver

1.

Panzone PA. Integrals of certain Dirichlet series. rev.colomb.mat [Internet]. 2020 Jan. 1 [cited 2025 Mar. 9];54(1):13-7. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/89775