The Laplace transform of Dirichlet L-functions

Aidas Balčiūnas; Antanas Laurinčikas

doi:10.15388/NA.17.2.14063

Articles

Aidas Balčiūnas

Vilnius University, Lithuania

Antanas Laurinčikas

Vilnius University, Lithuania

Published 2012-04-25

https://doi.org/10.15388/NA.17.2.14063

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Keywords

Dirichlet L-function
functional equation
Laplace transform
Riemann zeta-function

How to Cite

Balčiūnas, A. and Laurinčikas, A. (2012) “The Laplace transform of Dirichlet L-functions”, Nonlinear Analysis: Modelling and Control, 17(2), pp. 127–138. doi:10.15388/NA.17.2.14063.

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Abstract

In the paper, a formula for the Laplace transform of the square of Dirichlet L-functions on the critical line is obtained.

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