The Laplace transform of Dirichlet $L$-functions
A. Balčiūnas, R. Macaitienė

References
1.	Atkinson A. A., “The mean value of the zeta-function on the critical line”, Quart. J. Math. Oxford, 10 (1939), 122–128
2.	Apostol T. M., Introduction to Analytic Number Theory, Springer, Berlin, 1976
3.	Balčiūnas A., Laurinčikas A., “The Laplace transform of Dirichlet L-functions”, Nonlinear Anal. Model. Control., 17 (2012), 127–138
4.	Voronin A. A., Karatsuba A. A., Dzeta-funktsiya Rimana, Fizmatlit, M., 1994
5.	Ivič A., “The Voronoi identity via the Laplace transform”, Ramanujan J., 2 (1988), 39–45
6.	Ivič A., “The Laplace transform of the square in the circle an divisor problems”, Studia Sci. Math-Hung., 32 (1996), 181–205
7.	Ivič A., “The Laplace and Mellin transforms of powers of the Riemann zeta-function”, Int. J. Math. Anal., 1–2 (2006), 113–140
8.	Iwaniec H., Kowalski E., Analytic number theory, Amer. Math. Soc., Colloq. Publ., 53, 2004
9.	Jutila M., “Mean values of Dirichlet series via Laplace transform, in Analytic number theory”, London Math. Soc. Lecture Note, 247, Cambridge Univ. Press, Cambridge, 1997, 169–207
10.	Kačinskaitė R., Laurinčikas A., “The Laplace transform of the Riemann zeta-function in the critical strip”, Integral Transf. Spec. Funct., 20 (2009), 643–648
11.	Karatsuba A. A., Osnovy analiticheskoi teorii chisel, Nauka, M., 1983
12.	Lukkarinen M., The Mellin transform of the square of Riemann's zeta-function and Atkinson's formula, Ann. Acad. Sci. Fenn. Math. Diss., 140, Suomalainen Tiedeakatemia, Helsinki, 2005
13.	Prachar K., Primzahlverteilung, Springer-Verlag, Götingen–Heidelberg–Berlin, 1957
14.	Titchmarsh E. C., Theory of Functions, Oxford University Press, Oxford, 1939
15.	Titchmarsh E. C., The Theory of the Riemann Zeta- Function, 2nd ed., revised by D. R. Heath-Brown, Clarendon Press, Oxford, 1986