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Список литературы
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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 |
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Воронин А. А., Карацуба А. А., Дзета-функция Римана, Физматлит, М., 1994 |
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Ivič A., “The Voronoi identity via the Laplace transform”, Ramanujan J., 2 (1988), 39–45 |
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Ivič A., “The Laplace transform of the square in the circle an divisor problems”, Studia Sci. Math-Hung., 32 (1996), 181–205 |
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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 |
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Kačinskaitė R., Laurinčikas A., “The Laplace transform of the Riemann zeta-function in the critical strip”, Integral Transf. Spec. Funct., 20 (2009), 643–648 |
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Карацуба А. А., Основы аналитической теории чисел, Наука, М., 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 |