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ЖУРНАЛЫ // Чебышевский сборник

Чебышевский сб., 2010, том 11, выпуск 1, страницы 31–46 (Mi cheb185)

A discrete limit theorem for the Mellin transforms of the Riemann zeta-function
V. Balinskaitė, A. Laurinčikas

Список литературы

1. V. Balinskaitė, A. Laurinčikas, “Discrete limit theorems for the Mellin transform of the Riemann zeta-function”, Acta Arithmetica, 131:1 (2008), 29–42  mathscinet  zmath  adsnasa  isi
2. P. Billingsley, Convergence of probability measures, John Wiley & Sons, New York, 1968  mathscinet  zmath
3. H. Bohr, B. Jessen, “Über die Wertverteilung der Riemannschen Zetafunktion, I”, Acta Math., 54 (1930), 1–35  mathscinet  zmath
4. H. Bohr, B. Jessen, “Über die Wertverteilung der Riemannschen Zetafunktion, II”, Acta Math., 58 (1932), 1–55  mathscinet
5. J. B. Conway, Functions of One complex Variable, Springer, Berlin, 2001  mathscinet
6. H. Heyer, Probability Measures on Locally Compact Groups, Springer, Berlin, 1977  mathscinet  zmath
7. A. Ivič, M. Jutila, Y. Motohashi, “The Mellin transform of powers of the zeta-function”, Acta Arithmetica, 95 (2000), 305–342  mathscinet  zmath  isi
8. M. Jutila, “The Mellin transform of the square of Riemann's zeta-function”, Period. Math. Hungar., 42 (2001), 179–190  mathscinet  zmath
9. A. Laurinčikas, Limit Theorems for the Riemann Zeta-Function, Kluwer Academic Publishers, Dordrecht–Boston–London, 1996  mathscinet
10. A. Laurinčikas, “Limit theorems for the Mellin transform of the square of the Riemann zeta-function, I”, Acta Arithmetica, 122:2 (2006), 173–184  mathscinet  zmath  adsnasa  isi
11. A. Laurinčikas, “Limit theorems for the Mellin transform of the square of the Riemann zeta-function, I”, Acta Arithmetica, 122:2 (2006), 173–184  mathscinet  zmath  adsnasa  isi; Corr., Acta Arithmetica (to appear)
12. M. Lukkarinen, “The Mellin transform of the square of Riemann's zeta-function and Atkinson formula”, Ann. Acad. Sci. Fenn. Math. Diss., 140 (2005)  mathscinet  zmath


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