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JOURNALS // Chebyshevskii Sbornik

Chebyshevskii Sb., 2011, Volume 12, Issue 1, Pages 172–177 (Mi cheb68)

The Hecke–Kesten problem for some integrals
A. V. Shutov

References

1. Krasilschikov V. V., Shutov A. V., “Opisanie i tochnye znacheniya maksimuma i minimuma ostatochnogo chlena problemy raspredeleniya drobnykh dolei”, Matematicheskie zametki, 89:1 (2011), 43–52  mathnet  crossref  mathscinet
2. Shutov A. V., “O minimalnykh sistemakh schisleniya”, Issledovaniya po algebre, teorii chisel, funktsionalnomu analizu i smezhnym voprosam, 4, Izd-vo Saratovskogo Universiteta, Saratov, 2007, 125–138
3. Shutov A. V., “Optimalnye otsenki v probleme raspredeleniya drobnykh dolei na mnozhestvakh ogranichennogo ostatka”, Vestnik SamGU. Estestvennonauchnaya seriya, 2007, no. 7(57), 168–175
4. Shutov A. V., “O raspredelenii drobnykh dolei”, Chebyshevskii sbornik, 5:3 (2004), 112–121  mathscinet  zmath
5. Shutov A. V., “O raspredelenii drobnykh dolei, II”, Issledovaniya po algebre, teorii chisel, funktsionalnomu analizu i smezhnym voprosam, 3, Iz-vo Saratovskogo Universiteta, Saratov, 2005, 146–158
6. Shutov A. V., “Sistemy schisleniya i mnozhestva ogranichennogo ostatka”, Chebyshevskii sbornik, 7:3 (2006), 110–128  mathscinet  zmath
7. Drmota M., Tichy R., Sequences, discrepancies and applications, Springer, 1997  mathscinet
8. Furstenberg H., Keynes M., Shapiro L., “Prime flows in topological dynamics”, Israel J. Math., 14 (1973), 26–38  crossref  mathscinet  zmath
9. Hecke E., “Eber Analytische Funktionen und die Verteilung van Zahlen mod Eins”, Math. Sem. Hamburg Univ., 5 (1921), 54–76
10. Kesten H., “On a conjecture of Erdös and Szüsz related to uniform distribution mod 1”, Acta Arithmetica, 12 (1966), 193–212  mathscinet  zmath
11. Oren I., “Admissible functions with multiplie discontinioutes”, Israel J. Math., 42 (1982), 353–360  crossref  mathscinet  zmath  isi
12. Petersen K., “On a series of cosecants related to a problem in ergodic theory”, Compositio Math., 26 (1973), 313–317  mathscinet  zmath
13. Pinner C. G., “On Sums of Fractional Parts $\{n\alpha+\gamma\}$”, J. Number Theory, 65 (1997), 48–73  crossref  mathscinet  zmath  isi
14. Shutov A. V., “New estimates in the Hecke-Kesten problem”, Anal. Probab. Methods Number Theory, ed. E. Manstavičisus et al., TEV, Vilnius, 2007  mathscinet  zmath
15. Weyl H., “Über die Gibbs'sche Erscheinung und verwandte Konvergenzphänomene”, Rendicontidel Circolo Mathematico di Palermo, 30 (1910), 377–407  crossref  zmath


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