The Hecke--Kesten problem for some integrals
Čebyševskij sbornik, Tome 12 (2011) no. 1, pp. 172-177.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{CHEB_2011_12_1_a12,
     author = {A. V. Shutov},
     title = {The {Hecke--Kesten} problem for some integrals},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {172--177},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2011_12_1_a12/}
}
TY  - JOUR
AU  - A. V. Shutov
TI  - The Hecke--Kesten problem for some integrals
JO  - Čebyševskij sbornik
PY  - 2011
SP  - 172
EP  - 177
VL  - 12
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2011_12_1_a12/
LA  - ru
ID  - CHEB_2011_12_1_a12
ER  - 
%0 Journal Article
%A A. V. Shutov
%T The Hecke--Kesten problem for some integrals
%J Čebyševskij sbornik
%D 2011
%P 172-177
%V 12
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2011_12_1_a12/
%G ru
%F CHEB_2011_12_1_a12
A. V. Shutov. The Hecke--Kesten problem for some integrals. Čebyševskij sbornik, Tome 12 (2011) no. 1, pp. 172-177. http://geodesic.mathdoc.fr/item/CHEB_2011_12_1_a12/

[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 | DOI | MR

[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 | MR | Zbl

[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 | MR | Zbl

[7] Drmota M., Tichy R., Sequences, discrepancies and applications, Springer, 1997 | MR

[8] Furstenberg H., Keynes M., Shapiro L., “Prime flows in topological dynamics”, Israel J. Math., 14 (1973), 26–38 | DOI | MR | Zbl

[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 | MR | Zbl

[11] Oren I., “Admissible functions with multiplie discontinioutes”, Israel J. Math., 42 (1982), 353–360 | DOI | MR | Zbl

[12] Petersen K., “On a series of cosecants related to a problem in ergodic theory”, Compositio Math., 26 (1973), 313–317 | MR | Zbl

[13] Pinner C. G., “On Sums of Fractional Parts $\{n\alpha+\gamma\}$”, J. Number Theory, 65 (1997), 48–73 | DOI | MR | Zbl

[14] Shutov A. V., “New estimates in the Hecke-Kesten problem”, Anal. Probab. Methods Number Theory, ed. E. Manstavičisus et al., TEV, Vilnius, 2007 | MR | Zbl

[15] Weyl H., “Über die Gibbs'sche Erscheinung und verwandte Konvergenzphänomene”, Rendicontidel Circolo Mathematico di Palermo, 30 (1910), 377–407 | DOI | Zbl