On the Convergence of Alternating Series Associated with Beatty Sequences
Matematičeskie zametki, Tome 107 (2020) no. 2, pp. 299-303.

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

Keywords: number series, Beatty sequence, measure of irrationality.
Mots-clés : convergence
@article{MZM_2020_107_2_a11,
     author = {A. V. Begunts},
     title = {On the {Convergence} of {Alternating} {Series} {Associated} with {Beatty} {Sequences}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {299--303},
     publisher = {mathdoc},
     volume = {107},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_2_a11/}
}
TY  - JOUR
AU  - A. V. Begunts
TI  - On the Convergence of Alternating Series Associated with Beatty Sequences
JO  - Matematičeskie zametki
PY  - 2020
SP  - 299
EP  - 303
VL  - 107
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2020_107_2_a11/
LA  - ru
ID  - MZM_2020_107_2_a11
ER  - 
%0 Journal Article
%A A. V. Begunts
%T On the Convergence of Alternating Series Associated with Beatty Sequences
%J Matematičeskie zametki
%D 2020
%P 299-303
%V 107
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2020_107_2_a11/
%G ru
%F MZM_2020_107_2_a11
A. V. Begunts. On the Convergence of Alternating Series Associated with Beatty Sequences. Matematičeskie zametki, Tome 107 (2020) no. 2, pp. 299-303. http://geodesic.mathdoc.fr/item/MZM_2020_107_2_a11/

[1] G. H. Hardy, J. E. Littlewood, Acta Math., 37:1 (1914), 193–239 | MR | Zbl

[2] G. I. Arkhipov, K. I. Oskolkov, Matem. sb., 134 (176):2 (10) (1987), 147–157 | MR | Zbl

[3] A. Begunts, D. Goryashin, Int. J. Math. Comput. Sci., 10:2 (2015), 157–173 | MR | Zbl

[4] A. V. Begunts, D. V. Goryashin, “O primenenii teoretiko-chislovykh metodov pri issledovanii skhodimosti chislovykh ryadov”, Matematika v vysshem obrazovanii, 2015, no. 13, 9–16 http://www.unn.ru/math/no/13/_nom13_001_beg_gor.pdf

[5] A. V. Begunts, Chebyshevskii sb., 6:2 (2005), 52–74 | MR | Zbl

[6] L. Keipers, G. Niderreiter, Ravnomernoe raspredelenie posledovatelnostei, Mir, M., 1985 | MR | Zbl

[7] K. Mahler, Bull. Austral. Math. Soc., 10:3 (1974), 325–335 | DOI | MR | Zbl

[8] V. Kh. Salikhov, Matem. zametki, 88:4 (2010), 583–593 | DOI | MR | Zbl

[9] Yu. V. Nesterenko, Matem. zametki, 88:4 (2010), 549–564 | DOI | MR | Zbl

[10] V. A. Androsenko, Izv. RAN. Ser. matem., 79:1 (2015), 3–20 | DOI | MR | Zbl

[11] M. G. Bashmakova, E. S. Zolotukhina, Chebyshevskii sb., 18:1 (2017), 29–43 | DOI | MR | Zbl

[12] A. A. Polyanskii, Matem. zametki, 103:4 (2018), 582–591 | DOI