Geodesic
Diophantine Problems for $q$-Zeta Values
Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 936-940.

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

@article{MZM_2002_72_6_a13,
     author = {W. V. Zudilin},
     title = {Diophantine {Problems} for $q${-Zeta} {Values}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {936--940},
     publisher = {mathdoc},
     volume = {72},
     number = {6},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a13/}
}
TY  - JOUR
AU  - W. V. Zudilin
TI  - Diophantine Problems for $q$-Zeta Values
JO  - Matematičeskie zametki
PY  - 2002
SP  - 936
EP  - 940
VL  - 72
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a13/
LA  - ru
ID  - MZM_2002_72_6_a13
ER  - 
%0 Journal Article
%A W. V. Zudilin
%T Diophantine Problems for $q$-Zeta Values
%J Matematičeskie zametki
%D 2002
%P 936-940
%V 72
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a13/
%G ru
%F MZM_2002_72_6_a13
W. V. Zudilin. Diophantine Problems for $q$-Zeta Values. Matematičeskie zametki, Tome 72 (2002) no. 6, pp. 936-940. http://geodesic.mathdoc.fr/item/MZM_2002_72_6_a13/

[1] Polia G., Sege G., Zadachi i teoremy iz analiza, Ch. 2. 3 izd., Nauka, M., 1978

[2] Kaneko M., Kurokawa N., Wakayama M., (June 2002) E-print math.QA/0206171

[3] Nikishin E. M., Matem. sb., 109 (151):3 (7) (1979), 410–417 | MR | Zbl

[4] Gutnik L. A., Acta Arith., 42:3 (1983), 255–264 | MR | Zbl

[5] Nesterenko Yu. V., Matem. zametki, 59:6 (1996), 865–880 | MR | Zbl

[6] Chudnovsky G. V., Ann. of Math. (2), 117:2 (1983), 325–382 | DOI | MR | Zbl

[7] Rukhadze E. A., Vestn. MGU. Ser. 1. Matem., mekh., 1987, no. 6, 25–29 | MR

[8] Hata M., J. Reine Angew. Math., 407:1 (1990), 99–125 | MR | Zbl

[9] Rhin G., Viola C., Acta Arith., 77:1 (1996), 23–56 | MR | Zbl

[10] Rhin G., Viola C., Acta Arith., 97:3 (2001), 269–293 | DOI | MR | Zbl

[11] Gasper G., Rakhman M., Bazisnye gipergeometricheskie ryady, Mir, M., 1993 | Zbl

[12] Bundschuh P., Väänänen K., Compositio Math., 91 (1994), 175–199 | MR | Zbl

[13] Van Assche W., The Ramanujan J., 5:3 (2001), 295–310 | DOI | MR | Zbl

[14] Zudilin W., Manuscripta Math., 107:4 (2002), 463–477 | DOI | MR | Zbl

[15] Heine E., J. Reine Angew. Math., 34 (1847), 285–328

[16] Zudilin W., {http://arxiv.org/abs/math/0206176v1}{E-print math.NT/0206176} (August 2001)

[17] Zudilin V. V., Matem. sb., 193:8 (2002), 49–70 | MR | Zbl

[18] Nesterenko Yu. V., Matem. sb., 187:9 (1996), 65–96 | MR | Zbl

[19] Apéry R., Astérisque, 61, 1979, 11–13 | Zbl

[20] Askey R., Appl. Anal., 8 (1978), 125–141 | DOI | MR | Zbl

[21] Exton H., $q$-Hypergeometric Functions and Applications, Ellis Horwood Ser. Math. Appl., Ellis Horwood Ltd., Chichester, 1983

[22] Lindemann F., Math. Annalen, 20 (1882), 213–225 | DOI | MR

[23] Andrews G. E., Lewis R., Liu Z.-G., Bull. London Math. Soc., 33 (2001), 25–31 | DOI | MR | Zbl

[24] Matala-aho T., Väänänen K., Bull. Austral. Math. Soc., 58 (1998), 15–31 | DOI | MR | Zbl

[25] Waldschmidt M., J. Théorie des Nombres de Bordeaux, 12 (2000), 581–595 | MR | Zbl