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@article{MZM_2000_67_2_a1, author = {V. A. Gorelov}, title = {Algebraic independence of the values of $E$-functions at singular points and {Siegel's} conjecture}, journal = {Matemati\v{c}eskie zametki}, pages = {174--190}, publisher = {mathdoc}, volume = {67}, number = {2}, year = {2000}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2000_67_2_a1/} }
TY - JOUR AU - V. A. Gorelov TI - Algebraic independence of the values of $E$-functions at singular points and Siegel's conjecture JO - Matematičeskie zametki PY - 2000 SP - 174 EP - 190 VL - 67 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2000_67_2_a1/ LA - ru ID - MZM_2000_67_2_a1 ER -
V. A. Gorelov. Algebraic independence of the values of $E$-functions at singular points and Siegel's conjecture. Matematičeskie zametki, Tome 67 (2000) no. 2, pp. 174-190. http://geodesic.mathdoc.fr/item/MZM_2000_67_2_a1/
[1] Siegel C. L., “Über einige Anwendungen Diophantischer Approximationen”, Abh. Preuss. Akad. Wiss., Phys.-Math. Kl., 1929–1930, no. 1, 1–70
[2] Shidlovskii A. B., Transtsendentnye chisla, Nauka, M, 1987
[3] Siegel C. L., Transcendental Numbers, Princeton Univ. Press, Princeton, 1949
[4] Galochkin A. I., “O kriterii prinadlezhnosti gipergeometricheskikh funktsii Zigelya klassu $E$-funktsii”, Matem. zametki, 29:1 (1981), 3–14 | MR | Zbl