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
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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},
year = {2000},
volume = {67},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2000_67_2_a1/}
}
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