V. A. Gorelov, “Algebraic independence of the values of $E$-functions at singular points and Siegel's conjecture”, Mat. Zametki, 67:2 (2000), 174–190; Math. Notes, 67:2 (2000), 138

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Matematicheskie Zametki, 2000, Volume 67, Issue 2, Pages 174–190
DOI: https://doi.org/10.4213/mzm826 (Mi mzm826)

This article is cited in 6 scientific papers (total in 6 papers)

Algebraic independence of the values of

E

$E$ -functions at singular points and Siegel's conjecture

V. A. Gorelov

Moscow Power Engineering Institute (Technical University)

Full-text PDF (241 kB) Citations (6)

References:

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DOI: https://doi.org/10.4213/mzm826

Received: 09.02.1999
Revised: 27.09.1999

English version:
Mathematical Notes, 2000, Volume 67, Issue 2, Pages 138–151
DOI: https://doi.org/10.1007/BF02686240

Bibliographic databases:

UDC: 511.36

Language: Russian

Citation: V. A. Gorelov, “Algebraic independence of the values of

E

$E$ -functions at singular points and Siegel's conjecture”, Mat. Zametki, 67:2 (2000), 174–190; Math. Notes, 67:2 (2000), 138–151

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm826

https://doi.org/10.4213/mzm826

https://www.mathnet.ru/eng/mzm/v67/i2/p174

This publication is cited in the following 6 articles:

V. A. Gorelov, “On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions”, Math. Notes, 115:2 (2024), 173–181
Alin Bostan, Tanguy Rivoal, Bruno Salvy, “Minimization of differential equations and algebraic values of 𝐸-functions”, Math. Comp., 93:347 (2023), 1427
T. Rivoal, J. Roques, Springer Proceedings in Mathematics & Statistics, 373, Transcendence in Algebra, Combinatorics, Geometry and Number Theory, 2021, 473
V. A. Gorelov, “On the weakened Siegel's conjecture”, J. Math. Sci., 146:2 (2007), 5649–5654
V. A. Gorelov, “On the Structure of the Set of $E$ -Functions Satisfying Linear Differential Equations of Second Order”, Math. Notes, 78:3 (2005), 304–319
V. A. Gorelov, “On the Siegel Conjecture for Second-Order Homogeneous Linear Differential Equations”, Math. Notes, 75:4 (2004), 513–529

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	176
References:	49
First page:	1

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