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Matematicheskie Zametki, 2000, Volume 68, Issue 5, Pages 761–770
DOI: https://doi.org/10.4213/mzm996
(Mi mzm996)
 

Properties of Algebraic Equations on the Set of $E$-Functions over the Field of Rational Functions

A. B. Shidlovskii

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (182 kB) Citations (1)
References:
Abstract: The paper presents several theorems on the linear and algebraic independence of the values at algebraic points of the set of $E$-functions related by algebraic equations over the field of rational functions, as well as some estimates of the absolute values of polynomials with integer coefficients in the values of such functions. The results are obtained by using the properties of ideals in the ring of polynomials of several variables formed by equations relating the above functions over the field of rational functions.
Received: 22.01.2000
English version:
Mathematical Notes, 2000, Volume 68, Issue 5, Pages 644–651
DOI: https://doi.org/10.1023/A:1026679809925
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: A. B. Shidlovskii, “Properties of Algebraic Equations on the Set of $E$-Functions over the Field of Rational Functions”, Mat. Zametki, 68:5 (2000), 761–770; Math. Notes, 68:5 (2000), 644–651
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v68/i5/p761
  • This publication is cited in the following 1 articles:
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