caa a22 4500 475740947 CHVBK 20180406123459.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1026679809925 doi (NATIONALLICENCE)springer-10.1023/A:1026679809925 Shidlovskii A. M. V. Lomonosov Moscow State University, Russia aut Properties of Algebraic Equations on the Set of E -Functions over the Field of Rational Functions [Elektronische Daten] [A. Shidlovskii] 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. Plenum Publishing Corporation, 2000 prime ideal nationallicence E -function nationallicence algebraic independence nationallicence ring of polynomials nationallicence transcendency degree nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 644-651 0001-4346 68:5-6<644 2000 68 11006 https://doi.org/10.1023/A:1026679809925 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026679809925 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shidlovskii A. M. V. Lomonosov Moscow State University, Russia aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 644-651 0001-4346 68:5-6<644 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer