Shidlovskii Andrei Borisovich

Publications in Math-Net.Ru

1. Properties of Algebraic Equations on the Set of $E$-Functions over the Field of Rational Functions
   
   Mat. Zametki, 68:5 (2000),  761–770
2. Arithmetical properties of the values of $E$-functions
   
   Mat. Zametki, 66:3 (1999),  452–458
3. On the algebraic independence of values of $E$-functions
   
   Trudy Mat. Inst. Steklova, 218 (1997),  439–443
4. On criteria for the linear and algebraic dependence of values of $E$-functions at algebraic points
   
   Uspekhi Mat. Nauk, 51:2(308) (1996),  179–180
5. Linear independence of values of $E$-functions
   
   Mat. Sb., 187:8 (1996),  93–108
6. On the linear independence of values of $E$-functions
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 4,  53–56
7. Linear independence of values of $E$-functions related by a single algebraic equation over the field of rational functions
   
   Mat. Zametki, 58:5 (1995),  794–797
8. On the linear independence of the values of $E$-functions at algebraic points
   
   Mat. Zametki, 55:2 (1994),  174–185
9. On algebraic independence of the values of $E$-functions connected by algebraic equations over the field of rational functions
   
   Trudy Mat. Inst. Steklov., 207 (1994),  369–376
10. Transcendence of the values of $E$-functions that are solutions of second order linear differential equations
    
    Mat. Sb., 184:5 (1993),  75–84
11. On the transcendence of values of a subclass of $E$-functions
    
    Uspekhi Mat. Nauk, 47:4(286) (1992),  215–216
12. On the algebraic independence of values of $E$-functions
    
    Uspekhi Mat. Nauk, 46:4(280) (1991),  175–176
13. Algebraic independence of values of $E$-functions at algebraic points
    
    Mat. Zametki, 45:1 (1989),  115–122
14. A criterion for algebraic independence of the values of an $E$-function at algebraic points
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 6,  17–21
15. On the transcendence and algebraic independence of the values of some classes of analytic functions
    
    Trudy Mat. Inst. Steklov., 180 (1987),  232–234
16. On the algebraic independence of values of $E$-functions at algebraic points
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 1,  30–33
17. The basic lemma of the method of proof of algebraic independence of values of $E$ -functions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 6,  94–98
18. On estimates for polynomials in values of $E$-functions
    
    Mat. Sb. (N.S.), 115(157):1(5) (1981),  3–39
19. On the arithmetic properties of values of $E$-functions connected by algebraic equations in the rational function field
    
    Dokl. Akad. Nauk SSSR, 251:4 (1980),  808–812
20. A bound for the measure of the mutual transcendence of values of $E$-functions connected by arbitrary algebraic equations over $\mathbb{C}(z)$
    
    Uspekhi Mat. Nauk, 35:2(212) (1980),  227–228
21. On arithmetic properties of the values of E-functions at algebraic points
    
    Dokl. Akad. Nauk SSSR, 248:1 (1979),  50–55
22. On arithmetic properties of values of analytic functions
    
    Trudy Mat. Inst. Steklov., 132 (1973),  169–202
23. The methods of A. O. Gelfond in the theory of transcendental numbers
    
    Uspekhi Mat. Nauk, 25:1(151) (1970),  201–202
24. Algebraic independence of the values of certain hypergeometric $E$-functions
    
    Tr. Mosk. Mat. Obs., 18 (1968),  55–64
25. Transcendence measure estimates for the values of $E$-functions
    
    Mat. Zametki, 2:1 (1967),  33–44
26. On estimates of the measure of transcendentality of the values of $E$-functions
    
    Uspekhi Mat. Nauk, 22:3(135) (1967),  245–246
27. The development and present state of the theory of transcendental numbers
    
    Uspekhi Mat. Nauk, 22:3(135) (1967),  3–81
28. On a general theorem on the algebraic independence of values of $E$-functions
    
    Dokl. Akad. Nauk SSSR, 171:4 (1966),  810–813
29. Transcendence and algebraic independence of values of $E$-functions satisfying linear nonhomogeneous differential equations of the second order
    
    Dokl. Akad. Nauk SSSR, 169:1 (1966),  42–45
30. Transcendency and algebraic independence of values of $E$-functions related by an arbitrary number of algebraic equations over the field of rational functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 26:6 (1962),  877–910
31. A generalization of Lindemann's theorem
    
    Dokl. Akad. Nauk SSSR, 138:6 (1961),  1301–1304
32. A criterion for algebraic independence of the values of a class of entire functions
    
    Izv. Akad. Nauk SSSR Ser. Mat., 23:1 (1959),  35–66
33. Transcendentality and algebraic independence of the values of certain functions
    
    Tr. Mosk. Mat. Obs., 8 (1959),  283–320
34. Transcendence and algebraic independence of the values of entire functions of certain classes
    
    Uch. Zap. Mosk. Gos. Univ., 186 (1959),  11–70


35. Anatolii Alekseevich Karatsuba (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 53:2(320) (1998),  173–176
36. Aleksei Georgievich Postnikov (obituary)
    
    Uspekhi Mat. Nauk, 53:1(319) (1998),  202–206
37. Naum Il'ich Feld'man (obituary)
    
    Uspekhi Mat. Nauk, 50:6(306) (1995),  157–162
38. Yevgeny Mikhailovich Nikishin
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  110–111
39. In memory of Naum Il'ich Fel'dman [1918–1994]
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  108–109
40. Aleksandr Adol'fovich Bukhshtab (obituary)
    
    Uspekhi Mat. Nauk, 46:1(277) (1991),  201–202
41. Vyacheslav Alekseevich Oleinikov (obituary)
    
    Uspekhi Mat. Nauk, 45:1(271) (1990),  163–165
42. In memory of Evgenij Mikhajlovich Nikishin
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 6,  88–91
43. All-Union conference “Theory of Transcendental Numbers and its Applications”
    
    Uspekhi Mat. Nauk, 39:6(240) (1984),  251–252
44. All-Union Conference on Problems of Analytic Number Theory and Its Applications
    
    Uspekhi Mat. Nauk, 30:3(183) (1975),  198–200
45. Aleksandr Osipovich Gel'fond (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 22:3(135) (1967),  247–256
46. Correction to the article “Transcendentality and algebraic independence of the values of certain functions” (Trudy Mosk. Matem. Ob-va 8(1959))
    
    Tr. Mosk. Mat. Obs., 10 (1961),  438