Galochkin, A. I. Certain arithmetic properties of coefficients of Kummer’s function. (English. Russian original) Zbl 1204.11118 J. Math. Sci., New York 146, No. 2, 5644-5648 (2007); translation from Fundam. Prikl. Mat. 11, No. 6, 27-32 (2005). MSC: 11J83 11J82 11K60 PDFBibTeX XMLCite \textit{A. I. Galochkin}, J. Math. Sci., New York 146, No. 2, 5644--5648 (2007; Zbl 1204.11118); translation from Fundam. Prikl. Mat. 11, No. 6, 27--32 (2005) Full Text: DOI
Galochkin, A. I. Estimates precise with respect to height for simultaneous approximations of some linear forms. (English. Russian original) Zbl 0990.11048 Mosc. Univ. Math. Bull. 55, No. 5, 40-43 (2000); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 5, 59-62 (2000). Reviewer: L. N. Chernetskaja (Kyïv) MSC: 11J91 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 55, No. 5, 59--62 (2000; Zbl 0990.11048); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 5, 59--62 (2000)
Galochkin, A. I. Global and unglobal relations among values of \(E\)-functions. (English. Russian original) Zbl 0986.11048 Mosc. Univ. Math. Bull. 55, No. 3, 29-31 (2000); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 3, 46-47 (2000). Reviewer: V. V. Shegai (Tashkent) MSC: 11J91 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 55, No. 3, 46--47 (2000; Zbl 0986.11048); translation from Vestn. Mosk. Univ., Ser. I 2000, No. 3, 46--47 (2000)
Galochkin, A. I. On proofs of the theorem of Lindemann and the theorem of Gelfond-Schneider. (Russian. English summary) Zbl 0939.11027 Fundam. Prikl. Mat. 3, No. 4, 1253-1260 (1997). Reviewer: P.Bundschuh (Köln) MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Fundam. Prikl. Mat. 3, No. 4, 1253--1260 (1997; Zbl 0939.11027)
Galochkin, A. I. Linear independence of values of functions satisfying Mahler functional equations. (English. Russian original) Zbl 1007.11046 Mosc. Univ. Math. Bull. 52, No. 5, 14-17 (1997); translation from Vestn. Mosk. Univ., Ser. I 1997, No. 5, 14-17 (1997). Reviewer: L. N. Chernetskaya (Kyïv) MSC: 11J72 11J91 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 52, No. 5, 14--17 (1997; Zbl 1007.11046); translation from Vestn. Mosk. Univ., Ser. I 1997, No. 5, 14--17 (1997)
Galochkin, A. I. Estimates for the number of zeros of some functions with algebraic Taylor coefficients. (English. Russian original) Zbl 0968.11028 Math. Notes 61, No. 6, 687-692 (1997); translation from Mat. Zametki 61, No. 6, 817-824 (1997). Reviewer: M.Waldschmidt (Paris) MSC: 11J91 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. Notes 61, No. 6, 687--692 (1997; Zbl 0968.11028); translation from Mat. Zametki 61, No. 6, 817--824 (1997) Full Text: DOI
Galochkin, A. I. Lower bounds for polynomials on values of algebraically dependent E-functions. (Russian. English summary) Zbl 0876.11038 Fundam. Prikl. Mat. 1, No. 1, 305-309 (1995). Reviewer: Zhu Yaochen (Beijing) MSC: 11J91 11J85 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Fundam. Prikl. Mat. 1, No. 1, 305--309 (1995; Zbl 0876.11038)
Galochkin, A. I.; Nesterenko, Yu. V.; Shidlovskiĭ, A. B. Introduction to number theory. 2nd ed. (Введение в теорию чисел.) (Russian) Zbl 0862.11002 Moskva: Izdatel’stvo Moskovskogo Universiteta. 160 p. (1995). MSC: 11-01 11A41 11J81 11N05 11J04 11M06 PDFBibTeX XMLCite \textit{A. I. Galochkin} et al., Введение в теорию чисел (Russian). 2nd ed. Moskva: Izdatel'stvo Moskovskogo Universiteta (1995; Zbl 0862.11002)
Galochkin, A. I. On approximation, by algebraic numbers, of the solutions of some equations containing \(E\)-functions. (English. Russian original) Zbl 0896.11028 Proc. Steklov Inst. Math. 207, 63-66 (1995); translation from Tr. Mat. Inst. Steklova 207, 66-69 (1994). Reviewer: Zhu Yaochen (Beijing) MSC: 11J17 11J85 11J91 33C60 PDFBibTeX XMLCite \textit{A. I. Galochkin}, in: Number theory and analysis. Proceedings of the International conference on number theory, Moscow (USSR), September 10-13, 1991, celebrating the one hundredth anniversary of the birth of academician I. M. Vinogradov. Collection of papers. Providence, RI: American Mathematical Society. 1 (1994; Zbl 0896.11028); translation from Tr. Mat. Inst. Steklova 207, 66--69 (1994)
Galochkin, A. I. On solutions of some equations involving E-functions. (Russian) Zbl 0767.11031 Vestn. Mosk. Univ., Ser. I 1992, No. 3, 22-27 (1992). Reviewer: Zhu Yaochen (Beijing) MSC: 11J91 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Vestn. Mosk. Univ., Ser. I 1992, No. 3, 22--27 (1992; Zbl 0767.11031)
Galochkin, A. I. On the solutions of certain equations containing \(E\)-functions. (English. Russian original) Zbl 0784.11036 Mosc. Univ. Mech. Bull. 47, No. 3, 22-26 (1992); translation from Vestn. Mosk. Univ., Ser. I 1992, No. 3, 22-27 (1992). MSC: 11J91 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Mech. Bull. 47, No. 3, 22--26 (1992; Zbl 0784.11036); translation from Vestn. Mosk. Univ., Ser. I 1992, No. 3, 22--27 (1992)
Galochkin, A. I. Estimates for conjugate linear forms. (English. Russian original) Zbl 0741.11031 Mosc. Univ. Math. Bull. 45, No. 5, 24-26 (1990); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 5, 25-28 (1990). MSC: 11J13 11J82 11J91 34A30 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 45, No. 5, 24--26 (1990; Zbl 0741.11031); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 5, 25--28 (1990)
Galochkin, A. I. Estimates of conjugate linear forms. (Russian) Zbl 0711.11025 Vestn. Mosk. Univ., Ser. I 1990, No. 5, 25-28 (1990). Reviewer: Xu Guangshan MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Vestn. Mosk. Univ., Ser. I 1990, No. 5, 25--28 (1990; Zbl 0711.11025)
Galochkin, A. I. On effective bounds for certain linear forms. (English) Zbl 0666.10022 New advances in transcendence theory, Proc. Symp., Durham/UK 1986, 207-214 (1988). Reviewer: Keijo Väänänen (Oulu) MSC: 11J81 34A99 PDFBibTeX XML
Galochkin, A. I. On an analog of Siegel’s method. (English) Zbl 0612.10027 Mosc. Univ. Math. Bull. 41, No. 2, 35-40 (1986). MSC: 11J81 11J85 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 41, No. 2, 35--40 (1986; Zbl 0612.10027)
Galochkin, A. I. On some analogue of Siegel’s method. (Russian) Zbl 0598.10040 Vestn. Mosk. Univ., Ser. I 1986, No. 2, 30-34 (1986). Reviewer: Yu Kunrui MSC: 11J91 11J81 11J85 11J25 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Vestn. Mosk. Univ., Ser. I 1986, No. 2, 30--34 (1986; Zbl 0598.10040)
Galochkin, A. I. Simultaneous approximation of values of certain entire functions. (Russian) Zbl 0633.10032 Diophantine approximations, 1, Collect. Artic., Moskva 1985, 17-25 (1985). Reviewer: Xu Guangshan MSC: 11J81 PDFBibTeX XML
Galochkin, A. I. On estimates, unimprovable with respect to height, of some linear forms. (English) Zbl 0578.10038 Math. USSR, Sb. 52, 407-419 (1985). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. USSR, Sb. 52, 407--419 (1985; Zbl 0578.10038) Full Text: DOI
Galochkin, A. I. On unimprovable estimates with respect to the height of some linear forms. (Russian) Zbl 0559.10028 Mat. Sb., N. Ser. 124(166), No. 3(7), 416-430 (1984). Reviewer: K.Väänänen MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mat. Sb., Nov. Ser. 124(166), No. 3(7), 416--430 (1984; Zbl 0559.10028) Full Text: EuDML
Galochkin, A. I.; Nesterenko, Yu. V.; Shidlovskij, A. B. Introduction to number theory. Textbook. (Vvedenie v teoriyu chisel. Uchebnoe posobie). (Russian) Zbl 0537.10001 Moskva: Izdatel’stvo Moskovskogo Universiteta. 152 p. R. 0.30 (1984). Reviewer: A.Ivić MSC: 11-01 11Axx 11J81 11N05 11J04 11A41 11M06 PDFBibTeX XML
Galochkin, A. I. Sur des estimations précises par rapport à la hauteur de certaines formes linéaires. (French) Zbl 0521.10027 Approximations diophantiennes et nombres transcendants, Colloq. Luminy/Fr. 1982, Prog. Math. 31, 95-98 (1983). Reviewer: Keijo Väänänen (Oulu) MSC: 11J91 PDFBibTeX XML
Galochkin, A. I. On a criterion for Siegel’s hypergeometric functions to belong. to the class of E-functions. (English. Russian original) Zbl 0456.10017 Math. Notes 29, 3-8 (1981); translation from Mat. Zametki 29, 3-14 (1981). MSC: 11J81 33C60 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. Notes 29, 3--8 (1981; Zbl 0456.10017); translation from Mat. Zametki 29, 3--14 (1981) Full Text: DOI
Galochkin, A. I. Transcendence measure of values of functions satisfying certain functional equations. (English) Zbl 0444.10029 Math. Notes 27, 83-88 (1980). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. Notes 27, 83--88 (1980; Zbl 0444.10029) Full Text: DOI
Galochkin, A. I. On a measure of transcendence for values of functions satisfying some functional equations. (Russian) Zbl 0426.10036 Mat. Zametki 27, 175-183 (1980). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mat. Zametki 27, 175--183 (1980; Zbl 0426.10036)
Galochkin, A. I. On Diophantine approximations of the values of some entire functions with algebraic coefficients. II. (English) Zbl 0418.10035 Mosc. Univ. Math. Bull. 34, No. 1, 26-31 (1979). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 34, No. 1, 26--31 (1979; Zbl 0418.10035)
Galochkin, A. I. On Diophantine approximations of the values of certain entire functions with algebraic coefficients. II. (Russian) Zbl 0413.10028 Vestn. Mosk. Univ., Ser. I 1979, No. 1, 26-30 (1979). MSC: 11J81 11J68 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Vestn. Mosk. Univ., Ser. I 1979, No. 1, 26--30 (1979; Zbl 0413.10028)
Galochkin, A. I. On Diophantine approximations of the values of certain entire functions with algebraic coefficients. I. (English) Zbl 0418.10034 Mosc. Univ. Math. Bull. 33, No. 6, 20-27 (1978). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 33, No. 6, 20--27 (1978; Zbl 0418.10034)
Galochkin, A. I. On Diophantine approximations of the values of certain entire functions with algebraic coefficients. I. (Russian) Zbl 0413.10027 Vestn. Mosk. Univ., Ser. I 1978, No. 6, 25-32 (1978). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Vestn. Mosk. Univ., Ser. I 1978, No. 6, 25--32 (1978; Zbl 0413.10027)
Galochkin, A. I. Arithmetic properties of the values of certain entire hypergeometric functions. (English) Zbl 0403.10013 Sib. Math. J. 17(1976), 894-906 (1977). MSC: 11J85 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Sib. Math. J. 17, 894--906 (1977; Zbl 0403.10013) Full Text: DOI
Galochkin, A. I. The sharpening of the bounds on certain linear forms. (English) Zbl 0341.10029 Math. Notes 20(1976), 575-581 (1977). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. Notes 20, 575--581 (1977; Zbl 0341.10029) Full Text: DOI
Galochkin, A. I. Über die arithmetischen Eigenschaften der Werte einiger ganzer hypergeometrischer Funktionen. (Russian) Zbl 0348.10025 Sib. Mat. Zh. 17, 1220-1235 (1976). MSC: 11J81 11J17 33C60 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Sib. Mat. Zh. 17, 1220--1235 (1976; Zbl 0348.10025)
Galochkin, A. I. Ein Praezisierung von Abschätzungen gewisser Linearformen. (Russian) Zbl 0336.10028 Mat. Zametki 20, 35-45 (1976). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mat. Zametki 20, 35--45 (1976; Zbl 0336.10028)
Galochkin, A. I. Lower bounds of linear forms of values of G functions. (English) Zbl 0323.10029 Math. Notes 18(1975), 911-917 (1976). MSC: 11J81 33C60 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. Notes 18, 911--917 (1976; Zbl 0323.10029) Full Text: DOI
Galochkin, A. I. Estimates from below of polynomials in the values of analytic functions of a certain class. (English) Zbl 0318.10023 Math. USSR, Sb. 24(1974), 385-407 (1976). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. USSR, Sb. 24, 385--407 (1976; Zbl 0318.10023) Full Text: DOI
Galochkin, A. I. Untere Schranken linearer Formen aus Werten einiger G-Funktionen. (Russian) Zbl 0319.10039 Mat. Zametki 18, 541-552 (1975). MSC: 11J81 33C60 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mat. Zametki 18, 541--552 (1975; Zbl 0319.10039)
Galochkin, A. I. Approximation of parameters of some hypergeometric functions. (English. Russian original) Zbl 0315.10022 Math. Notes 17, 59-65 (1975); translation from Mat. Zametki 17, 103-112 (1975). MSC: 11J81 11J17 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. Notes 17, 59--65 (1975; Zbl 0315.10022); translation from Mat. Zametki 17, 103--112 (1975) Full Text: DOI
Galochkin, A. I. Abschätzungen von unten von Polynomen von Werten einer Klasse analytischer Funktionen. (Russian) Zbl 0311.10035 Mat. Sb., N. Ser. 95(137), 396-417 (1974). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mat. Sb., Nov. Ser. 95(137), 396--417 (1974; Zbl 0311.10035)
Galochkin, A. I. On diophantine approximations of the values of an exponential function and the solutions of some transcendental equations. (English) Zbl 0259.10035 Mosc. Univ. Math. Bull. 27(1972), No. 3-4, 12-18 (1973). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 27, No. 3--4, 12--18 (1973; Zbl 0259.10035) Full Text: EuDML
Galochkin, A. I. The algebraic independence of values of E-functions at certain transcendental points. (English) Zbl 0245.10023 Mosc. Univ. Math. Bull. 25(1970), No. 5-6, 41-45 (1972). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mosc. Univ. Math. Bull. 25, No. 5--6, 41--45 (1972; Zbl 0245.10023)
Galochkin, A. I. Über diophantische Approximationen der Werte der Exponentialfunktion und der Lösungen einiger transzendenten Gleichungen. (Russian) Zbl 0243.10029 Vestn. Mosk. Univ., Ser. I 27, No. 3, 16-23 (1972). MSC: 11J81 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Vestn. Mosk. Univ., Ser. I 27, No. 3, 16--23 (1972; Zbl 0243.10029)
Galochkin, A. I. Abschätzungen linearer Formen von Werten gewisser hypergeometrischer Funktionen von unten. (English. Russian original) Zbl 0219.10035 Math. Notes 8(1970), 478-484 (1971); translation from Mat. Zametki 8, 19-28 (1970). MSC: 11J82 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Math. Notes 8, 478--484 (1971; Zbl 0219.10035); translation from Mat. Zametki 8, 19--28 (1970) Full Text: DOI
Galochkin, A. I. Estimate of the mutual transcendence measure of the values of \(E\)-functions. (Eine Abschätzung des Maßes der dualen Transzendenz der Werte der \(E\)-Funktionen.) (Russian) Zbl 0159.07103 Mat. Zametki 3, 377-386 (1968). Reviewer: Alan Baker MSC: 11J91 PDFBibTeX XMLCite \textit{A. I. Galochkin}, Mat. Zametki 3, 377--386 (1968; Zbl 0159.07103)