Mark Bashmakov

Email: bashakov@sms.edu.pk

Course: Algebraic Number Theory

Publications (Reviews from MathSciNet)

[1] Bashmakov, M. I. On Bertrand's conjecture [Kvant 1974, no. 5, 4--7]. Kvant selecta: algebra and analysis, I, 21--26, Math. World, 14, Amer. Math. Soc., Providence, RI, 1999.

[2] Bashmakov, M. I. Do you like messing around with integers? [Kvant 1971, no. 3, 15--20]. Kvant selecta: algebra and analysis, I, 13--20, Math. World, 14, Amer. Math. Soc., Providence, RI, 1999.

[3] Bashmakov, M. I. Rational points on elliptic curves. (Russian) Translated in Proc. Steklov Inst. Math. 1991, no. 4, 19--26. Galois theory, rings, algebraic groups and their applications (Russian). Trudy Mat. Inst. Steklov. 183 (1990), 22--29, 223.

[4] Aleksandrov, A. D.; Bashmakov, M. I.; Borevich, Z. I.; Kublanovskaya, V. N.; Nikulin, M. S.; Skopin, A. I.; Yakovlev, A. V. Dmitri\u\i Konstantinovich Faddeev (on the occasion of his eightieth birthday). (Russian) Uspekhi Mat. Nauk 44 (1989), no. 3(267), 187--193; translation in Russian Math. Surveys 44 (1989), no. 3, 223--231.

[5] Bashmakov, M. I. Elliptic curves and units of number fields. (Russian) Rings and modules. Limit theorems of probability theory, No. 1 (Russian), 8--14, 212, Leningrad. Univ., Leningrad, 1986.

[6] Aleksandrov, P. S.; Ba\v smakov, M. I.; Borevi\v c, Z. I.; Kublanovskaja, V. N.; Skopin, A. I.; Sobolev, S. L.; Jakovlev, A. V. Dmitri\u\i Konstantinovi\v c Faddeev (on the occasion of his seventieth birthday). (Russian) Uspekhi Mat. Nauk 34 (1979), no. 2(206), 223--229.

[7] Ba\v smakov, M. I.; \v Cistov, A. L. Rationality of a class of tori. (Russian) Algebra, number theory and their applications. Trudy Mat. Inst. Steklov. 148 (1978), 27--29, 271.

[8] Ba\v smakov, M. I.; Kuro\v ckin, A. S. Selmer groups of supersingular elliptic curves. (Russian) Rings and linear groups. Zap. Nau\v cn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 75 (1978), 16--21, 194.

[9] Ba\v smakov, M. I.; Kuro\v ckin, A. S. Rational points on a certain modular curve in a cyclotomic $2$-extension. (Russian) Modules in representation theory and algebraic geometry. Zap. Naucn. Sem. Leningrad. Otdel Mat. Inst. Steklov. (LOMI) 57 (1976), 5--7, 176.

[10] Ba\v smakov, M. I.; Kuro\v ckin, A. S. The Selmer groups of the elliptic curve $X\sb{0}(32)$. (Russian) Modern algebra, No. 4 (Russian), pp. 3--10. Leningrad. Gos. Ped. Inst., Leningrad, 1976.

[11] Ba\v smakov, M. I.; Ke\v stov, R. A. The localization of the units of a number field. (Russian) Rings and modules. Zap. Nau\v cn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 64 (1976), 5--11, 159.

[12] Ba\v smakov, M. I.; Kirillov, A. N. Lutz filtration of formal groups. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 39 (1975), no. 6, 1227--1239, 1437.

[13] Ba\v smakov, M. I.; Al\cprime -Nader, N. \v Z. Behavior of the curve $x\sp{3}+y\sp{3}=1$ in a cyclotomic $\Gamma $-extension. (Russian) Mat. Sb. (N.S.) 90(132) (1973), 117--130, 166.

[14] Ba\v smakov, M. I. Cohomology of Abelian varieties over a number field. (Russian) Uspehi Mat. Nauk 27 (1972), no. 6(168), 25--66.

[15] Bachmakov, Marc Cohomologie des courbes elliptiques. (French) 1970 Séminaire Delange-Pisot-Poitou: 1969/70, Théorie des Nombres Fasc. 1, Exp. 12, 4 pp. Secrétariat mathématique, Paris.

[16] Bachmakov, Marc Un théorème de finitude sur la cohomologie des courbes elliptiques. (French) C. R. Acad. Sci. Paris Sér. A-B 270 1970 A999--A1001.

[17] Ba\v smakov, M. I. The \v Safarevi\v c-Tate group of an elliptic curve. (Russian) Mat. Zametki 7 1970 79--86.

[18] Ba\v smakov, M. I. The problem of imbedding of fields. (Russian) Mat. Zametki 4 1968 137--140.

[19] Ba\v smakov, M. I. The rank of abelian varieties. (Russian) Dokl. Akad. Nauk SSSR 181 1968 1031--1033.

[20] Ba\v smakov, M. I. On the divisibility of principal homogeneous spaces over Abelian varieties. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 28 1964 661--664.

[21] Ba\v smakov, M. I.; Faddeev, D. K. Simultaneous representation of zero by a pair of quadratic quaternary forms. (Russian) Vestnik Leningrad. Univ. 14 1959 no. 19, 43--46.