Локальные и глобальные методы в~арифметике
Matematicheskoe Prosveshchenie, Matematicheskoe Prosveshchenie (2008), pp. 55-79.

Voir la notice de l'article provenant de la source Math-Net.Ru

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     author = {A. A. Panchishkin},
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     journal = {Matematicheskoe Prosveshchenie},
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A. A. Panchishkin. Локальные и глобальные методы в~арифметике. Matematicheskoe Prosveshchenie, Matematicheskoe Prosveshchenie (2008), pp. 55-79. http://geodesic.mathdoc.fr/item/MP_2008_a6/

[1] Borevich Z. I., Shafarevich I. R., Teoriya chisel, izd. 3e, dop., Nauka, M., 1985 | MR | Zbl

[2] Koblits N., $p$-adicheskie chisla, $p$-adicheskii analiz i dzeta funktsii, Mir, M., 1982 | MR

[3] Mamford D., Abelevy mnogoobraziya, Mir, M., 1971

[4] Ostrik V. V., Tsfasman M. A., Algebraicheskaya geometriya i teoriya chisel: ratsionalnye i ellipticheskie krivye, MTsNMO, M., 2005

[5] Prasolov V. V., Solovev Yu. P., Ellipticheskie funktsii i algebraicheskie uravneniya, Faktorial, M., 1997

[6] Serr Zh.-P., Kurs arifmetiki, Mir, M., 1972 | MR | Zbl

[7] Stepanov S. A., Arifmetika algebraicheskikh krivykh, Nauka, M., 1991 | MR

[8] Shafarevich I. R., Osnovy algebraicheskoi geometrii, t. 1–2, izd. 2e, Nauka, M., 1988 | MR

[9] Batut C., Belabas K., Bernardi H., Cohen H., Olivier M., The PARI/GP number theory system, http://pari.math.u-bordeaux.fr

[10] Cassels J. W. S., “Diophantine equations with special reference to elliptic curves”, J. Lond. Math. Soc., 41 (1966), 193–291 | DOI | MR

[11] Buhler J. P., Gross B. H., Zagier D. B., “On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank 3”, Mathematics of Computation, 44:170 (1985), 473–481 | DOI | MR | Zbl

[12] Manin Yu. I., Selected papers of Yu. I. Manin, World Scientific Series in 20th Century Mathematics, 3, World Scientific Publishing Co., Inc., River Edge, NJ, 1996, xii+600 pp. | MR

[13] Manin Yu. I. and Panchishkin A. A., Introduction to Modern Number Theory, 2nd ed., Encyclopaedia of Mathematical Sciences, 49, Springer-Verlag, 2005, 514 pp. ; MTsNMO, M., 2008 | MR | Zbl

[14] Stein W., An Explicit Approach to Number Theory, http://modular.fas.harvard.edu/edu/Fall2001/124/lectures/lectures_ all/lectures.pdf

[15] Wiles A., The Birch and Swinnerton-Dyer Conjecture, http://www.claymath.org/millennium/Birch_ and_ Swinnerton-Dyer_ Conjecture/birchswin.pdf