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Diophantine approximation on abelian varieties with complex multiplication

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References

  1. Baker, A.: Transcendental numbers. Cambridge: Cambridge University Press 1975

    Google Scholar 

  2. Coates, J.: An application of the division theory of elliptic functions to diophantine approximation. Inventiones math.11, 167–182 (1970)

    Google Scholar 

  3. Coates, J.: On the analogue of Baker's theorem for elliptic integrals. Unpublished 1972

  4. Lang, S.: Diophantine Geometry. New York: Interscience 1962

    Google Scholar 

  5. Lang, S.: Diophantine approximation on abelian varieties with complex multiplication. Advances in Math. (1975)

  6. Lang, S.: Diophantine approximations on toruses. Am. J. Math.86, 521–533 (1964)

    Google Scholar 

  7. Masser, D.: Elliptic functions and transcendence. Lecture Notes in Math.437. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

  8. Masser, D.: Linear forms in algebraic points of abelian functions 1. Math. Proc. Camb. Phil. Soc.77, 499–513 (1975)

    Google Scholar 

  9. Ribet, K.: Division points on abelian varieties. To appear, Compositions Math.

  10. Shimura, G., Taniyama, Y.: Complex multiplication of abelian varieties. Pub. Math. Soc. Japan, 1961

  11. Bashmakov, M.: Un théoreme de finitude sur la cohomologie des courbes élliptiques. C. R. Acad. Sci. Paris270, Série A, 999–1001 (1970)

    Google Scholar 

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Coates, J., Lang, S. Diophantine approximation on abelian varieties with complex multiplication. Invent Math 34, 129–133 (1976). https://doi.org/10.1007/BF01425479

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