On quasi-periods of abelian functions with complex multiplication
Fonctions abéliennes et nombres transcendants, Mémoires de la Société Mathématique de France, Série 2, no. 2 (1980), pp. 55-68.
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     title = {On quasi-periods of abelian functions with complex multiplication},
     booktitle = {Fonctions ab\'eliennes et nombres transcendants},
     editor = {Bertrand, Daniel and Waldschmidt, Michel},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
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     number = {2},
     year = {1980},
     doi = {10.24033/msmf.280},
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     url = {http://archive.numdam.org/articles/10.24033/msmf.280/}
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Masser, D. W. On quasi-periods of abelian functions with complex multiplication, dans Fonctions abéliennes et nombres transcendants, Mémoires de la Société Mathématique de France, Série 2, no. 2 (1980), pp. 55-68. doi : 10.24033/msmf.280. http://archive.numdam.org/articles/10.24033/msmf.280/

[1] M. Anderson, Linear forms in algebraic points of an elliptic function, Transcendence theory : advances and applications (Eds. A. Baker and D. W. Masser), Academic Press, London (1977). | MR

[2] S. Lang, Diophantine approximation on abelian varieties with complex multiplication, Advances in Math. 17 (1975), 281-336. | MR | Zbl

[3] S. Lefschetz, Algebraic geometry, Oxford University Press, London 1953. | MR | Zbl

[4] D. W. Masser, Some vector spaces associated with two elliptic functions, Transcendence theory : advances and applications (Eds. A. Baker and D. W. Masser), Academic Press, London 1977. | MR | Zbl

[5] D. W. Masser, The transcendence of certain quasi-periods associated with abelian functions in two variables, Compositio Math. 35 (1977), 239-258. | Numdam | MR | Zbl

[6] D. W. Masser, Diophantine approximation and lattices with complex multiplication, Inventiones Math. 45 (1978), 61-82. | MR | Zbl

[7] G. Shimura and Y. Taniyama, Complex multiplication of abelian varieties and its applications to number theory, Publ. Math. Soc. Japan Vol. 6, Tokyo 1961. | MR | Zbl

[8] G. Shimura, Automorphic forms and the periods of abelian varieties, J. Math. Soc. Japan 31 (1979), 561-592. | MR | Zbl

[9] C. L. Siegel, Topics in complex function theory, Vol. III, Wiley-Interscience, New York 1963. | Zbl

[10] M. Waldschmidt, Nombres transcendants et groupes algébriques, Astérisque 69-70, 1979. | Numdam | MR | Zbl

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