×

An elliptic analogue of the Franklin-Schneider theorem. (English) Zbl 0447.10034


MSC:

11J81 Transcendence (general theory)
11J68 Approximation to algebraic numbers

Citations:

Zbl 0355.10025
PDF BibTeX XML Cite
Full Text: DOI Numdam EuDML

References:

[1] L.V. Ahlfors . Complex analysis . 2nd edition. McGraw-Hill Book co. , New-York , 1966 . MR 510197 | Zbl 0154.31904 · Zbl 0154.31904
[2] A. Bijlsma . On the simultaneous approximation of a, b and ab . Compositio Math. 35 ( 1977 ), 99 - 111 . Numdam | MR 450206 | Zbl 0355.10025 · Zbl 0355.10025
[3] A. Bijlsma & P.L. Cijsouw . Dependence relations of logarithms of algebraic numbers . · Zbl 0484.10022
[4] W.D. Brownawell & D.W. Masser . Multiplicity estimates for analytic functions (I) . Zbl 0417.10027 · Zbl 0417.10027
[5] P.L. Cijsouw & M. Waldschmidt . Linear forms and simultaneous approximations . Compositio Math. 34 ( 1977 ), 173 - 197 . Numdam | Zbl 0345.10021 · Zbl 0345.10021
[6] N.I. FEL’DMAN . The periods of elliptic functions . (in Russian). Acta Arith. 24 ( 1973 /74), 477 - 489 . MR 340188 | Zbl 0273.10032 · Zbl 0273.10032
[7] S. Lang . Elliptic curves, diophantine analysis . Springer-Verlag , Berlin , 1978 . MR 518817 | Zbl 0388.10001 · Zbl 0388.10001
[8] D.W. Masser . Elliptic functions and transcendence . Lecture Notes in Mathematics 437 , Springer-Verlag , Berlin , 1975 . MR 379391 | Zbl 0312.10023 · Zbl 0312.10023
[9] D.W. Masser . Some recent results in transcendence theory . Astérisque 61 ( 1979 ), 145 - 154 . MR 556671 | Zbl 0402.10036 · Zbl 0402.10036
[10] E. Reyssat . Approximation algébrique de nombres liés aux fonctions elliptiques et exponentielle . Numdam | Zbl 0432.10018 · Zbl 0432.10018
[11] M. Waldschmidt . Nombres transcendants . Lecture Notes in Mathematics 402 . Springer-Verlag , Berlin , 1974 . MR 360483 | Zbl 0302.10030 · Zbl 0302.10030
[12] M. Waldschmidt . Simultaneous approximation of numbers connected with the exponential function . J. Austral. Math. Soc. (Ser. A ) 25 ( 1978 ), 466 - 478 . MR 506049 | Zbl 0388.10023 · Zbl 0388.10023
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.