Timeline for When is the period of elliptic curve over the rationals transcendental?
Current License: CC BY-SA 4.0
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Aug 18, 2022 at 18:04 | history | edited | Glorfindel | CC BY-SA 4.0 |
broken link fixed, cf. https://meta.mathoverflow.net/q/5301/70594
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Jun 16, 2010 at 14:11 | comment | added | Wadim Zudilin | Michel is definitely in this business for many years; I guess one can dig more from his webpage. | |
Jun 16, 2010 at 14:07 | comment | added | Charles Matthews | Much more is in Waldschmidt's slides at modular.math.washington.edu/swc/aws/08/slides/… . The first result seems to have been by Siegel. | |
Jun 16, 2010 at 13:50 | comment | added | Wadim Zudilin | You are right: David Masser had several transcendence results for elliptic functions, periods and quasi-periods. (Schneider proved that the values of the modular invariant at non-CM points are transcendental.) Don't remember anything quantitative in this respect from Baker and Coates (the non-Archimedean case?). Chudnovsky proved that among the two periods and two corresponding quasi-periods there are at least 2 algebraically independent numbers. | |
Jun 16, 2010 at 13:36 | history | answered | Charles Matthews | CC BY-SA 2.5 |