Timeline for Striking applications of Baker's theorem
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
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| Nov 26, 2019 at 19:39 | answer | added | Gorav Jindal | timeline score: 2 | |
| Jul 28, 2010 at 2:21 | answer | added | Felipe Voloch | timeline score: 7 | |
| Jul 28, 2010 at 1:55 | answer | added | Gerry Myerson | timeline score: 12 | |
| Jul 27, 2010 at 23:36 | history | edited | Wadim Zudilin |
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| Jul 27, 2010 at 23:34 | answer | added | Wadim Zudilin | timeline score: 13 | |
| Jul 27, 2010 at 23:16 | comment | added | Wadim Zudilin | Anweshi, I think that the only ones I have in mind are these two, no surprise. :-) I'll post an example of applications in diophantine approximations. An exponential diophantine equation where Baker's theorem is of no help is presented in mathoverflow.net/questions/25661. | |
| Jul 27, 2010 at 22:32 | comment | added | Anweshi | @Wadim: Aha! You are more surprised when Baker's theorem fails to settle a diophantine equation! I was under the impression that Baker's theorem is mainly good for exponential diophantine equations and also that for fixed diophantine equations of low degree Baker may not always work. Anyway the original question could be phrased again as: Are there important applications of Baker's theorem besides bounding the solutions of diophantine equations, and results on transcendence? Are you aware of any besides these two? | |
| Jul 27, 2010 at 22:13 | comment | added | Wadim Zudilin | Anweshi, all applications of Baker's (and not only!) estimates for linear forms in logs are quite striking. What strikes me more is that certain diophantine equations cannot be "finalised" (ie, reduced to a finite amount of solutions) using Baker. | |
| Jul 27, 2010 at 21:55 | history | edited | KConrad | CC BY-SA 2.5 |
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| Jul 27, 2010 at 21:06 | comment | added | Anweshi | @JSE: I didn't say that the question was "I want to promote Baker's theorem". I specifically highlighted the question and the rest was background and motivation, which MO seems to require before answering a question. | |
| Jul 27, 2010 at 20:17 | comment | added | JSE | I don't think "I want to promote X" is an appropriate question (indeed, it isn't a question at all) but the embedded "Tell me what theorem Y is good for" question seems fine. | |
| Jul 27, 2010 at 18:58 | history | asked | Anweshi | CC BY-SA 2.5 |