Timeline for Question about log and exp of a formal group law
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Oct 26, 2021 at 2:54 | vote | accept | user474 | ||
| Oct 23, 2021 at 20:13 | history | edited | LSpice | CC BY-SA 4.0 |
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| Oct 23, 2021 at 20:03 | history | became hot network question | |||
| Oct 23, 2021 at 18:16 | answer | added | Lubin | timeline score: 13 | |
| Oct 23, 2021 at 8:46 | history | edited | Neil Strickland | CC BY-SA 4.0 |
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| Oct 23, 2021 at 8:17 | comment | added | David Loeffler | To echo something implicit in Dror's comment: the same issue arises when F is the multiplicative group law, so it might be best to understand that one first; in this case we have an explicit formula for the coefficients of log and exp, so the radius of convergence is easily computable. | |
| Oct 23, 2021 at 6:57 | comment | added | Dror Speiser | It's 1 to 1 in a neighborhood of 0, and so the identity is also. But as you say, it can't be true over all p-adic algebraic integers, even when restricted to positive valuation. Try to compute the radius of convergence of the log function. Note that all of this has an analogue over the complex numbers | |
| Oct 23, 2021 at 6:53 | history | edited | Alexey Ustinov |
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| Oct 23, 2021 at 6:18 | history | asked | user474 | CC BY-SA 4.0 |