Timeline for Are the logarithms of the integer polynomials discrete in $L^1$ of the unit circle?
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Jun 24, 2019 at 14:23 | vote | accept | Vesselin Dimitrov | ||
Jun 24, 2019 at 13:53 | answer | added | fedja | timeline score: 9 | |
Jun 22, 2019 at 16:34 | comment | added | Yemon Choi | Thanks @FedorPetrov - indeed I was just being slow | |
Jun 22, 2019 at 16:29 | comment | added | Fedor Petrov | @Yemonchoi if $P(z)=\sum c_n z^n$, then $\frac1{2\pi}\int_0^{2\pi} P(e^{it})e^{-ikt} dt=c_k$. Thus $\|P\|_{L^1}\geqslant \max_k |c_k|$ and the distance between two distinct integer polynomials is not less than $1$. | |
Jun 22, 2019 at 15:11 | comment | added | Yemon Choi | I don't quite understand your first remark - could you elaborate? Probably I am just being slow and missing something | |
Jun 22, 2019 at 9:31 | history | edited | Vesselin Dimitrov | CC BY-SA 4.0 |
deleted 1 character in body
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Jun 22, 2019 at 9:26 | history | asked | Vesselin Dimitrov | CC BY-SA 4.0 |