Timeline for $L^1$ norm for a product of cosines
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 23, 2023 at 9:53 | comment | added | Kurisuto Asutora | The value of $c$ that you suggest would correspond to the classical heuristics that lacunary function systems behave like independent random variables. I'm not sure if this applies here. Fouvry and Mauduit studied the problem in this post, but for sin instead of cos and 2 instead of 3 (I don't know if that makes a real difference). They proved the existence of a limit, but couldn't calculate the precise value (but it's larger than 2/pi). See E. Fouvry & C. Mauduit. Sommes des chiffres et nombres presque premiers. Math. Ann., 305(3):571–599, 1996. Cf. also arxiv.org/pdf/1502.06738.pdf. | |
| Dec 19, 2023 at 15:30 | vote | accept | Itachi | ||
| Dec 16, 2023 at 19:23 | comment | added | Giorgio Metafune | Thank you........ | |
| Dec 16, 2023 at 17:10 | history | answered | Aleksei Kulikov | CC BY-SA 4.0 |