Timeline for Efficient boxing for a mean value in the Bombieri Iwaniec method
Current License: CC BY-SA 4.0
7 events
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| May 20, 2020 at 10:36 | comment | added | user156885 | Great, Thanks again. Efficient boxing does seem more natural for this problem although a p-adic approach would be nice | |
| May 18, 2020 at 14:52 | comment | added | K Hughes | (above comment continued) Wooley has already adapted his efficient congruencing to curves with non-vanishing Wronskian. So I think that there is some hope to give a p-adic version. For instance, a thorough understanding - much better than I currently have - of Wooley's nested efficient congruencing paper would probably indicate how to interpret, p-adically, such expressions as (2.11) on page 11 of the Bourgain paper that you referenced. | |
| May 18, 2020 at 14:52 | comment | added | K Hughes | Morally, if you can do something in one place, e.g. the infinite place which corresponds to the archimedean metric, then we should be able to do it in any other place, e.g. any p-adic metric. That said, it may be unclear how to adapt from one place to another. Looking at Bourgain's paper, at first glance I am uncertain how to interpret n^{3/2} p-adically. I think this issue is only psychological and that there is some p-adic version or approximation. Instead an essential point in Bourgain's paper is the non-vanishing Wronskian condition on his curves. | |
| May 15, 2020 at 22:08 | history | bounty ended | CommunityBot | ||
| May 15, 2020 at 5:16 | comment | added | user156885 | Many thanks for the reference. Do you also think there’s any way efficient congruencing with p-adic would work? | |
| May 15, 2020 at 5:15 | vote | accept | CommunityBot | ||
| May 14, 2020 at 18:12 | history | answered | K Hughes | CC BY-SA 4.0 |