Timeline for Exponential sums over a linear subspace
Current License: CC BY-SA 4.0
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| Sep 11 at 21:08 | history | edited | GWB | CC BY-SA 4.0 |
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| Sep 11 at 20:21 | answer | added | Eric S. | timeline score: 1 | |
| Sep 11 at 15:51 | comment | added | Will Sawin | For arbitrary $f$ there are ideas from combinatorics about structure vs. randomness e.g. results of Green and Tao on equidistribution of polynomials over finite fields and various followups to that. | |
| Sep 11 at 15:48 | comment | added | Will Sawin | I don't know any references specific to the case of exponential sums over subspaces, but the subspace is of course a vector space, and there exist many techniques for dealing with exponential sums over vector spaces, that can be potentially applied. For $p$ large (with respect to $d$) and $f$ good (in the sense of being a generic or random polynomial) there are geometric techniques as in Katz's notes on singular exponential sums. For $f$ structured there is the method of Weyl differencing. | |
| Sep 11 at 15:15 | history | asked | GWB | CC BY-SA 4.0 |