Equidistribution of Polynomial Sequences in Function Fields, with Applications
| dc.contributor.author | Hoang Le, Thai | |
| dc.contributor.author | Liu, Yu-Ru | |
| dc.contributor.author | Wooley, Trevor D. | |
| dc.date.accessioned | 2023-10-03T15:18:03Z | |
| dc.date.available | 2023-10-03T15:18:03Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We provide a function field analog of Weyl's classical theorem on equidistribution of polynomial sequences. Our result covers the case in which the degree of the polynomial is greater than or equal to the characteristic of the field, which is a natural barrier when applying the Weyl differencing process to function fields. We also discuss applications to van der Corput, intersective and Glasner sets in function fields. | en |
| dc.description.sponsorship | NSERC Discovery Grant || NSF grants DMS-1854398, DMS-2001549 | en |
| dc.identifier.uri | http://hdl.handle.net/10012/20010 | |
| dc.language.iso | en | en |
| dc.publisher | University of Waterloo | en |
| dc.subject | equidistribution | en |
| dc.subject | function fields | en |
| dc.subject | intersective sets | en |
| dc.subject | van der Corput sets | en |
| dc.subject | Glasner sets | en |
| dc.title | Equidistribution of Polynomial Sequences in Function Fields, with Applications | en |
| dc.type | Preprint | en |
| dcterms.bibliographicCitation | Hoang Le, T., Liu, Y.-R. & Wooley, T.D. (2023). Equidistribution of Polynomial Sequences in Function Fields, with Applications. University of Waterloo. [Preprint]. | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Pure Mathematics | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |