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New restriction estimates for the 3-d paraboloid over finite fields.
- Source :
-
Advances in Mathematics . Jan2015, Vol. 270, p457-479. 23p. - Publication Year :
- 2015
-
Abstract
- We improve the range of exponents for the restriction problem for the 3-d paraboloid over finite fields. The key new ingredient is a variant of the Bourgain–Katz–Tao finite field incidence theorem derived from sum-product estimates. In prime order fields, we give an explicit relationship between the exponent in this incidence theorem and restriction estimates for the paraboloid. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 270
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 100023612
- Full Text :
- https://doi.org/10.1016/j.aim.2014.11.008