Abstract
We apply geometric incidence estimates in positive characteristic to prove the optimal L2→L3 Fourier extension estimate for the paraboloid in the four-dimensional vector space over a prime residue field. In three dimensions, when −1 is not a square, we prove an L2→L[Formula presented] extension estimate, improving the previously known exponent [Formula presented].
Original language | English |
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Pages (from-to) | 657-671 |
Number of pages | 15 |
Journal | Advances in Mathematics |
Volume | 339 |
Early online date | 4 Oct 2018 |
DOIs | |
Publication status | Published - 1 Dec 2018 |
Keywords
- Finite fields
- Restriction problem
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Profiles
-
Dr Misha Rudnev
- School of Mathematics - Senior Lecturer in Pure Mathematics
- Number theory and combinatorics
- Pure Mathematics
Person: Academic , Member