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Extension Theorems for Spheres in the Fi...

Iosevich, Alex...

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Extension Theorems for Spheres in the Finite Field Setting by Iosevich, Alex ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-08-2023
Summary	In this paper we study the boundedness of extension operators associated with spheres in vector spaces over finite fields.In even dimensions, we estimate the number of incidences between spheres and points in the translated set from a subset of spheres. As a result, we improve the Tomas-Stein exponents, our previous results. The analytic approach and the explicit formula for Fourier transform of the characteristic function on spheres play an important role to get good bounds for exponential sums.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/0712.1627

Citation

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AMA 11th EditionReferences

Iosevich, Alex. Extension Theorems for Spheres in the Finite Field Setting. Australian National University. August 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/2140

APA 7th EditionReferences

Iosevich, Alex. (2023). Extension Theorems for Spheres in the Finite Field Setting. Australian National University. https://online.provdatabase.com/cite/2140

Chicago 17th EditionReferences

Iosevich, Alex. Extension Theorems for Spheres in the Finite Field Setting. Australian National University. 2023. https://online.provdatabase.com/cite/2140

HarvardReferences

Iosevich, Alex. (2023). Extension Theorems for Spheres in the Finite Field Setting. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/2140. (Accessed 20 September 2024).

Harvard AustraliaReferences

Iosevich, Alex, 2023, Extension Theorems for Spheres in the Finite Field Setting, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/2140>

MLA 9th EditionWorks Cited

Iosevich, Alex. Extension Theorems for Spheres in the Finite Field Setting. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/2140.

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