On the generalized Erdős–Falconer distance problems over finite fields

Author:

Vinh Le Anh

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference13 articles.

1. The Probabilistic Method;Alon,2000

2. A sum product estimate in finite fields and applications;Bourgain;Geom. Funct. Anal.,2004

3. Pinned distance sets, k-simplices, Wolffʼs exponent in finite fields and sum-product estimates;Chapman;Math. Z.,2012

4. Exponential Sums and the Distribution of Solutions of Congruences;Cochrane,1994

5. Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős–Falconer distance conjecture;Hart;Trans. Amer. Math. Soc.,2011

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1. The quotient set of the quadratic distance set over finite fields;Forum Mathematicum;2024-01-02

2. ON THE TWO-PARAMETER ERDŐS–FALCONER DISTANCE PROBLEM IN FINITE FIELDS;Bulletin of the Australian Mathematical Society;2022-09-29

3. Distribution of the determinants of sums of matrices;Revista Matemática Iberoamericana;2020-10-26

4. The Generalized k-Resultant Modulus Set Problem in Finite Fields;Journal of Fourier Analysis and Applications;2018-06-26

5. Distinct distances on regular varieties over finite fields;Journal of Number Theory;2017-04

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