On the Erdős–Falconer distance problem for two sets of different size in vector spaces over finite fields

Rainer Dietmann

Type: Article

Publication Date: 2013-01-03

Citations: 5

DOI: https://doi.org/10.1007/s00605-012-0469-7

View Publication

Locations

Monatshefte für Mathematik - View

Similar Works

Action	Title	Year	Authors
+	On the Erdős-Falconer distance problem for two sets of different size in vector spaces over finite fields	2011	Rainer Dietmann
+	A matrix variant of the Erdős-Falconer distance problems over finite field	2024	Hieu T. Ngo
+	On the Erd\H{o}s-Falconer distance problem for two sets of different size in vector spaces over finite fields	2011	Rainer Dietmann
+	On the Erdós distance problem	2020	Theophilus Agama
+	Erdos distance problem in vector spaces over finite fields	2005	Alex Iosevich Misha Rudnev
+	On the two-parameter Erdős-Falconer distance problem over finite fields	2021	François Clément Hossein Nassajian Mojarrad Duc Hiep Pham Chun‐Yen Shen
+	A two-parameter finite field Erdős-Falconer distance problem	2017	Philipp Birklbauer Alex Iosevich
+	The Erdos distance problem	2011
+	Erdös distance problem in vector spaces over finite fields	2007	Alex Iosevich M. Rudnev
+	A two-parameter finite field Erdős-Falconer distance problem	2017	Philipp Birklbauer Alex Iosevich
+	Erdös--Falconer Distance Problem under Hamming Metric in Vector Spaces over Finite Fields	2020	Zixiang Xu Gennian Ge
+	Erdos Distinct Distances Problem and Extensions over Finite Spaces	2017	Van Thang Pham
+	ON THE TWO-PARAMETER ERDŐS–FALCONER DISTANCE PROBLEM IN FINITE FIELDS	2022	François Clément Hossein Nassajian Mojarrad Duc Hiep Pham Chun‐Yen Shen
+	On the Erdős–Szekeres problem in combinatorial geometry	2007	V. A. Koshelev
+	The Erdös-Falconer distance problem on the unit sphere in vector spaces over finite fields	2008	Lê Anh Vinh
+	On an Erdös’ Open Problems	2016	Florentín Smarandache
+	On the Erdös-Szekeres problem	2007	V. A. Koshelev
+	On a problem of Erdős and Rado	1997	Jean A. Larson William J. Mitchell
+	On Erdős-Szekeres-type problems	2009	V. A. Koshelev
+ PDF Chat	On some generalisations of the Erdős distance problem over finite fields	2006	Igor E. Shparlinski

Works That Cite This (5)

Action	Title	Year	Authors
+	A point-conic incidence bound and applications over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>	2022	Ali Mohammadi Thang Pham Audie Warren
+	On the additive energy of the distance set in finite fields	2016	Igor E. Shparlinski
+	A matrix variant of the Erdős-Falconer distance problems over finite field	2024	Hieu T. Ngo
+ PDF Chat	On the Sums of Any $k$ Points in Finite Fields	2016	David Covert Doowon Koh Youngjin Pi
+	A Point-Conic Incidence Bound and Applications over $\mathbb F_p$	2021	Ali Mohammadi Thang Pham Audie Warren

Works Cited by This (10)

Action	Title	Year	Authors
+	ADDITIVE ENERGY AND THE FALCONER DISTANCE PROBLEM IN FINITE FIELDS	2014	Doowon Koh Chun‐Yen Shen
+	Sharp extension theorems and Falconer distance problems for algebraic curves in two dimensional vector spaces over finite fields	2012	Doowon Koh Chun‐Yen Shen
+ PDF Chat	On the set of distances between two sets over finite fields	2006	Igor E. Shparlinski
+ PDF Chat	Pinned distance sets, k-simplices, Wolff’s exponent in finite fields and sum-product estimates	2011	Jeremy Chapman M. Burak Erdoğan Derrick Hart Alex Iosevich Doowon Koh
+ PDF Chat	On the Hausdorff dimensions of distance sets	1985	K. J. Falconer
+	Erdös distance problem in vector spaces over finite fields	2007	Alex Iosevich M. Rudnev
+	On Sets of Distances of <i>n</i> Points	1970	P. Erdős
+ PDF Chat	Extension theorems for spheres in the finite field setting	2010	Alex Iosevich Doowon Koh
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski