On the minimum norm of representatives of residue classes in number fields

Jean Bourgain, Mei-Chu Chang

Type: Article

Publication Date: 2007-06-01

Citations: 3

DOI: https://doi.org/10.1215/s0012-7094-07-13824-9

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Locations

Duke Mathematical Journal - View

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Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Elementary and Analytic Theory of Algebraic Numbers	1991	Peter Shiu Władysław Narkiewicz
+	Character Sums with Exponential Functions and their Applications	1999	Sergeĭ Konyagin Igor E. Shparlinski
+	Mordell’s exponential sum estimate revisited	2005	Jean Bourgain
+ PDF Chat	The distribution of residue classes modulo $\mathfrak{a}$ in an algebraic field	1980	Shigeki Egami
+	ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER	2006	Jean Bourgain A. A. Glibichuk Sergeĭ Konyagin
+ PDF Chat	A Gauss sum estimate in arbitrary finite fields	2006	Jean Bourgain Mei-Chu Chang
+	Exponential sum estimates over subgroups and almost subgroups of $$ \mathbb{Z}_{Q}^{*} $$ , where Q is composite with few prime factors	2006	Jean Bourgain Mei-Chu Chang
+	Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation	1967	Harry Furstenberg
+ PDF Chat	Multi-invariant sets on tori	1983	Daniel Berend
+ PDF Chat	On Quantum Ergodicity for Linear Maps of the Torus	2001	P. Kurlberg Ze x E v Rudnick