Distribution of consecutive modular roots of an integer

Jean Bourgain, Igor E. Shparlinski

Type: Article

Publication Date: 2008-01-01

Citations: 10

DOI: https://doi.org/10.4064/aa134-1-6

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Acta Arithmetica - View - PDF

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Works That Cite This (7)

Action	Title	Year	Authors
+	OPEN PROBLEMS ON EXPONENTIAL AND CHARACTER SUMS	2009	Igor E. Shparlinski
+ PDF Chat	Twisted exponential sums over points of elliptic curves	2011	Alina Ostafe Igor E. Shparlinski
+	On the Number of Solutions of Exponential Congruences	2010	Antal Balog Kevin Broughan Igor E. Shparlinski
+ PDF Chat	On the number of solutions of exponential congruences	2011	Antal Balog Kevin Broughan Igor E. Shparlinski
+ PDF Chat	EXPONENTIAL SUMS OVER POINTS OF ELLIPTIC CURVES WITH RECIPROCALS OF PRIMES	2011	Alina Ostafe Igor E. Shparlinski
+	The self-power map and its image modulo a prime	2013	Catalina Anghel
+	On some exponential sums with exponential and rational functions	2013	Igor E. Shparlinski

Works Cited by This (19)

Action	Title	Year	Authors
+	Multiplicative Number Theory	1980	H. Davenport
+	Character Sums with Exponential Functions and their Applications	1999	Sergeĭ Konyagin Igor E. Shparlinski
+ PDF Chat	An elementary method in prime number theory	1980	R. C. Vaughan
+	Mordell’s exponential sum estimate revisited	2005	Jean Bourgain
+ PDF Chat	Double exponential sums over thin sets	2000	John Friedlander Igor E. Shparlinski
+	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
+	Estimates on exponential sums related to the Diffie–Hellman Distributions	2005	Jean Bourgain
+ PDF Chat	New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum	2000	D. R. Heath‐Brown
+ PDF Chat	Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order	2003	Jean Bourgain Sergeĭ Konyagin
+	Exponential Sums and their Applications	1992	N. M. Korobov