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Type: Article

The equation x_1x_2=x_3x_4+\lambda in fields of prime order and applications

Abstract:

Let p be a prime number lambda be an integer. We obtain new results related to the congruence x(1)x(2) equivalent to x(3)x(4) + lambda (mod p). (C) 2008 Elsevier Inc. All rights reserved
Keywords: CHARACTER SUMS; MEAN-VALUES; DIOPHANTINE APPROXIMATION; INTEGERS; PRODUCTS; DIVISOR
MSC: 11D79 (11A07 11B50 11L40 11P55)
Journal: Journal of Number Theory
ISSN: 0022-314X
Year: 2008
Volume: 128
Number: 9
Pages: 2520--2537
MR Number: 2444208
Revision: 1
Created Created: 2012-12-10 13:16:28
Modified Modified: 2013-09-03 14:06:46
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