- 1)/2 many integers: n, 2n, P=¹n. ∙n. 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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Gauss: Let n #0 (mod p). Consider the remainders mod p of the following
(p-1)/2 many integers:
p-1
n, 2n,
2
Let m be the number of these remainders which exceed p/2. Then (=) = (−1)m.
n.
Transcribed Image Text:Gauss: Let n #0 (mod p). Consider the remainders mod p of the following (p-1)/2 many integers: p-1 n, 2n, 2 Let m be the number of these remainders which exceed p/2. Then (=) = (−1)m. n.
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