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On the Distribution of l-th Power Residues (mod p)

✍ Scribed by Davenport, H.

Book ID
120100788
Publisher
Oxford University Press
Year
1932
Tongue
English
Weight
119 KB
Volume
s1-7
Category
Article
ISSN
0024-6107

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Let a be a positive integer with aa1 and Q a Γ°x; k; lÞ be the set of primes ppx such that the residual order of a in Z=pZ Γ‚ is congruent to l mod k: It seems that no one has ever considered the density of Q a Γ°x; k; lÞ for la0 when kX3: In this paper, the natural densities of Q a Γ°x; 4; lÞ Γ°l ΒΌ 0; 1