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On consecutivek'th power residues

โœ Scribed by Adolf Hildebrand

Book ID
105213546
Publisher
Springer Vienna
Year
1986
Tongue
English
Weight
441 KB
Volume
102
Category
Article
ISSN
0026-9255

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By some extremely simple arguments, we point out the following: (i) If n is the least positive kth power non-residue modulo a positive integer m, then the greatest number of consecutive kth power residues mod m is smaller than m/n. (ii) Let O K be the ring of algebraic integers in a quadratic field