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Simple Classroom Tests on Residues

Book ID
114615012
Publisher
IEEE
Year
1968
Tongue
English
Weight
538 KB
Volume
11
Category
Article
ISSN
0018-9359

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Simple arguments on consecutive power re
Simple arguments on consecutive power residues
✍ Zhi-Wei Sun πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 101 KB

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