Abstract
Let p be a prime. If an integer g generates a subgroup of index t in (Z/pZ)*, then we say that g is a t-near primitive root modulo p. We point out the easy result that each coprime residue class contains a subset of primes p of positive natural density which do not have g as a t-near primitive root and we prove a more difficult variant.
Original language | English |
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Pages (from-to) | 388-394 |
Number of pages | 7 |
Journal | Bulletin of the Australian Mathematical Society |
Volume | 100 |
Issue number | 3 |
DOIs | |
Publication status | Published - Dec 2019 |
Keywords
- primitive root
- near-primitive root
- Artin's primitive root conjecture
- arithmetic progression
- secondary 11N69
- 2010 Mathematics subject classification
- primary 11N13
- Artin’s primitive root conjecture