ON CONSECUTIVE RESIDUES AND NONRESIDUES UNDER A LINEAR MAP IN A FINITE FIELD
Abstract For fixed m and a , we give an explicit description of those subsets of ${\mathbb F}_{q}$ , q odd, for which both x and $mx+a$ are quadratic residues (and other combinations). These results extend and refine results that date back to Gauss.
Authors
- Emily Bergman (ORCID: https://orcid.org/0000-0003-2901-840X)
- Robert S. Coulter (ORCID: https://orcid.org/0000-0002-1546-8779)
- Bradley Fain (ORCID: https://orcid.org/0000-0002-2285-7668)
Institutions
- APT Therapeutics (United States) (US)
- University of Delaware (US)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2024-10-11
- DOI
- https://doi.org/10.1017/s0004972724000698
- Primary Topic
- Polynomial and algebraic computation
- Type
- article
- Field-Weighted Citation Impact
- 0.00