Analysis of Quadratic residue and Cubic residues over ring Zpm
Below Tables are the analysis of Cubic residue, Quadratic residues over ring Zpm where p is prime and m is natural number.
(Click on particular ring Zpm to access it)
Results can be used to find,
- 1. Total number of Quadratic residues over ring zpm.
- 2. How many Quadratic residues with same occurrence?
- 3. Total number of Cubic residues over ring zpm.
- 4. How many Cubic residues with same occurrence?
- 5. How many Cubic residues are also Quadratic residues over ring zpm?
Reference:
A046530: Number of distinct cubic residues mod n.
A000224: Number of squares mod n.
Created By: Param Parekh, Paavan Parekh
Mentored By: Manish K. Gupta, Sourav Deb
Email: ecc [at] guptalab.org