Squares and Cubes Modulo n

Abstract

We study the asymptotics of the average number of squares (or quadratic residues) in Z_n and Z_n^*. Similar analyses are performed for cubes, square roots of 0 and 1, and cube roots of 0 and 1.

20 pages

Cited by in corpus (5)

• Series of Reciprocal Powers of k-almost Primes
• Idempotents and Nilpotents Modulo n
• Powers of Euler's q-Series
• Residue of a Mod 5 Euler Product
• On structures induced by the power sequences of $($\mathbb{Z}/ m\mathbb{Z}$,\cdot )$