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Distribution of quadratic non-residues which are not primitive roots

S. Gun, B. Ramakrishnan, Binod Kumar Sahoo, Ravindranathan Thangadurai (2005)

Mathematica Bohemica

In this article we study, using elementary and combinatorial methods, the distribution of quadratic non-residues which are not primitive roots modulo p h or 2 p h for an odd prime p and h 1 an integer.

Isomorphic digraphs from powers modulo p

Guixin Deng, Pingzhi Yuan (2011)

Czechoslovak Mathematical Journal

Let p be a prime. We assign to each positive number k a digraph G p k whose set of vertices is { 1 , 2 , ... , p - 1 } and there exists a directed edge from a vertex a to a vertex b if a k b ( mod p ) . In this paper we obtain a necessary and sufficient condition for G p k 1 G p k 2 .

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