Distribution of residues modulo p using the Dirichlet's class number formula

2018/09/29 by Chattopadhyay, Jaitra, Roy, Bidisha, Sarkar, Subha +1 · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1810.00227

Abstract

Let p be an odd prime number. In this article, we study the number of quadratic residues and non-residues modulo p which are multiples of 2 or 3 or 4 and lying in the interval [1, p-1], by applying the Dirichlet's class number formula for the imaginary quadratic field ℚ(√(-p)).

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