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arXiv · 1810.00227

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

Jaitra Chattopadhyay·Bidisha Roy·Subha Sarkar·R. Thangadurai
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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 $\mathbb{Q}(\sqrt{-p})$.

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Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar, R. Thangadurai. 2018-09-29. Distribution of residues modulo $p$ using the Dirichlet's class number formula. https://arxiv.org/abs/1810.00227

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