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

Jaitra Chattopadhyay; Bidisha Roy; Subha Sarkar; R. Thangadurai

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

Number Theory 2019-01-30 v2

Authors: Jaitra Chattopadhyay , Bidisha Roy , Subha Sarkar , R. Thangadurai

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 $\mathbb{Q}(\sqrt{-p})$ .

Keywords

class number of quadratic fields prime number theory

Cite

@article{arxiv.1810.00227,
  title  = {Distribution of residues modulo $p$ using the Dirichlet's class number formula},
  author = {Jaitra Chattopadhyay and Bidisha Roy and Subha Sarkar and R. Thangadurai},
  journal= {arXiv preprint arXiv:1810.00227},
  year   = {2019}
}

Comments

To appear in the conference proceedings of ICCGNFRT-2017

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

Abstract

Keywords

Cite

Comments

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