Distribution of Residues Modulo p Using the Dirichlet’s Class Number Formula

Jaitra Chattopadhyay (), Bidisha Roy (), Subha Sarkar () and R. Thangadurai ()
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Jaitra Chattopadhyay: Harish-Chandra Research Institute, HBNI
Bidisha Roy: Harish-Chandra Research Institute, HBNI
Subha Sarkar: Harish-Chandra Research Institute, HBNI
R. Thangadurai: Harish-Chandra Research Institute, HBNI

A chapter in Class Groups of Number Fields and Related Topics, 2020, pp 97-107 from Springer

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

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-15-1514-9_9

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DOI: 10.1007/978-981-15-1514-9_9

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