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

DOI10.1007/978-981-15-1514-9_9zbMath1444.11008arXiv1810.00227OpenAlexW2892585073MaRDI QIDQ3298288

Subha Sarkar, Bidisha Roy, Jaitra Chattopadhyay, Ravindrananathan Thangadurai

Publication date: 14 July 2020

Published in: Class Groups of Number Fields and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00227

zbMATH Keywords

class numberquadratic residues

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Distribution of integers in special residue classes (11N69) Class numbers, class groups, discriminants (11R29) Power residues, reciprocity (11A15)

Cites Work

• Quadratic residues and non-residues. Selected topics
• Elementary trigonometric sums related to quadratic residues
• On the distribution of the primitive roots of a prime
• Symmetries for sums of the Legendre symbol
• The least prime quadratic nonresidue in a prescribed residue class mod 4
• Distribution of residues and primitive roots
• Quadratic residues of certain types
• A note on the distribution of the primitive roots of a prime
• Distribution of quadratic non-residues which are not primitive roots
• AN ELEMENTARY PROOF IN THE THEORY OF QUADRATIC RESIDUES
• Primitive Roots Satisfying a Coprime Condition
• Distribution of residues modulo p
• Primitive roots modulo a prime as consecutive terms of an arithmetic progression.
• Arithmetic progressions of primitive roots of a prime. II.
• Arithmetic progressions of primitive roots of a prime. III.
• On the Riemann Hypothesis in Function-Fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Distribution of Residues Modulo p Using the Dirichlet’s Class Number Formula