The least prime quadratic nonresidue in a prescribed residue class mod 4

DOI10.1016/j.jnt.2017.11.007zbMath1430.11006OpenAlexW2772124206MaRDI QIDQ1747238

Paul Pollack

Publication date: 4 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.11.007

zbMATH Keywords

binary quadratic formsgenus theoryPólya-Vinogradov inequalityquadratic nonresidue

Mathematics Subject Classification ID

Estimates on character sums (11L40) Power residues, reciprocity (11A15) General binary quadratic forms (11E16)

Related Items (3)

Non-principal Euclidean ideal class in a family of biquadratic fields with the class number two ⋮ Distribution of Residues Modulo p Using the Dirichlet’s Class Number Formula ⋮ Biquadratic fields having a non-principal Euclidean ideal class

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalization of the Pólya-Vinogradov inequality
• Quadratic residues of certain types
• Sur les restes et les non-restes quadratiques suivant un module premier
• The Burgess inequality and the least kth power non-residue
• Primes in arithmetic progressions
• Prime splitting in abelian number fields and linear combinations of Dirichlet characters
• On characters and polynomials

This page was built for publication: The least prime quadratic nonresidue in a prescribed residue class mod 4