On the number of incongruent solutions to a quadratic congruence over algebraic integers

DOI10.1142/S1793042118501762zbMath1464.11040OpenAlexW2883640963MaRDI QIDQ4623466

Ramy Taki ElDin

Publication date: 15 February 2019

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

Full work available at URL: https://doi.org/10.1142/s1793042118501762

zbMATH Keywords

sums of squaresalgebraic number fieldsquadratic congruences

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Quadratic forms over global rings and fields (11E12) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (1)

On the number of unit solutions of cubic congruence modulo \(n\)

Cites Work

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• Sums of generators of ideals in residue class ring
• On the addition of units and nonunits mod \(m\)
• On the addition of squares of units and nonunits modulo \(n\)
• On the sumset of atoms in cyclic groups
• Congruences in Algebraic Number Fields Involving Sums of Similar Powers
• Counting solutions of quadratic congruences in several variables revisited
• Classical theory of algebraic numbers

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