On quadratic reciprocity law
Date of Publication
1994
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis discusses quadratic congruences and Gauss' Quadratic Reciprocity Law. Quadratic congruences of the form ax2 + bx + c = 0(mod p), where p is an odd prime and a = 0 (mod p), may or may not have solutions. If they are solvable, the only way to obtain the roots is to substitute a complete residue system modulo p. For large p, doing this would be tedious and would be disappointing if, after inspecting a complete residue system of p, one finds out that no solution exists. Thus it is important to know the methods of determining the solvability of a given quadratic congruence. Some of such methods, of which the Quadratic Reciprocity Law is the most important, are presented in this paper.
Abstract Format
html
Language
English
Format
Accession Number
TU06656
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
87 leaves
Keywords
Numbers, Theory of; Quadratic; Congruences (Geometry); Reciprocity theorems
Recommended Citation
Salud, C. R., & Sumang, M. P. (1994). On quadratic reciprocity law. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16173
