Quadratic Residues Full Chapter | MSc Advanced Number Theory | Euler Criterion
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Quadratic Residues Full Chapter | MSc Advanced Number Theory | Euler Criterion
17 просмотров · 9 дн. назад
Math R Solution
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17 просмотров · 9 дн. назад
🎯 MSc Advanced Number Theory Chapter 1 Full Lecture | Quadratic Residues Explained
In this video, we cover Chapter 1: Quadratic Residues from MSc Advanced Number Theory. This lecture is for MSc Mathematics students of National University (Paper 313701) and all other universities (DU, RU, CU, JU).
📚 What you will learn in this video:
✅ What is Quadratic Residue & QNR?
✅ Euler's Criterion (Most Important Theorem)
✅ Least Residue & Absolute Least Residue
✅ Number of QR is (p-1)/2
✅ Product Rules of QR
✅ Example Tables for mod 7, 11, 13
✅ Important Formulas (Legendre Symbol, Gauss Lemma, Reciprocity Law)
✅ 6 Important Problems for Exam
📌 Timestamps:
0:00 Intro
0:45 Point 1 - What is Quadratic Residue?
2:30 Point 2 - Euler's Criterion (Important)
4:30 Point 3 - Least Residue & Absolute Least Residue
5:45 Point 4 - Number of QR Theorem
6:45 Point 5 - Product Rules
7:45 Point 6 - QR Table mod 7 & mod 11
8:45 Important Formulas - Screenshot This!
10:00 Important Problems - Practice These
11:00 Outro & Next Video
📄 Download PDF Notes & Posters:
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🔗 Next Video: Chapter 2 Legendre Symbol & Gauss Lemma (Coming Soon)
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