11. How Many Solutions Does 𝑥^𝑑≡1(mod𝑝) Have? |Number Theory by Burton| Primitive Roots for primes скачать в хорошем качестве

11. How Many Solutions Does 𝑥^𝑑≡1(mod𝑝) Have? |Number Theory by Burton| Primitive Roots for primes

Chapter: 8 Primitive Roots and Indices | Elementary Number Theory by David M. Burton | CSIR NET GATE JAM | B.SC Mathematics | M.SC Mathematics ---------------------------------------------------------------------------------------------------------------------------------------------------------- In this lecture we will discuss the statement and proof of a corollary related to Lagrange’s theorem that can be stated as If p is a prime and d|p-1, then the congruence x^d-1≡0(modp) has exactly d solutions. The result is important for B.Sc and M.Sc Mathematics students and is frequently used in CSIR-NET, GATE, and JAM Mathematics examinations. 📘 Reference Book: David M. Burton – Elementary Number Theory 📌 Recommended for: B.Sc / M.Sc Mathematics | CSIR-NET | GATE | JAM | University Exams ---------------------------------------------------------------------------------------------------------------------------------------------------------- 📚 Important Course Playlists ▶️To Watch complete Play list of Number Theory in Urdu language click the link below    • NUMBER THEORY by Professor Azmat Ali || BS...   ▶️To Watch complete Play list of Elementary Number Theory by David M Burton in English language click the link below    • Comprehensive Number Theory Course: 13 Cor...   ---------------------------------------------------------------------------------------------------------------------------------------------------------- #NumberTheory #PrimitiveRoots #PrimitiveRootsForPrimes #EulerTotientFunction #ModularArithmetic #LagrangeTheorem #PolynomialCongruences #ElementaryNumberTheory #DavidBurton #PureMathematics #UniversityMathematics #UrduMathematics #MathsInUrdu #Pakistan #india #CSIRNETMathematics #GATEMathematics #JAMMathematics #BScMathematics #MScMathematics #Maths4U #professorazmatali