Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-423 Number Theory-II
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MATH-423 Number Theory-II
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Quadratic Residues Composite moduli, Legendre symbol Law of quadratic reciprocity The Jacobi symbol Diophantine Equations Equations and Fermat’s conjecture for n = 2, n = 4 Algebraic Number Theory Polynomials over a field Divisibility properties of polynomials Gauss’s lemma The Einstein irreducibility criterion Symmetric polynomials Extensions of a field Algebraic and transcendental numbers Bases and finite extensions, properties of finite extensions Conjugates and discriminants Algebraic integers in a quadratic field, integral bases Units and primes in a quadratic field Ideals, arithmetic of ideals in an algebraic number field The norm of an ideal, prime ideals, units of algebraic number field |
| Credit hours/ Marks:- 3 |
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