Elements of Number Theory: Including an Introduction to Equations Over Finite Fields |
Contents
chapter oneUNIQUE FACTORIZATION | 2 |
chapter twoAPPLICATIONS OF UNIQUE FACTORIZATION | 20 |
chapter threeCONGRUENCE | 29 |
Copyright | |
11 other sections not shown
Other editions - View all
Common terms and phrases
a₁ algebraic integer algebraic number b₁ C₁ C₂ Chapter character of order characters of F coefficients complex numbers congruence conjecture consider Corollary cubic reciprocity curve cyclic definition divides equation Exercise field containing F field F field with q finite field Gauss sums greatest common divisor Hasse-Davenport relation hypersurface implies irreducible polynomials Jacobi sums law of cubic Legendre symbol Lemma modulo monic irreducible polynomials monic polynomial N(x² N(x³ N₁ nontrivial nonzero number of points number of solutions odd prime P₁ points at infinity positive integer primary primes primitive root PROOF Proposition 8.5.1 prove q elements quadratic reciprocity quadratic residue quadratic residue mod rational prime Riemann hypothesis ring Section Suppose Theorem x₁ Z/pZ zero zeta function Νπ