TY  - BOOK
AU  - Ireland,Kenneth F
AU  - Rosen,Michael I.
TI  - A classical introduction to modern number theory
T2  - Graduate texts in mathematics
SN  - 038797329X
AV  - QA241 .I667 1990
PY  - 1990///]
CY  - New York
PB  - Springer-Verlag
KW  - Number theory
N1  - Includes bibliographical references (pages 375-384) and index; Preface to the second edition; -- Preface; -- Unique fractorization; -- Applications of unique fractorization; -- Congruence; -- Structure uf U (Z/nZ); -- Quadratic reciprocity; -- Quadratic Gauss sums; -- Finite fields; -- Gauss and Jacobi sums; -- Cubic and biquadratic reciprocity; -- Equations over finite fields; -- Zeta function; -- Algebraic number theory; -- Quadratic and cyclotomic fields; -- Stickelberger relation and the Eisenstein reciprocity law; -- Bernoulli numbers; -- Dirichlet L-functions; -- Diophantine equations; -- Eliptic curves; -- Mordell-Weil theorem; -- New progress in arithmetic geometry; -- Selected hints for the exercises; -- Bibliography; -- Index
ER  -