Number theory and its applications

Includes bibliographical references

Number Theory and Its Applications provides up-to-date surveys on modular forms and Hecke operators, exponential sums, and sieve methods with applications to additive and multiplicative number theory, for example, the ideas behind the recent surprising proof that there are infinitely many primes of the form a[superscript 2] + b[superscript 4] are laid out ... contains numerous results on character sums and finite fields with applications to coding theory ... covers classical and new material on algebraic numbers, transcendence theory, and diophantine approximation, including the recent proof of algebraic independence of the numbers [pi], e[superscript x], [Gamma](1/4) ...