Alaca and Williams, both affiliated with the Mathematics Department at Carleton University, Canada, introduce

algebraic number theory in this text suitable for senior undergraduates and beginning graduate students in mathematics.

Algebraic Number Theory and Fermat's Last Theorem, 4th Edition

Three years of university mathematics should be enough to understand most of the book, he says, though he sometimes refers to more advanced concepts and theorems such as

algebraic number theory or the theory of Lie groups and symmetric Riemannian manifolds.

The emphasis is here towards

algebraic number theory rather than the more customary direction towards Galois theory.

Ten talks delivered at the June 2017 conference held in Marseille, France explore

algebraic number theory, Diophantine geometry, curves and abelian varieties over finite fields, and applications in codes and cryptography.

The Institute for Advanced Study said he works"at the intersection of analytic number theory,

algebraic number theory, and representation theory."

Dubickas, On the degree of a linear form in conjugates of an

algebraic number, Illinois J.

Neukirch

Algebraic Number Theory Springer- Verlag Inc.

Akiyama, Cubic Pisot units with finite beta expansions,

Algebraic Number Theory and Diophantine Analysis, (2000), pp.

Eleven contributions are selected from the eight working groups in the areas of elliptic surfaces and the Mahler measure, analytic number theory, number theory in functions fields and algebraic geometry over finite fields, arithmetic algebraic geometry, K-theory and

algebraic number theory, arithmetic geometry, modular forms, and arithmetic intersection theory.

Proved by the work of French mathematician Jean-Pierre Serre (who has made fundamental contributions to algebraic topology, algebraic geometry, and

algebraic number theory) and American mathematician John Torrence Tate, Jr.

In this paper, we use

algebraic number theory and Skolem's p-adic method [4] to solve (1), and the method is relatively simple.