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  1. p-adic numbers : an introduction

    Gouvêa, Fernando Q. (Fernando Quadros)
    2nd ed. - Berlin ; New York : Springer, c1997.

    There are numbers of all kinds: rational, real, complex, p-adic...The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This book is an elementary introduction to p-adic numbers.Most other books on the subject are written for more advanced students. This book can almost be viewed as an introduction to be read in preparation for reading these more advanced texts. Readers who want to have an idea and appreciation of the subject but do not need to become specialists will probably find what they need in this book, while other texts may be too technical.

  2. Arithmetic of diagonal hypersurfaces over finite fields

    Gouvêa, Fernando Q. (Fernando Quadros)
    Cambridge ; New York : Cambridge University Press, 1995.

    There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help non-specialists gain access to the results.

    Online Cambridge Core

  3. Arithmetic of diagonal hypersurfaces over finite fields

    Gouvêa, Fernando Q. (Fernando Quadros)
    Cambridge ; New York : Cambridge University Press, 1995.

    There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help non-specialists gain access to the results.

    Online EBSCO Academic Comprehensive Collection

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