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Lectures on finite fields

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Based on author's lecture notes, at University of South Florida.

Abstract:
The theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science. This book covers basic  Read more...

Author(s): Hou, Xiang-dong
Series: AMS Graduate studies in mathematics 190
Publisher: American Mathematical Society
Year: 2018

Language: English
Pages: 229
Tags: Finite fields (Algebra);Number theory -- Instructional exposition (textbooks, tutorial papers, etc.).;Number theory -- Forms and linear algebraic groups -- Forms and linear algebraic groups.;Number theory -- Algebraic number theory: global fields -- Algebraic number theory: global fields.;Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Finite fields and commutative rings (number-theoretic aspects).

Content: Ch. 1. Preliminaries --
Ch. 2. Polynomials over finite fields --
Ch. 3. Gauss sums --
Ch. 4. Algebraic number theory --
Ch. 5. Zeros of polynomials over finite fields --
Ch. 6. Classical groups.