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* Polynomials over Finite Fields
• Primes, Arithmetic Functions, and the Zeta Function
• The Reciprocity Law
• Dirichlet L-series and Primes in an Arithmetic Progression
• Algebraic Function Fields and Global Function Fields
• Weil Differentials and the Canonical Class
• Extensions of Function Fields, Riemann-Hurwitz, and the ABC Theorem
• Constant Field Extensions
• Galois Extensions - Artin and Hecke L-functions
• Artin's Primitive Root Conjecture
• The Behavior of the Class Group in Constant Field Extensions
• Cyclotomic Function Fields
• Drinfeld Modules, An Introduction
• S-Units, S-Class Group, and the Corresponding L-functions
• The Brumer-Stark Conjecture
• Class Number Formulas in Quadratic and Cyclotomic Function Fields
• Average Value Theorems in Function Fields
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Add Number Theory in Function Fields, Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of variou, Number Theory in Function Fields to the inventory that you are selling on WonderClubX
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Add Number Theory in Function Fields, Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of variou, Number Theory in Function Fields to your collection on WonderClub |