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Number Theory in Function Fields (Paperback, Softcover reprint of hardcover 1st ed. 2002)
Loot Price: R2,002
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Number Theory in Function Fields (Paperback, Softcover reprint of hardcover 1st ed. 2002)
Series: Graduate Texts in Mathematics, 210
Expected to ship within 10 - 15 working days
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Elementary number theory is concerned with arithmetic properties of
the ring of integers. 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, for example,
analogues of the theorems of Fermat and Euler, Wilson?'s theorem,
quadratic (and higher) reciprocity, the prime number theorem, and
Dirichlet?'s theorem on primes in an arithmetic progression. After
presenting the required foundational material on function fields,
the later chapters explore the analogy between global function
fields and algebraic number fields. A variety of topics are
presented, including: the ABC-conjecture, Artin?'s conjecture on
primitive roots, the Brumer-Stark conjecture, Drinfeld modules,
class number formulae, and average value theorems.
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