-Adic Dirichlet characters of algebraic function fields
Copyright policy )-Adic Dirichlet characters of algebraic function fields
A theory of precyclic P-extensions is developed which contains the well-known Witt theory. This theory makes it possible to describe so-called P-adic Dirichlet characters of function fields. In particular, for a trigonometric sum of the form where P is a prime number and f is a polynomial, its expression in terms of the zeros of a certain L function of the base field is obtained
- Penn State Wilkes-Barre United States
- Pennsylvania State University United States
Arithmetic theory of algebraic function fields, P-Adic Dirichlet Characters, Zeta functions and \(L\)-functions, L-Function, Exponential sums, Algebraic Function Fields, Trigonometric and exponential sums (general theory)
Arithmetic theory of algebraic function fields, P-Adic Dirichlet Characters, Zeta functions and \(L\)-functions, L-Function, Exponential sums, Algebraic Function Fields, Trigonometric and exponential sums (general theory)
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