Results 241 to 250 of about 257,472 (285)

On Rationality of Algebraic Function Fields

Canadian Mathematical Bulletin, 1969
Let A be an algebraic function field with a constant field k which is an algebraic number field. For each prime p of k, we consider a local completion kp and set Ap = Ak ꕕ kp. Then we have the question:Is it true that A/k is a rational function field (i.e., A is a purely transcendental extension of k) if Ap/kp is so for every p ?
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Algebraic Function Fields and Global Function Fields

2002
So far we have been working with the polynomial ring A inside the rational function field k = F(T). In this section we extend our considerations to more general function fields of transcendence degree one over a general constant field. This process is somewhat like passing from elementary number theory to algebraic number theory.
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Algebraic function fields, algebraic curves and Goppa codes

2017
This thesis gives an introduction into the theory of algebraic function fields and algebraic curves with an application to Goppa codes. The first two chapters focus on function fields in a purely algebraic setting and have the Riemann-Roch Theorem as their main result. Algebraic curves are approached from the perspective of function fields.
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-Adic Dirichlet characters of algebraic function fields

Journal of Soviet Mathematics, 1979
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
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Algebraic Function Fields of One Variable

1986
Like Chapter 1 this chapter is primarily a survey. We give more than references for only occasional less well known results.
Michael D. Fried, Moshe Jarden
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On zeta-functions of algebraic number fields

1968
Let \(\lambda_1, \lambda_2\) be unramified Hecke characters of fields \(k_1,k_2\) respectively. Suppose that \((k_1k_2:Q) = (k_1:Q)(k_2:Q)\). Denote by \(\zeta_{k_1k_2}(s;\lambda_1, \lambda_2)\) the scalar product of Hecke \(\zeta\)-functions \(\zeta_{k_1}(s;\lambda_1)\) and \(\zeta_{k_2}(s; \lambda_2)\) [cf. \textit{A. I. Vinogradov}, Izv. Akad.
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Magnetic fields of 30 to 100 kG in the cores of red giant stars

Nature, 2022
Gang Li, Sebastien Deheuvels, Jérôme Ballot   +2 more
exaly  

Management of glioblastoma: State of the art and future directions

Ca-A Cancer Journal for Clinicians, 2020
Aaron Tan, David M Ashley, Giselle Lopez
exaly  

Algebraic Function Fields

2020
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Real-algebraic function fields

1971
Norman L. Alling, Newcomb Greenleaf
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