Class Number Formulas Over Global Function Fields
نویسندگان
چکیده
منابع مشابه
Class Number Growth of a Family of Z -Extensions p over Global Function Fields
Let F be a finite field with q elements and of characteristic p. In this q paper, we construct a family of geometric Z -extensions over global p function field k of transcendence degree one over F and study the q asymptotic behavior of class numbers in such Z -extensions. By the analog p of the Brauer]Siegel theorem in function fields, it suffices to investigate w x the genus of each layer of s...
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Abstract. Let K be a global function field with finite constant field Fq of order q. In this paper we develop the analytic theory of a multiple zeta function Zd(K; s1, . . . , sd) in d independent complex variables defined over K. This is the function field analog of the Euler-Zagier multiple zeta function ζd(s1, . . . , sd) of depth d ([Z1]). Our main result is that Zd(K; s1, . . . , sd) has a...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1994
ISSN: 0022-314X
DOI: 10.1006/jnth.1994.1059