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	The Gross conjecture over rational function fields
	Ouyang, Y
	2010-05-06 ; 2010-05-06
关键词	gross conjecture L-function theta-function Weil reciprocity Mathematics, Applied Mathematics
中文摘要	We study the Gross conjecture for the cyclotomic function field extension k(Lambda(f))/k where k = F-q(t) is the rational function field and f is a monic polynomial in F-q[t]. We prove the conjecture in the Fermat curve case(i.e., when f = t(t - 1)) by a direct calculation. We also prove the case when f is irreducible, which is analogous to the Weil reciprocity law. In the general case, we manage to show the weak version of the Gross conjecture here.
语种	英语 ; 英语
出版者	SCIENCE PRESS ; BEIJING ; 16 DONGHUANGCHENGGEN NORTH ST, BEIJING 100717, PEOPLES R CHINA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13785]
专题	清华大学
推荐引用方式 GB/T 7714	Ouyang, Y. The Gross conjecture over rational function fields[J],2010, 2010.
APA	Ouyang, Y.(2010).The Gross conjecture over rational function fields..
MLA	Ouyang, Y."The Gross conjecture over rational function fields".(2010).

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