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On Class Numbers of Algebraic Function Fields defined by y2=x2g+1+ax with g=2 and 3


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Title: On Class Numbers of Algebraic Function Fields defined by y2=x2g+1+ax with g=2 and 3
Other Titles: On Class Numbers of Algebraic Function Fields defined by y^2=x^2g+1+ax with g=2 and 3
Authors: Washio, Tadashi
Issue Date: 28-Feb-1982
Publisher: 長崎大学教育学部
Citation: 長崎大学教育学部自然科学研究報告. vol.33, p.19-26; 1982
Abstract: Let F=GF(P) be a finite prime field of characteristic P≠2. Let K=F(x, y) be an algebraic Function field over F defined by an equation y2=x2g+1+ax (a≠0, a∈F), where g means a positive integer. Let h be the class number of K Moreover, let us denots by xd a character of order d of the cyclic group F= F-{0}. Then, it is shown that …
URI: http://hdl.handle.net/10069/32583
ISSN: 0386443X
Type: Departmental Bulletin Paper
Text Version: publisher
Appears in Collections:No. 33

Citable URI : http://hdl.handle.net/10069/32583

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