scholarly journals Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places

1997 ◽  
Vol 79 (1) ◽  
pp. 59-76 ◽  
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Rational Places ◽  
Class Fields

Elliptic Units and Class Fields of Global Function Fields

1997 ◽  
Vol 40 (4) ◽  
pp. 385-394
Author(s):  
Sunghan Bae ◽  
Pyung-Lyun Kang
Keyword(s):  
Class Number ◽  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Class Fields ◽  
Elliptic Units

AbstractElliptic units of global function fields were first studied by D. Hayes in the case that deg ∞ is assumed to be 1, and he obtained some class number formulas using elliptic units. We generalize Hayes’ results to the case that deg ∞ is arbitrary.

scholarly journals Global function fields with many rational places over the quinary field. II

1998 ◽  
Vol 86 (3) ◽  
pp. 277-288
Author(s):  
Harald Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Function Fields ◽  
Global Function ◽  
Global Function Fields ◽  
Rational Places
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