scholarly journals Construction of hyperelliptic function fields of high three-rank

2008 ◽  
Vol 77 (261) ◽  
pp. 503-530 ◽  
Author(s):  
M. Bauer ◽  
M. J. Jacobson ◽  
Y. Lee ◽  
R. Scheidler
Keyword(s):  
Function Fields ◽  
Hyperelliptic Function

scholarly journals Pencils of Quadratic Forms and Hyperelliptic Function Fields

2000 ◽  
Vol 227 (2) ◽  
pp. 532-548
Author(s):  
David B. Leep ◽  
Laura Mann Schueller
Keyword(s):  
Quadratic Forms ◽  
Function Fields ◽  
Hyperelliptic Function

scholarly journals Non-periodic continued fractions in hyperelliptic function fields

2001 ◽  
Vol 64 (2) ◽  
pp. 331-343 ◽  
Author(s):  
Alfred J. van der Poorten
Keyword(s):  
Exponential Growth ◽  
Continued Fractions ◽  
Continued Fraction ◽  
Function Fields ◽  
Square Root ◽  
90Th Birthday ◽  
Continued Fraction Expansion ◽  
Generic Polynomial ◽  
Partial Quotients ◽  
Hyperelliptic Function

Dedicated to George Szekeres on his 90th birthdayWe discuss the exponential growth in the height of the coefficients of the partial quotients of the continued fraction expansion of the square root of a generic polynomial.

scholarly journals Smooth ideals in hyperelliptic function fields

2001 ◽  
Vol 71 (239) ◽  
pp. 1219-1230 ◽  
Author(s):  
Andreas Enge ◽  
Andreas Stein
Keyword(s):  
Function Fields ◽  
Hyperelliptic Function
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