On periodicity of continued fractions in hyperelliptic function fields

1990 ◽  
Vol 55 (3) ◽  
pp. 259-266 ◽  
Author(s):  
T. G. Berry
Keyword(s):  
Continued Fractions ◽  
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 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 A family of hyperelliptic function fields with Hasse-Witt-invariant zero

1990 ◽  
Vol 36 (2) ◽  
pp. 187-200 ◽  
Author(s):  
Tetsuo Kodama ◽  
Tadashi Washio
Keyword(s):  
Function Fields ◽  
Invariant Zero ◽  
Hyperelliptic Function

scholarly journals Class numbers of quadratic function fields and continued fractions

1992 ◽  
Vol 40 (1) ◽  
pp. 38-59 ◽  
Author(s):  
Cristian D. González
Keyword(s):  
Continued Fractions ◽  
Function Fields ◽  
Quadratic Function ◽  
Class Numbers ◽  
Quadratic Function Fields

scholarly journals Real and imaginary quadratic representations of hyperelliptic function fields

1999 ◽  
Vol 68 (227) ◽  
pp. 1233-1242 ◽  
Author(s):  
Sachar Paulus ◽  
Hans-Georg Rück
Keyword(s):  
Function Fields ◽  
Hyperelliptic Function

scholarly journals Hyperelliptic function fields and codes

1991 ◽  
Vol 74 (1) ◽  
pp. 109-118 ◽  
Author(s):  
Chao-ping Xing
Keyword(s):  
Function Fields ◽  
Hyperelliptic Function

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
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