Elliptic Units in Function Fields

1982 ◽  
pp. 321-340 ◽  
Author(s):  
David R. Hayes
Keyword(s):  
Function Fields ◽  
Elliptic Units

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.

Construction of elliptic units in function fields

Number Theory ◽  
1995 ◽  
pp. 187-208
Author(s):  
Hassan Oukhaba
Keyword(s):  
Function Fields ◽  
Elliptic Units

scholarly journals ON THE GROWTH OF LINEAR RECURRENCES IN FUNCTION FIELDS

2020 ◽  
pp. 1-10
Author(s):  
CLEMENS FUCHS ◽  
SEBASTIAN HEINTZE
Keyword(s):  
Number Field ◽  
Function Field ◽  
Function Fields ◽  
Linear Recurrence ◽  
Recurrence Sequence ◽  
Linear Recurrences ◽  
Field Case ◽  
Power Sum ◽  
Linear Recurrence Sequence

Abstract Let $ (G_n)_{n=0}^{\infty } $ be a nondegenerate linear recurrence sequence whose power sum representation is given by $ G_n = a_1(n) \alpha _1^n + \cdots + a_t(n) \alpha _t^n $ . We prove a function field analogue of the well-known result in the number field case that, under some nonrestrictive conditions, $ |{G_n}| \geq ( \max _{j=1,\ldots ,t} |{\alpha _j}| )^{n(1-\varepsilon )} $ for $ n $ large enough.

On geometric Z p -extensions of function fields

1988 ◽  
Vol 62 (2) ◽  
pp. 145-161 ◽  
Author(s):  
R. Gold ◽  
H. Kisilevsky
Keyword(s):  
Function Fields
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