Value Distribution over a Function Field

1985 ◽  
pp. 275-309
Author(s):  
Wilhelm Stoll
Keyword(s):  
Function Field ◽  
Value Distribution

Value distribution and uniqueness of $q$-shift difference polynomials

2016 ◽  
Vol 46 (2) ◽  
pp. 33-44
Author(s):  
Pulak Sahoo ◽  
Gurudas Biswas
Keyword(s):  
Value Distribution ◽  
Difference Polynomials

scholarly journals The differential Galois group of the rational function field

2021 ◽  
Vol 381 ◽  
pp. 107605
Author(s):  
Annette Bachmayr ◽  
David Harbater ◽  
Julia Hartmann ◽  
Michael Wibmer
Keyword(s):  
Galois Group ◽  
Rational Function ◽  
Function Field ◽  
Differential Galois Group ◽  
Rational Function Field

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.

scholarly journals Every place admits local uniformization in a finite extension of the function field

2009 ◽  
Vol 221 (2) ◽  
pp. 428-453 ◽  
Author(s):  
Hagen Knaf ◽  
Franz-Viktor Kuhlmann
Keyword(s):  
Function Field ◽  
Finite Extension ◽  
Local Uniformization
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