scholarly journals On the genera of subfields of the Hermitian function field

2004 ◽  
Vol 10 (3) ◽  
pp. 271-284 ◽  
Author(s):  
Miriam Abdón ◽  
Luciane Quoos
Keyword(s):  
Function Field ◽  
Hermitian Function

scholarly journals Steane-enlargement of quantum codes from the Hermitian function field

2020 ◽  
Vol 88 (8) ◽  
pp. 1639-1652 ◽  
Author(s):  
René Bødker Christensen ◽  
Olav Geil
Keyword(s):  
Function Field ◽  
Quantum Codes ◽  
Hermitian Function

A family of kummer extensions of the hermitian function field

1995 ◽  
Vol 23 (4) ◽  
pp. 1551-1566 ◽  
Author(s):  
Conny Voß ◽  
Tom Høholdt
Keyword(s):  
Function Field ◽  
Hermitian Function

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.

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