Ramanujan graphs and diagrams function field approach

Author(s):  
Moshe Morgenstern
Author(s):  
S. Andrietti ◽  
M. Bernacki ◽  
N. Bozzolo ◽  
L. Maire ◽  
P. De Micheli ◽  
...  
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2021 ◽  
Vol 381 ◽  
pp. 107605
Author(s):  
Annette Bachmayr ◽  
David Harbater ◽  
Julia Hartmann ◽  
Michael Wibmer

2021 ◽  
pp. 168526
Author(s):  
Martin Puschmann ◽  
João C. Getelina ◽  
José A. Hoyos ◽  
Thomas Vojta

Author(s):  
M. Jeffery ◽  
J. Huang ◽  
S. Fityus ◽  
A. Giacomini ◽  
O. Buzzi

Wear ◽  
2021 ◽  
pp. 203830
Author(s):  
W.S. Labiapari ◽  
R.J. Gonçalves ◽  
C.M. de Alcântara ◽  
V. Pagani ◽  
J.C. Di Cunto ◽  
...  

Author(s):  
CLEMENS FUCHS ◽  
SEBASTIAN HEINTZE

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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