Integral bases for p-recursive sequences

Author(s):  
Shaoshi Chen ◽  
Lixin Du ◽  
Manuel Kauers ◽  
Thibaut Verron
2021 ◽  
Vol 107 ◽  
pp. 251-268
Author(s):  
Qing-hu Hou ◽  
Guojie Li
Keyword(s):  

1958 ◽  
Vol 9 (1) ◽  
pp. 173
Author(s):  
Virginia Hanly ◽  
H. B. Mann
Keyword(s):  

1998 ◽  
Vol 41 (2) ◽  
pp. 158-165 ◽  
Author(s):  
István Gaál

AbstractIn the present paper we consider the problem of finding power integral bases in number fields which are composits of two subfields with coprime discriminants. Especially, we consider imaginary quadratic extensions of totally real cyclic number fields of prime degree. As an example we solve the index form equation completely in a two parametric family of fields of degree 10 of this type.


2002 ◽  
Vol 11 (1) ◽  
pp. 87-90 ◽  
Author(s):  
István Gaál ◽  
Páter Olajos ◽  
Michael Pohst
Keyword(s):  

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Chengmei Fan ◽  
M. Mobeen Munir ◽  
Zafar Hussain ◽  
Muhammad Athar ◽  
Jia-Bao Liu

Sierpinski networks are networks of fractal nature having several applications in computer science, music, chemistry, and mathematics. These networks are commonly used in chaos, fractals, recursive sequences, and complex systems. In this article, we compute various connectivity polynomials such as M -polynomial, Zagreb polynomials, and forgotten polynomial of generalized Sierpinski networks S k n and recover some well-known degree-based topological indices from these. We also compute the most general Zagreb index known as α , β -Zagreb index and several other general indices of similar nature for this network. Our results are the natural generalizations of already available results for particular classes of such type of networks.


2017 ◽  
Vol 25 (2) ◽  
pp. 137-148
Author(s):  
Tamás Szakács

Abstract We continue the investigation of convolutions of second order linear recursive sequences (see the first part in [1]). In this paper, we focus on the case when the characteristic polynomials of the sequences have common root.


Sign in / Sign up

Export Citation Format

Share Document