Geodesic
A method for determining the mod-\(2^k\) behaviour of recursive sequences, with applications to subgroup counting
The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We present a method to obtain congruences modulo powers of $2$ for sequences given by recurrences of finite depth with polynomial coefficients. We apply this method to Catalan numbers, Fuß--Catalan numbers, and to subgroup counting functions associated with Hecke groups and their lifts. This leads to numerous new results, including many extensions of known results to higher powers of $2$.
DOI : 10.37236/2433
Classification : 05A15, 20E07, 11A07, 11B37
Mots-clés : generating functions, formal power series, congruences, subgroup growth 
@article{10_37236_2433,
     author = {M. Kauers and C. Krattenthaler and T. W. M\"uller},
     title = {A method for determining the mod-\(2^k\) behaviour of recursive sequences, with applications to subgroup counting},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {2},
     doi = {10.37236/2433},
     zbl = {1260.05008},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2433/}
}
TY  - JOUR
AU  - M. Kauers
AU  - C. Krattenthaler
AU  - T. W. Müller
TI  - A method for determining the mod-\(2^k\) behaviour of recursive sequences, with applications to subgroup counting
JO  - The electronic journal of combinatorics
PY  - 2011
VL  - 18
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.37236/2433/
DO  - 10.37236/2433
ID  - 10_37236_2433
ER  - 
%0 Journal Article
%A M. Kauers
%A C. Krattenthaler
%A T. W. Müller
%T A method for determining the mod-\(2^k\) behaviour of recursive sequences, with applications to subgroup counting
%J The electronic journal of combinatorics
%D 2011
%V 18
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/2433/
%R 10.37236/2433
%F 10_37236_2433
M. Kauers; C. Krattenthaler; T. W. Müller. A method for determining the mod-\(2^k\) behaviour of recursive sequences, with applications to subgroup counting. The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2. doi: 10.37236/2433

Cité par Sources :