.121221222... is not quadratic.
Revista Matemática Complutense (2005)
- Volume: 18, Issue: 2, page 353-362
- ISSN: 1139-1138
Access Full Article
top
Abstract
topHow to cite
topLuca, Florian. ".121221222... is not quadratic.." Revista Matemática Complutense 18.2 (2005): 353-362. <http://eudml.org/doc/44537>.
@article{Luca2005,
abstract = {In this note, we show that if b > 1 is an integer, f(X) ∈ Q[X] is an integer valued quadratic polynomial and K > 0 is any constant, then the b-adic number ∑n≥0 (an / bf(n)), where an ∈ Z and 1 ≤ |an| ≤ K for all n ≥ 0, is neither rational nor quadratic.},
author = {Luca, Florian},
journal = {Revista Matemática Complutense},
keywords = {Teoría algebraica de números; Series; Números irracionales; irrationality; infinite series; -adic numbers},
language = {eng},
number = {2},
pages = {353-362},
title = {.121221222... is not quadratic.},
url = {http://eudml.org/doc/44537},
volume = {18},
year = {2005},
}
TY - JOUR
AU - Luca, Florian
TI - .121221222... is not quadratic.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 2
SP - 353
EP - 362
AB - In this note, we show that if b > 1 is an integer, f(X) ∈ Q[X] is an integer valued quadratic polynomial and K > 0 is any constant, then the b-adic number ∑n≥0 (an / bf(n)), where an ∈ Z and 1 ≤ |an| ≤ K for all n ≥ 0, is neither rational nor quadratic.
LA - eng
KW - Teoría algebraica de números; Series; Números irracionales; irrationality; infinite series; -adic numbers
UR - http://eudml.org/doc/44537
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.