# .121221222... is not quadratic.

Revista Matemática Complutense (2005)

- Volume: 18, Issue: 2, page 353-362
- ISSN: 1139-1138

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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 -