Nous démontrons que pour tout entier supérieur à une constante effectivement calculable, la distance de à l’entier le plus proche est minorée par .
We prove that, for all integers exceeding some effectively computable number , the distance from to the nearest integer is greater than .
@article{JTNB_2007__19_1_311_0,
author = {Zudilin, Wadim},
title = {A new lower bound for ${\Vert (3/2)^k\Vert }$},
journal = {Journal de Th\'eorie des Nombres de Bordeaux},
pages = {311--323},
publisher = {Universit\'e Bordeaux 1},
volume = {19},
number = {1},
year = {2007},
doi = {10.5802/jtnb.588},
mrnumber = {2332068},
zbl = {1127.11049},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jtnb.588/}
}
TY - JOUR
AU - Zudilin, Wadim
TI - A new lower bound for ${\Vert (3/2)^k\Vert }$
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2007
DA - 2007///
SP - 311
EP - 323
VL - 19
IS - 1
PB - Université Bordeaux 1
UR - http://www.numdam.org/articles/10.5802/jtnb.588/
UR - https://www.ams.org/mathscinet-getitem?mr=2332068
UR - https://zbmath.org/?q=an%3A1127.11049
UR - https://doi.org/10.5802/jtnb.588
DO - 10.5802/jtnb.588
LA - en
ID - JTNB_2007__19_1_311_0
ER -
Zudilin, Wadim. A new lower bound for ${\Vert (3/2)^k\Vert }$. Journal de Théorie des Nombres de Bordeaux, Tome 19 (2007) no. 1, pp. 311-323. doi : 10.5802/jtnb.588. http://www.numdam.org/articles/10.5802/jtnb.588/
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