A new lower bound for ${\Vert (3/2)^k\Vert }$

Zudilin, Wadim. "A new lower bound for ${\Vert (3/2)^k\Vert }$." Journal de Théorie des Nombres de Bordeaux 19.1 (2007): 311-323. <http://eudml.org/doc/249966>.

@article{Zudilin2007,
abstract = {We prove that, for all integers $k$ exceeding some effectively computable number $K$, the distance from $(3/2)^k$ to the nearest integer is greater than $0\{.\}5803^k$.},
affiliation = {Department of Mechanics and Mathematics Moscow Lomonosov State University Vorobiovy Gory, GSP-2 119992 Moscow, Russia},
author = {Zudilin, Wadim},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Pade approximation; hypergeometric functions; Waring's problem},
language = {eng},
number = {1},
pages = {311-323},
publisher = {Université Bordeaux 1},
title = {A new lower bound for $\{\Vert (3/2)^k\Vert \}$},
url = {http://eudml.org/doc/249966},
volume = {19},
year = {2007},
}

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
PB - Université Bordeaux 1
VL - 19
IS - 1
SP - 311
EP - 323
AB - We prove that, for all integers $k$ exceeding some effectively computable number $K$, the distance from $(3/2)^k$ to the nearest integer is greater than $0{.}5803^k$.
LA - eng
KW - Pade approximation; hypergeometric functions; Waring's problem
UR - http://eudml.org/doc/249966
ER -

References

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