Geodesic
Effectivization of a Lower Bound for $\|(4/3)^k\|$
Matematičeskie zametki, Tome 85 (2009) no. 6, pp. 927-935

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain an effective lower bound for $\|(4/3)^k\|$, where $\|\cdot\|$ denotes the distance to the nearest integer.
Keywords: Waring's problem, effective lower bound, Beukers estimate, Padé approximation, Stirling's formula.
Mots-clés : effective constant 
@article{MZM_2009_85_6_a9,
     author = {Yu. A. Pupyrev},
     title = {Effectivization of a {Lower} {Bound} for $\|(4/3)^k\|$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {927--935},
     publisher = {mathdoc},
     volume = {85},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a9/}
}
TY  - JOUR
AU  - Yu. A. Pupyrev
TI  - Effectivization of a Lower Bound for $\|(4/3)^k\|$
JO  - Matematičeskie zametki
PY  - 2009
SP  - 927
EP  - 935
VL  - 85
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a9/
LA  - ru
ID  - MZM_2009_85_6_a9
ER  - 
%0 Journal Article
%A Yu. A. Pupyrev
%T Effectivization of a Lower Bound for $\|(4/3)^k\|$
%J Matematičeskie zametki
%D 2009
%P 927-935
%V 85
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a9/
%G ru
%F MZM_2009_85_6_a9
Yu. A. Pupyrev. Effectivization of a Lower Bound for $\|(4/3)^k\|$. Matematičeskie zametki, Tome 85 (2009) no. 6, pp. 927-935. http://geodesic.mathdoc.fr/item/MZM_2009_85_6_a9/