Geodesic
Steinhaus' lattice point problem for polyhedra
Hiroshi Maehara1
1 Ryukyu University Nishihara, Okinawa 903-0213, Japan
Colloquium Mathematicum, Tome 146 (2017) no. 1, pp. 123-128.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is proved that for every $d$-dimensional polyhedron $\varPi $ in ${\mathbb {R}}^d, \,d\ge 2$, with volume $n+\alpha ,\,|\alpha | \lt 1$, there is a congruent copy of $\varPi $ that contains exactly $n$ lattice points.
DOI : 10.4064/cm6213-5-2016
Keywords: proved every d dimensional polyhedron varpi mathbb volume alpha alpha there congruent copy varpi contains exactly lattice points

Hiroshi Maehara 1

1 Ryukyu University Nishihara, Okinawa 903-0213, Japan 
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Hiroshi Maehara. Steinhaus' lattice point problem for polyhedra. Colloquium Mathematicum, Tome 146 (2017) no. 1, pp. 123-128. doi : 10.4064/cm6213-5-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6213-5-2016/

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