Daodao Yang
Daodao Yang
It is proved that if T is sufficiently large, then uniformly for all positive integers ℓ⩽(logT)/(log2T), we have maxT⩽t⩽2Tζ(ℓ)1+it⩾eγ·ℓℓ·(ℓ+1)-(ℓ+1)·lo...
Christian Elsholtz,Gabriel F Lipnik
Christian Elsholtz
In spite of a recent breakthrough on upper bounds of the size of cap sets (by Croot, Lev and Pach and by Ellenberg and Gijswijt), the classical cap set constructions had not been affected. In this work, we introduce a very different method ...
Filling space with hypercubes of two sizes - The pythagorean tiling in higher dimensions [0.03%]
两种大小的超立方体填满空间——勾股定理的高维推广
Jakob Führer
Jakob Führer
We construct a unilateral lattice tiling of R n into hypercubes of two differnet side lengths p or q. This generalizes the Pythagorean tiling in R 2 . We also show that this tiling is unique up to symmetries, which proves a variation ...
Davies, E. B.
Davies
Stolyarov, D. M.; Zatitskiy, P. B.; Petrov et al.
Stolyarov et al.
Mahler, K.
Mahler
Maltby, Roy
Maltby
Space-filling zonotopes [0.03%]
充满空间的悬韧带
Shephard, G. C.
Shephard