Michele Bartuccelli’s paper “Sharp constants for the L-infinity norm on the torus and applications to dissipative partial differential equations” has appeared online in the journal “Differential and Integral Equations”.  In the paper, sharp estimates are obtained for the constants appearing in the Sobolev embedding theorems for the L-infinity norm on the d-dimensional torus for d=1,2,3.  The sharp constants are expressed in terms of the Riemann zeta function, the Dirichlet beta-series and various lattice sums.  Applications including the two dimensional Navier-Stokes equations are presented.  The online version of the paper can be found here.