Equation of state at finite temperature and chemical potential, lattice QCD results

We present an N_t = 4 lattice study for the equation of state of 2+1 flavour staggered, dynamical QCD at finite temperature and chemical potential. We suggest a method to quantify the statistical error of the overlap improving multi-parameter reweighting technique which we use to extend the equation of state for non-vanishing chemical potentials. The results are obtained on the line of constant physics and our physical parameters extend in temperature and baryon chemical potential upto ≈ 500-600 MeV. The continuum limit still must be taken and the quark mass reduced, to avoid potentially large systematic errors.