In the regime of linear response theory, a detailed investigation has been made of the thermodynamic and thermotransport properties of a two-dimensional electron gas modulated by a one-dimensional periodic magnetic field. The presence of the magnetic modulation leads to Weiss-like oscillations in the thermal magnetotransport coefficients. At lower temperatures (T = 1, 2 K) and for a weak magnetic field , there are just Weiss oscillations, while at , the usual Shubnikov - de Haas oscillations appear and overlap the envelopes of the slow oscillations (Weiss oscillations). At higher temperatures (T = 4, 10 K), there are just Weiss oscillations. The thermal magnetotransport coefficients have a stronger dependence on the temperature than the electrical ones .