Asteroseismology of luminous red giants with Kepler

Here, we perform asteroseismic analyses on LPVs observed by the 4-year Kepler mission. Using a cross-correlation method, we detect unambiguous pulsation ridges associated with radial fundamental modes (n=1) and overtones (n>=2), where the radial order assignment is made using theoretical frequencies and observed frequencies.

Our results confirm that the amplitude variability seen in semiregulars is consistent with oscillations being solar-like. We identify that the dipole modes, l=1, are dominant in the radial orders of 3=<n=<6, and that quadrupole modes, l=2, are dominant in the first overtone n=2. A test of seismic scaling relations using Gaia DR2 parallaxes reveals the possibility that the relations break down when {nu}_max_~<3{mu}Hz (R>~40R_{sun}_, or logL/L_{sun}_>~2.6).