  We have analyzed heat capacity and thermal conductivity measurements of
Sr2RuO4 in the normal and superconducting state and come to the conclusion that
an order parameter with nodal lines on the Fermi surface is required to account
for the observed low-temperature behavior. A gapped order parameter is
inconsistent with the reported thermodynamic and transport data. Guided by a
strongly peaked dynamical susceptibility along the diagonals of the Brillouin
zone in neutron scattering data, we suggest a spin-fluctuation mechanism that
would favor the pairing state with the gap maxima along the zone diagonals
(such as for a d_{xy} gap). The most plausible candidates are an odd parity,
spin-triplet, f-wave pairing state, or an even parity, spin-singlet, d-wave
state. Based on our analysis of possible pairing functions we propose
measurements of the ultrasound attenuation and thermal conductivity in the
magnetic field to further constrain the list of possible pairing states.
