  We develop the theory of magnetoresistance oscillations in layered
quasi-two-dimensional (quasi-2D) metals. Using the Kubo-Streda formula, we
calculate the Hall intralayer conductivity in a magnetic field perpendicular to
conducting layers. The analytical expressions for the amplitudes and phases of
magnetic quantum oscillations (MQO) and of the difference or the so-called slow
oscillations (SO) are derived as a function of several parameters: magnetic
field strength, interlayer transfer integral, temperature, and the electron
mean-free time. We calculate the quantum oscillations of the magnetoresistance
tensor, because the magnetoresistance rather than conductivity is usually
measured. We also discuss the averaging of magnetoresistance oscillations over
MQO period due to finite temperature and long-range sample inhomogeneities. The
results obtained are useful to analyze experimental data on magnetoresistance
oscillations in various quasi-2D metals.
