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We introduce multifractal pressure and dynamical multifractal zeta-functions, providing precise information on a very general class of multifractal spectra, including, for example, the fine multifractal spectra of self-conformal measures and the fine multifractal spectra of ergodic Birkhoff averages of continuous functions.

Dynamical multifractal zeta-functions, multifractal pressure and fine multifractal spectra