In a parallel or series circuit comprising an inductor and a capacitor, is the resonant frequency value of the circuit affected by subjecting the inductor to a magnetic field ?
It depends on the inductor. If the inductance of the inductor depends on the magnetic field the answer is yes, if not the answer is no.
Hence, the answer would be no if the inductor is just e.g a coil; but if it has e.g. a ferrite core where the permeability depends on the magnetic field then the answer would be yes.