  We investigate the symmetry resolution of entanglement in the presence of
long-range couplings. To this end, we study the symmetry-resolved entanglement
entropy in the ground state of a fermionic chain that has dimerised long-range
hoppings with power-like decaying amplitude -- a long-range generalisation of
the Su-Schrieffer-Heeger model. This is a system that preserves the number of
particles. The entropy of each symmetry sector is calculated via the charged
moments of the reduced density matrix. We exploit some recent results on block
Toeplitz determinants generated by a discontinuous symbol to obtain
analytically the asymptotic behaviour of the charged moments and of the
symmetry-resolved entropies for a large subsystem. At leading order we find
entanglement equipartition, but comparing with the short-range counterpart its
breaking occurs at a different order and it does depend on the hopping
amplitudes.
