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In the recent preprints the authors claim that conclusions on the violationof the Luttinger sum rule (LSR) as put forward in published papers by thepresent authors are false or at least not conclusive enough. It concerns thevalidity of the LSR within the Mott-Hubbard insulator as manifested in the 1Dmodel of spinless fermions, and the Hubbard model on a triangular lattice. Weshow below that arguments against the presented analysis are rather easilyrejected while still the general question of the validity and breakdown of theLSR remains to be answered.

Reply to the Comments by B. Farid and A.M. Tsvelik, arXiv:0909.2886v1, and B. Farid, arXiv:0909.2887v1