In the context of Arogyavardhini Vati mentioned in Rasaratnasamucchaya, let's analyze the statements:
- Statement (1): Loha, Abhra, and Shulva Bhasma are indeed ingredients used in the preparation of Arogyavardhini Vati. This is true.
- Statement (2): It is mentioned to prepare vati of Rajakola Pramana. This is also correct, as Rajakola Pramana is a reference for the quantity in which the vati is prepared.
- Statement (3): Triphala and Trikatu are not required to be taken in equal quantities for this preparation. This statement is FALSE, as the specific proportions for Triphala and Trikatu are mentioned differently in the formulation.
- Statement (4): The Vati was indeed innovated by Nagarjuna Yogi, which is true.
Thus, the false statement is (3).