Explanation: Ramanuja, a significant figure in the Vaishnava tradition, was born in Tamil Nadu and was deeply influenced by the Alvars, a group of 12 poet-saints who were devoted to Lord Vishnu. The Alvars lived between the 7th and 9th centuries and composed devotional hymns in Tamil, which are collectively known as the Divya Prabandham. These hymns are considered to be among the most important texts in the Vaishnava tradition.
Ramanuja, who lived in the 11th and 12th centuries, was influenced by the Alvars' teachings and incorporated their ideas into his own philosophy, known as Vishishtadvaita. Vishishtadvaita emphasizes the importance of devotion to Vishnu and the belief in the ultimate reality of the universe as a manifestation of Vishnu. Ramanuja's philosophy is a form of qualified non-dualism, which means that while the universe is ultimately a manifestation of Vishnu, it also has its own distinct existence.
Ramanuja's influence on the Vaishnava tradition is significant, and his teachings continue to be studied and practiced by many Vaishnavas today. His contributions to the tradition include the establishment of temples and the promotion of the worship of Vishnu. Ramanuja's philosophy and teachings are deeply rooted in the devotional tradition of the Alvars, and his work has had a lasting impact on the religious and cultural landscape of Tamil Nadu.
The other options, Poigai Alvar, Bhoothath Alvar, and Pey Alvar, are all Alvars themselves and are not known for being influenced by the Alvars. They are part of the group of 12 Alvars who composed the Divya Prabandham and are revered for their devotion to Lord Vishnu. Therefore, the correct answer is Ramanuja, who was born in Tamil Nadu and was deeply influenced by the Alvars.