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Śrī Caitanya-caritāmṛta
Sāgara generally stay at Badarikāśrama, and their  brahmacārī  name is Ānanda. Those with the titles Sarasvatī, Bhāratī and Purī usually live at Śṛṅgerī in South India, and their  brahmacārī  name is Caitanya.
Śrīpāda Śaṅkarācārya established four monasteries in India, in the four directions north, south, east and west, and he entrusted them to four  sannyāsīs  who were his disciples. Now there are hundreds of branch monasteries under these four principal monasteries, and although there is an official symmetry among them, there are many differences in their dealings. The four different sects of these monasteries are known as Ānandavāra, Bhogavāra, Kīṭavāra and Bhūmivāra, and in course of time they have developed different ideas and different slogans.
According to the regulation of the disciplic succession, one who wishes to enter the renounced order in Śaṅkara's sect must first be trained as a  brahmacārī  under a bona fide  sannyāsī . The  brahmacārī 's name is ascertained according to the group to which the  sannyāsī  belongs. Lord Caitanya accepted  sannyāsa  from Keśava Bhāratī. When He first approached Keśava Bhāratī, He was accepted as a  brahmacārī , with the name Śrī Kṛṣṇa Caitanya Brahmacārī. After He took  sannyāsa , He preferred to keep the name Kṛṣṇa Caitanya.
The great authorities in the disciplic succession had not offered to explain why Lord Caitanya refused to take the name Bhāratī after He took  sannyāsa  from a Bhāratī, until Śrīla Bhaktisiddhānta Sarasvatī Gosvāmī Mahārāja volunteered the explanation that because a  sannyāsī  in the Śaṅkara-sampradāya thinks that he has become the Supreme, Lord Caitanya, wanting to avoid such a misconception, kept the name Śrī Kṛṣṇa Caitanya, placing Himself as an eternal servitor. A  brahmacārī  is supposed to serve the spiritual master; therefore He did not negate that relationship of servitude to His spiritual master. Accepting such a position is favorable for the relationship between the disciple and the spiritual master.
The authentic biographies also mention that Lord Caitanya accepted the  daṇḍa  (rod) and begging pot, symbolic of the  sannyāsa  order, at the time He took  sannyāsa .
TEXT 35
હાંસ યુગાવતાર જાનિ’ ગર્ગ મહાભય ।
कृष्णस्य नामकरणे कस्मिन् मिर्ग्य ॥ ७७ ॥
tāṅra yugāvatāra jāni’ garga mahāśaya kṛṣṇera nāma-karaṇe kariyāche nirṇaya
SYNONYMS
tāṅra —of Him;  yuga-avatāra —incarnation for the age;  jāni’ —knowing;  garga —Gargamuni;  mahāśaya —the great personality;  kṛṣṇera —of Lord Kṛṣṇa;  nāma-karaṇe —in the name-giving ceremony;  kariyāche —made;  nirṇaya —ascertainment.
TRANSLATION
Knowing Him [Lord Caitanya] to be the incarnation for the Kali-yuga, Gargamuni, during the naming ceremony of Kṛṣṇa, predicted His appearance.