Certainly! Gautam Swami, also known as Indrabhuti Gautam, was the chief disciple (Ganadhara) of Lord Mahavira, the 24th Tirthankara in Jainism. Devotees often recite shlokas or prayers in his honor for blessings, wisdom, and spiritual growth. Here is a popular Jain shloka dedicated to Gautam Swami:

गौतमस्वामी स्तुति:

गौतमगणधरं वन्दे, ज्ञानदर्शनदायकम्। सर्वसंकल्पसंक्लेशं, नाशयित्वा सुखावहम्॥

Transliteration: Gautama-ganadharaṃ vande, jñāna-darśana-dāyakam। Sarva-saṅkalpa-saṅkleśaṃ, nāśayitvā sukhāvaham॥

Meaning: I bow to Gautam Ganadhara, the giver of knowledge and right perception, who destroys all confusions and sufferings, and bestows happiness.

You may also find the following prayer recited in honor of Gautam Swami:

गौतम प्रभु! तव ध्यान से, मिटे मोह अज्ञान। मुक्ति पथ के पथिक बने, पायें सच्चा ज्ञान॥

If you would like a longer stuti or more details about Gautam Swami, feel free to ask!