Halāyudha (Sanskrit: हलायुध) wrote theMṛtasañjīvanī, acommentary onPingala'sChandaḥśāstra, was an Indian Mathematician and poet who lived and worked in the 10th century.^[1] TheChandaḥśāstra by the Indian lyricistPiṅgala (3rd or 2nd century BC) somewhat crypically describes a method of arranging two types of syllables to formmetres of various lengths and counting them; as interpreted and elaborated byHalāyudha his "method of pyramidal expansion" (meru-prastāra) for counting metres is equivalent toPascal's triangle.^[2][3]

Halayudha originally resided at theRashtrakuta capitalManyakheta, where he wrote under the patronage of emperorKrishna III. HisKavi-Rahasya eulogizes Krishna III. Later, he migrated toUjjain in theParamara kingdom. There, he composedMṛta-Sañjīvanī in honour of the Paramara kingMunja.^[4]

Halayudha composed the following works:^[4]

• Kavi-Rahasya, a book on poetics
• Mṛta-Sañjīvanī, a commentary on Pingala'sChandaḥ-śāstra
• Abhidhana-ratna-mala, a lexicon
• Halāyudha Kośa, a dictionary

• Indian mathematicians

History of Rashtrakutas

• Ganga Prasad Yadava (1982).Dhanapāla and His Times: A Socio-cultural Study Based Upon His Works. Concept.OCLC 9760817.

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