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It claims that it is a translation by Aryabhata, but the Sanskrit name of this work is not known.
Probably dating from the 9th century, it is mentioned by the Persian scholar and chronicler of India, Abū Rayhān al-Bīrūnī.
The name "Aryabhatiya" is due to later commentators. His disciple Bhaskara I calls it Ashmakatantra (or the treatise from the Ashmaka).
It is also occasionally referred to as Arya-shatas-a Sh Ta (literally, Aryabhata's 108), because there are 108 verses in the text.
It is written in the very terse style typical of sutra literature, in which each line is an aid to memory for a complex system.
A problem of great interest to Indian mathematicians since ancient times has been to find integer solutions to Diophantine equations that have the form ax by = c.
(This problem was also studied in ancient Chinese mathematics, and its solution is usually referred to as the Chinese remainder theorem.) This is an example from Bhāskara's commentary on Aryabhatiya: That is, find N = 8x 5 = 9y 4 = 7z 1. In general, diophantine equations, such as this, can be notoriously difficult.