# Kuṭṭaka, Bhāvanā and Cakravāla

```@inproceedings{Dutta2010KuakaBA,
title={Kuṭṭaka, Bhāvanā and Cakravāla},
author={Amartya Kumar Dutta},
year={2010}
}```
Ancient Indian mathematical treatises contain ingenious methods for finding integer solutions of indeterminate (or Diophantine) equations. The three greatest landmarks in this area are the kuṭṭaka method of Āryabhaṭa for solving the linear indeterminate equation ay − bx c c, the bhāvanā law of Brahmagupta, and the cakravāla algorithm described by Jayadeva and Bhāskara II for solving the quadratic indeterminate equation Dx2 + 1 = y2. We shall briefly recall the history of the above equations in…
3 Citations
• Linguistics
• 2016
Our knowledge about the mathematical accomplishments in India prior to 300 BCE is derived primarily from ancient Sanskrit texts, especially the Vedic and the Vedāṅga treatises. The Vedic literature
It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea

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We illustrate recent developments in computational number theory by studying their implications for solving the Pell equation. We shall see that, if the solutions to the Pell equation are properly
We shall present Brahmagupta’s treatment of the indeterminate equation Dx2 + 1 = y2 highlighting some ideas of modern algebra that are implicit in this ancient work of 628 CE and discuss the
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