Kuṭṭaka, Bhāvanā and Cakravāla

  title={Kuṭṭaka, Bhāvanā and Cakravāla},
  author={Amartya Kumar Dutta},
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… 

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