Chitrabhanu (IAST:Citrabhānu;fl. 16th century) was a mathematician of theKerala school and a student ofNilakantha Somayaji. He was aNambudiri brahmin from the town of Covvaram near present dayTrissur.^[1] He is noted for akaraṇa, a concise astronomical manual, dated to 1530, analgebraic treatise, and a commentary on a poetic text.Nilakantha and he were both teachers ofShankara Variyar.^[2][3]

He gave integer solutions to 21 types of systems of twosimultaneousDiophantine equations in two unknowns.^[2] These types are all the possible pairs of equations of the following seven forms:^[4]

${\displaystyle x+y=a,x-y=b,xy=c,x^2+y^2=d,x^2-y^2=e,x^3+y^3=f,x^3-y^3=g}$

For each case, Chitrabhanu gave an explanation and justification of his rule as well as an example. Some of his explanations are algebraic, while others are geometric.

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