Monthly Archives: January 2020

Eisenstein’s Proof of Quadratic Reciprocity

Posted on January 25, 2020 by Shobhit Bhatnagar

In this post, we present an interesting proof of the Quadratic Reciprocity theorem given by Gotthold Eisenstein. Continue reading →

Posted in Number Theory | Leave a comment

Simplification of Incomplete Beta Functions

Posted on January 24, 2020 by Shobhit Bhatnagar

In this post, we derive closed form solutions for two incomplete beta integrals using properties of the Weierstrass P function. These problems are from a math.stackexchange.com question posted by Vladimir Reshetnikov. Continue reading →

Posted in Elliptic Integrals | Leave a comment