3 papers
math.NT2026
An elementary treatment of Ramanujan's elementary continued fractions
Gaurav Bhatnagar
We study the elementary continued fractions of Ramanujan. The entries considered are precursors of his hypergeometric and -hypergeometric continued fractions. They appear in the…
math.NT2026
The method of telescoping continued fractions
Gaurav Bhatnagar, Krishnan Rajkumar
We give an approach to discover continued fractions for series of the form where . We find a continued fraction of the form \be…
math.HO2023
An uncountable number of proofs of Pythagoras Theorem
Gaurav Bhatnagar, Sagar Shrivastava
We give an infinite number of proofs of Pythagoras theorem.Some can be classified as `self-similar proofs'.