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Ramanujan and $q$-continued fractions

Speaker: Gaurav Bhatnagar, Visiting Associate Professor, Ashoka University

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Abstract: It is exactly a hundred years since Ramanujan died at an early age of 32 years, but his mathematical legacy lives on. One of the things he was famous for was his work on continued fractions. We will give a brief introduction to Ramanujan’s life and the material available on his story and his work. We will show Ramanujan’s $q$-continued fractions and show how elementary ideas due to Euler can be used to prove some of Ramanujan’s continued fractions. We expect to briefly mention some topics of current research interest. Students are welcome, much of the talk will be suitable for a general audience.

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