Recent posts
A Linear algebra story.
A good bet to lose? This story is about my Linear Algebra course offered in Spring 2023. This is the second time I am teaching this; this time its fully offline. The students are a mix. Some first years…
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An uncountable number of proofs of the Pythagoras Theorem
Sagar Shrivastava (TIFR) and I have a new article, on proofs of Pythagoras Theorem. Sagar is finishing his PhD thesis under the direction of C. S. Rajan, who has moved to Ashoka University. This paper was the result of…
Read moreDr. Sneh Raj – Sneh Mausi – Bua – Daadi – is no more.
My Mausi, Dr. Sneh Raj is no more. She died at age 91. She went on her own terms. She said she did not wish any tubes or artificial means of respiration (and such) and her family respected her…
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Telescoping continued fractions
Krishnan Rajkumar (JNU) and I have a new preprint — on telescoping continued fractions. I have written previously on telescoping and several times on continued fractions, but this one is unique. I don’t think anyone has tried to combine…
Read moreAndrews' approach to conjecture the Rogers-Ramanujan identities
If something is worth doing, then I suppose it is worth doing again. I had previously written an article on how to discover the Rogers-Ramanujan identities. That was based on ideas of Dick Askey. In this talk I presented…
Read moreLest we forget them (Edited) – By P. K. Ghosh
An email Asoke and I sent with a link to P K Ghosh’s article “Lest we forget them”. I have previously written a book review of PKG’s novel: On returning to desh. IITs of India are known worldwide as…
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Mummy's 90th birthday
My mother, Dr. Hem Bhatnagar, completed 90 years on October 28, 2019. We asked her family and friends if they wished…
Thank you, Dick
From R to L (facing camera): Ae Ja Yee, Bruce Berndt, Dick Askey, Shaun Cooper, Michael Schlosser, and me At Alladi…
On Entry II.16.12 of Ramanujan
Bruce’s Return gift: A daily reminder of Ramanujan In June, 2019, I attended a very inspiring conference, held at the University…
Prime number conjectures from the Shapiro class structure
The first of hopefully many joint projects with my childhood friend Hartosh Singh Bal. For many reasons this has been a…
An infinite family of Borwein-type + – – conjectures
Another collaboration with Michael Schlosser written to celebrate the 80th birthday of Professor George Andrews. The paper’s opening paragraph talks about…
Orthogonal polynomials associated with continued fractions
My first joint paper with Professor Mourad Ismail. This has been a most interesting collaboration. Mourad taught me what to do…
A bibasic Heine transformation formula
While studying chapter 1 of Andrews and Berndt’s Lost Notebook, Part II, I stumbled upon a bibasic Heine’s transformation. A special…
Mathematics and Life: A Speech
On August 27, 2018, I was invited by the Millennium School, Noida to their investiture ceremony. I have previously taught mathematics…
The determinant of an elliptic, Sylvesteresque matrix
My second determinant project with Christian Krattenthaler. The determinant of the Sylvester matrix corresponding to the polynomials \[ x^2+2s_1x+s_1^2 = (x+s_1)^2…
How to discover the exponential function
Another article on the “How to discover/guess/prove/…” series written for a high school audience. The basic idea is to find a…
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Gaurav Bhatnagar 