Recent Mathematical Publications
(All links are PDFs of up to 1.6 MB in size.)
2024
- The large sieve revisited, Acta Arithmetica, 2024.
- A simple proof of the Wiener-Ikehara Tauberian theorem, (with Akshaa Vatwani and Jagannath Sahoo), Expositiones Mathematicae, 42 (2024) 125570.
- A note on the two variable Artin's conjecture, (with Suhita Hazra and Jyothsnaa Sivaraman), Journal of Number Theory, 262 (2024), 161-185.
- Unimodal sequences: from Isaac Newton to June Huh, International Journal of Number Theory, 2024.
- A function related to the MordellWeil rank of elliptic curves, (with A. B. Dixit, S.S. Pathak), International Journal of Number Theory, 2024.
- Fermat Quotients and the Ankeny-Artin-Chowla Conjecture (with N. Fellini), in K. Chakraborty et al. (eds.), Class Groups of Number Fields and Related Topics, Springer Proceedings in Mathematics & Statistics 470, pp. 1-23, 2024.
2025
- Higher convolutions of Ramanujan sums, (with Shivani Goel), Journal of Number Theory 271 (2025), 99-108.
- On values of the digamma function at rational arguments (with A. Bharadwaj and S. Pathak), Research in Number Theory, (2025) 11:104.
- Triple convolution of Ramanujan sums and applications, (with S. Chaubey, G. Coppola, S. Goel) Hardy-Ramanujan Journal 48 (2025) Part A, 209-219.
- Brun's inequality for a geometric lattice,(with S. Naik), Electronic Journal of Combinatorics, 32(4) (2025)#P4.70.
2026
- On the moments of averages of Ramanujan sums,(with Shivani Goel), Journal of Number Theory, 279 (2026), 987-1003.
- A triple convolution sum of the divisor function,(with Bikram Misra and Biswajyoti Saha), Journal of Number Theory, (283) (2026), 97-120.
- Wieferich primes in number fields and the conjectures of Ankeny-Artin-Chowla and Mordell, (with N. Fellini), Journal of Number Theory 285 (2026) 209-229.
- Markov Processes and Brain Network Hubs, (with A. N. Prasad), Resonance, June 2026, p. 859-879.
- Some Reflections on the Partition Function, in Some Contributions to Number Theory and Beyond, Fields Institute Communications 90, edited by B. Balasubramanian et al., pp. 33-51, 2026.
Recent Philosophical Publications
- Creativity and Meditation, American VedantistSeptember (2020), 1-9.
- Ahimsa, Jainism and the Covid Pandemic, Part 1 Samvit, September 2023, 43-49.
- Ahimsa, Jainism and the Covid Pandemic, Part 2 Samvit, March 2024, 43-49.
Philosophy talks
How the mind works, February 5, 2006, Vedanta Societies of Boston and Providence
Mathematical Reviews of My Papers
Mathematical Genearlogy