Papers

  1. A simple proof of Burnside's criterion for all groups of order n to be cyclic, The Mathematics Student, Vol. 85, No.s 1-2, January-June (2016) 97-102.
  2. On a conjecture of Livingston, Canadian Math. Bull., Vol. 60 (1), (2017), 184-195.
  3. Evaluation of the quadratic Gauss sum, The Mathematics Student, Vol. 86, No.s 1-2, January-June (2017) 139-150.
  4. A vanishing criterion for Dirichlet series with periodic coefficients (with T. Chatterjee and M. Ram Murty), Contemporary Mathematics, Vol. 701 (2018) 69-80.
  5. Special values of derivatives of L-series and generalized Stieltjes constants (with M. Ram Murty), Acta Arithmetica, Vol. 184, Issue 2 (2018) 127-138.
  6. Distribution and Non-vanishing of special values of L-series attached to Erdős functions, International Journal of Number Theory, Vol. 15, No. 7 (2019) 1449-1462.
  7. Relations between certain power series and functions involving zeros of zeta functions (with M. Ram Murty), Proceedings of Number Theory: Arithmetic, Diophantine and Transcendence at IIT Ropar, RMS Lecture Notes Series, vol. 26 (2020) 203-222.
  8. Convolution of values of the Lerch zeta function (with M. Ram Murty), Journal of Number Theory, Vol. 217 (2020) 1-22.
  9. A note on values of the Dedekind zeta-function at odd positive integers (with M. Ram Murty), International Journal of Number Theory, Vol. 17, No. 8 (2021) 1753-1764.
  10. Transcendence of infinite series over lattices, Ramanujan Journal, Vol. 56 (2021) 971-992.
  11. On special values of Dirichlet series with periodic coefficients (with A. Bharadwaj), Journal of Number Theory, Vol. 238 (2022) 978-1011.
  12. The Okada space and vanishing of L(1,f) (with M. Ram Murty), Functiones et Approximatio, Vol. 66, Issue 1 (2022) 35-57.
  13. Linear independence of values of the q-exponential and related functions (with A. Dixit and V. Kumar), Bulletin of Australian Math. Soc., Vol. 109, No. 3 (2024) 453-463.
  14. A function related to the Mordell-Weil rank of elliptic curves (with A. Dixit and M. Ram Murty), to appear in the International Journal of Number Theory.
  15. A note on transcendence of special values of functions related to modularity (with T. Bhowmik), to appear in Acta Arithmetica.
  16. Rank stability of elliptic curves in certain metabelian extensions (with A. Ray) submitted.
  17. On zeros of variants of Ramanujan polynomials (with M. Charan and J. Meher) submitted.

Recent Talks and Conferences

  • RIMS Workshop 2024 - Analytic Number Theory and Related Topics, Kyoto, Japan. October 2024.
  • ICLANT-2024 conference, NIT Calicut, Kozhikode, India. June 2024.
  • SCHOLAR-II conference, Fields Institute, Toronto ON, Canada. May 2024.
  • AMS Fall Southeastern Sectional Meeting, Mobile AL, USA. October 2023.
  • AOWM Inaugural conference, ICTS Bangalore, India. April 2023.
  • A conference in number theory, NISER Bhubaneswar, India. February 2023.
  • The Ramanujan Math Society Symposium, SSN College, Chennai, India. December 2022.
  • Leuca - 2022, Conference celebrating birthdays of Claude Levesque, Damien Roy and Michel Waldschmidt, San Gregorio, Italy, May 2022.
  • University of Rochester Algebra and Number Theory Seminar, Online, January 2022.
  • SFB - Higher Invariants Lecture at University of Regensberg, Online, January 2022.
  • Special functions and number theory seminar, Online, May 2021.
  • University of Iowa GAUSS Seminar, Online, March 2021.
  • Wisconsin Number theory seminar, Online, March 2021.
  • University of Mississippi Number Theory Seminar, Online, March 2021.
  • IMSc Number theory seminar, Online, January 2021.
  • Fields Number Theory Seminar, Online, January 2021. Video Recording