(Updated 10.02.2024)

• (with Yazan Alamoudi) “Some q-hypergeometric identities associated with the partition theorems of Lebesgue, Schur, and Capparelli” (2025 preprint)
• “ (with Jason Johnson) Duality between prime factors andPrime Number theorem for Arithmetic Progressions – II (2024 Preprint)” See also – ArXiV 2410.18259 [math.NT]
• “Schmidt-type theorems via weighted partition identities”, Ramanujan J., Askey Memorial Issues,61 (2023, 701-714).
• (with Ankush Goswami) “Parity results concerning the generalized
  divisor function involving small prime factors of integers”- Dec 2021 preprint
  (To the memory of Prof. M. V. Subbarao on his Centenary)
• “Euler’s partition theorem and refinements without appeal to infinite products” Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra – in honor of Peter Paule for his 60th Birthday (V. Pillwein and C. Schneider, Eds.), Texts and Monographs in Symbolic Computation, Springer, Switzerland (2020), 9-23.
• “My association and collaboration with George Andrews – still going strong at 80” George E. Andrews, 80 years of Combinatory Analysis (K. Alladi, B. C. Berndt, P. Paule, J. A. Sellers, A. J. Yee – Eds.), Trends in Math. Series, Birkhauser, Switzerland (2021), 9-31
• “Ramanujan’s legacy – the work of the SASTRA Prize winners” Philosophical Transactions of the Royal Society, Vol. 378 (2020), 1-19. (Special Issue in celebration of the centenary of Ramanujan’s election as FRS)
• (With Todd Molnar) On the local distribution of the number of small prime factors – a variation of the classical theme, Ramanujan J., Vol. 51 (2020), pp 117-151.
• Partitions with non-repeating odd parts and combinatorial identities, Annals of Combinatorics (Annals of Combinatorics, 20 (2016), 1-20.)
• (with George E. Andrews), The dual of Gollnitz’ (Big) partition theorem, The Ramanujan Journal – Basil Gordon Memorial Issues, 36 (2015), 171-201.
• Partial theta identities of Ramanujan, Andrews, and Rogers-Fine involving the squares, in The Legacy of Srinivasa Ramanujan, Proc. Ramanujan 125 Conf., New Delhi 2012, RMS-Lecture Notes Series 20 (2013), 29-53
• A multi-dimensional extension of Sylvester’s identity, International Journal of Number Theory 13 (2017) 2487-2504
• (With Colin Defant) Revisiting the Riemann zeta function at the even positive integers, International Journal of Number Theory, 14 (2018), 1849-1856.

Solo papers of my PhD student based on my work

• Yazan Alamoudi: “A bijective proof of Andrews’ refinement of the Alladi-Schur theorem” (2024 preprint) – see arXiv: 2410.15630 [math.NT]
• Sroyon Sengupta: “Algebraic analogues of the results of Alladi-Johnson using the Chebotarev density theorem” (2024 preprint) – see arXiv: 2410.22226 [math. NT]