In preparation:
Archit Agarwal, Meghali Garg, and Bibekananda Maji,
Rademacher type exact formula for restricted partition function.
Submitted:
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni, Bibekananda Maji, and Tanay Wakhare,
A divisor generating q-series and cumulants arising from random graphs
Submitted for publication, Jan 2025.
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni, and Bibekananda Maji,
A divisor generating q-series identity and its application to probability theory and random graphs
Submitted for publication, July 2024.
Accepted/Published:
Archit Agarwal,
One variable generalization of five entries of Ramanujan and their finite analogue
Ramanujan J. 67, Article no. 27(2025)
Archit Agarwal and Meghali Garg,
Infinite family of solutions for A^3 + B^3 = C^3 + D^3 and A^4 + B^4 + C^4 + D^4 + E^4 = F^4,
Int. J. Number Theory, 20 (2024), 531--547.
Archit Agarwal, Subhash Chand Bhoria, Pramod Eyyunni, and Bibekananda Maji,
Bressoud-Subbarao type weighted partition identities for a generalized divisor function,
Ann. Comb., 28 (2024), 555--574.
Archit Agarwal, Meghali Garg and Bibekananda Maji,
Riesz-type criteria for the Riemann hypothesis,
Proc. Amer. Math. Soc., 150 (2022), 5151-5163.