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.