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RESEARCH AND PUBLICATIONS

Research Interest: I am a full time researcher in the Department of Mathematics, IIT Guwahati, under the supervision of Prof. Rupam Barman. My major research interests lie in Partition Theory and Modular Forms.

God created the natural numbers, and all the rest is the work of man.

~Kronecker

There are five fundamental operations of Mathematics: addition, subtraction, multiplication, division and modular forms.

~Martin Eichler

Publications/ Preprints:
 

  1. R. Barman and G. Singh, Hook length biases in ordinary and t-regular partitions (under review).

  2. R. Barman and G. Singh,  A note on Lin's conjecture on PDO_t(n) (under review).

  3. R. Barman and G. Singh, Arithmetic properties and asymptotic formulae for $\sigma_omex(n)$ and $\sigma_emex(n)$, The Ramanujan Journal (accepted).

  4. R. Barman, A. Singh, and G. Singh, Arithmetic properties of certain t-regular partitions, Ann. Comb. (2023). https://doi.org/10.1007/s00026-023-00649-z

  5. R. Barman, G. Singh, and A. Singh, Divisibility of the partition function PDOt(n) bypowers of 2 and 3, Bull. Aust. Math. Soc. 109 (1) (2024), 14-25.

  6. A. Singh, G. Singh, and R. Barman, Certain Diophantine equations and new parity results for 21-regular partitions, Acta Arithmetica 210 (2023), 337-351.

 

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