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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. A note on Lin's conjecture on PDO_t(n) (under review), (with R. Barman).

  2. Hook length biases in ordinary and t-regular partitions, Journal of Number Theory 264 (2024), 41-58, (with R. Barman).

  3. Arithmetic properties and asymptotic formulae for $\sigma_omex(n)$ and $\sigma_emex(n)$, The Ramanujan Journal 65 (2024), 125-137, (with R. Barman).

  4. Arithmetic properties of certain t-regular partitions, Annals of Combinatorics 28 (2024), 439-457, (with R. Barman and A. Singh).

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

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

 

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