Research

Publications

• R. K. Mistri and N. Prajapati, Direct and inverse problems for restricted signed sumsets. J. Number Theory 2026, 285, 74-134.

• R. K. Mistri, Subset and subsequence sums with bounded number of terms, Integers 2024, 24, Paper No. A116, 35 pp.

• Mohan; R. K. Mistri and R. K. Pandey, Direct and Inverse Problems for the restricted signed sumset in the set of integers, Integers 2024, 24, Paper No. A81, 36 pp.

• J. Bhanja; R. K. Mistri, The sizes of restricted sums of multisets. Proc. Indian Acad. Sci. Math. Sci. 2023, 133:40, 10 pp.

• H. K. Dwivedi; R. K. Mistri, Direct and inverse problems for subset sums with certain restrictions. Integers 2022, 22, Paper No. A112, 13 pp.

• R. K. Mistri, Polynomial method for estimating the lower bound for the cardinality of mixed sumsets. Acta Math. Hungar. 2021, 164 (2), 331-340. https://doi.org/10.1007/s10474-021-01159-1

• K. K. Kataria; R. K. Mistri, Generalized binomial theorem via Laplace transform technique, Math. Gaz. 2021, 105 (564), 516-520. http://dx.doi.org/10.1017/mag.2021.124

• R. K. Mistri; R. K. Pandey and O. Prakash, A generalization of sumset and its applications, Proc. Indian Acad. Sci. Math. Sci. 2018, 128 (5), Article: 55, 8 pp.

• R. K. Mistri, Sum of dilates of two sets. Notes Number Theory Discrete Math. 2017, 23 (4), 34-41.

• R. K. Mistri; R. K. Pandey and O. Prakash, Subset and subsequence sums in integers.  J. Comb. Number Theory  2016, 8 (3), 207-223.

• R. K. Mistri and R. K. Pandey, The direct and inverse theorems on integer subsequence sums revisited. Integers 2016, 16, Paper No. A32, 8 pp.

• R. K. Mistri and R. K. Pandey; O. Prakash, Subsequence Sums: Direct and inverse problems. J. Number Theory 2015, 148, 235-256.

• R. K. Mistri and R. K. Pandey, A generalization of sumsets of set of integers. J. Number Theory 2014, 143, 334-356.

• R. K. Mistri and R. K. Pandey, Derivative of an ideal in a number ring. Integers 2014, 14, Paper No. A24, 12 pp.

Preprints

• R. K. Mistri and N. Prajapati, Structure of sets with small product sets in torsion-free groups, cyclic groups of prime orders and abelian groups, Preprint, arXiv: 2602.19168 (2026) 50 pp. Available at https://arxiv.org/abs/2602.19168.

• V. Goswami and R. K. Mistri, Restricted set addition in finite abelian groups, Preprint, arXiv:2603.04572 (2026) 18 pp. Available at https://arxiv.org/abs/2603.04572

• V. Goswami and R. K. Mistri, The maximum size of sumsets in finite cyclic groups, Preprint, arXiv:2508.13125 (2025) 15 pp. Available at https://arxiv.org/abs/2508.13125

• R. K. Mistri and R. Thangadurai, Restricted-sum-dominant sets, Preprint, arXiv:1712.09226v1 (2017) 7 pp.

MSc Thesis Supevised

• Mahendra Kumar (2024-25-W): Polynomial Methods in Additive Number Theory and its Application.

• Himanshu Kumar Dwivedi (2020-21-M & 2020-21-W): Study of certain subset sum problems through unified approach.