
My Research
Papers and pre-prints:
- Anamitro Biswas and Eshita Mazumdar, Davenport constant for finite abelian groups with higher rank, Mathematical Notes, vol. 118, 1-2, 2025 (accepted).
preprint
Add-on: The bounds for $D_r$ given by the formula proposed in this paper, can be calculated for groups upto rank 3, and the cycle lengths having in all at most 3 prime factors, using this R program. Prime $p_2$ has powers $e_1, e_2, e_3$ in ascending order, $p_2$ has powers $f_1, f_2, f_3$ in ascending order and $p_3$ has powers $g_1, g_2, g_3$ in ascending order. The program can be extended similarly for more primes and higher rank.
- Anamitro Biswas, Subhankar Jana and Juthika Mahanta, Application of Coast of a fuzzy set as a crisper synopsis of the fuzzy boundary (2025) [preprint]
Proceedings
- Anamitro Biswas (joint work with Eshita Mazumdar), Aspects of the Davenport Constant for Finite Abelian Groups (extended abstract), Proceedings of IMBIC: 18th International Conference on MSAST 2024, vol. 13, ISBN: 978-81-981948-0-0.
PDF from conference webpage
Thesis
- Anamitro Biswas, Coast of a fuzzy set as a 'crisper' subset of the boundary, under the supervision of Dr. Juthika Mahanta, National Institute of Technology Silchar (2023).
PDF
[thesis submitted in partial fulfillment of the requirements for the Project of the Master degree work]
In preparation
-
Anamitro Biswas, The Davenport constant for groups of rank 3, exact values and narrower bounds (in preparation).
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Anamitro Biswas and Eshita Mazumdar, Zero-sums of exponential length in k-restricted sequences over groups of
higher rank (in preparation).
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