Koustav Banerjee, Dr.

Publications

	Koustav Banerjee. Positivity of the second shifted difference of partitions and overpartitions: a combinatorial approach. Enumerative Combinatorics and Applications 3, pp. 1-4. 2023. ISSN 2710-2335. [url] [bib]
	K. Banerjee. Inequalities for the modified Bessel function of first kind of non-negative order. Journal of Mathematical Analysis and Applications 524, pp. 1-28. 2023. Elsevier, ISSN 1096-0813. [url] [bib]
	Koustav Banerjee, Peter Paule, Cristian-Silviu Radu, Carsten Schneider. Error bounds for the asymptotic expansion of the partition function. Rocky Mt J Math to appear, pp. ?-?. 2023. ISSN: 357596. arXiv:2209.07887 [math.NT]. [url] [bib]
	K. Banerjee, N.A. Smoot. 2-Elongated Plane Partitions and Powers of 7: The Localization Method Applied to a Genus 1 Congruence Family. Technical report no. 23-10 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. August 2023. [url] [pdf] [pdf] [covercore.tex] [prepend_cover.log] [bib]
	K. Banerjee. Invariants of the quartic binary form and proofs of Chen's conjectures on inequalities for the partition function and the Andrews' spt function. 2023. [pdf] [bib]
	K. Banerjee, M. G. Dastidar. Inequalities for the partition function arising from truncated theta series. Technical report no. 22-20 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. August 2022. [url] [pdf] [pdf] [covercore.tex] [prepend_cover.log] [bib]
	K. Banerjee, M. G. Dastidar. Hook Type enumeration and parity of parts in partitions. Research Institute for Symbolic Computation, JKU, Linz. Technical report no. RISC6596, 2022. [pdf] [bib]
	K. Banerjee, M. G. Dastidar. Ramanujan's theta functions and parity of parts and cranks of partitions. Technical report no. 22-19 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. August 2022. To appear in Annals of Combinatorics. [url] [pdf] [pdf] [covercore.tex] [prepend_cover.log] [bib]
	Banerjee Koustav, Bhattacharjee Sreerupa, Dastidar Manosij Ghosh, Mahanta Pankaj Jyoti, Saikia Manjil P. Parity biases in partitions and restricted partitions. European Journal of Combinatorics 103, pp. 103522-103522. 2022. Elsevier, ISSN 0195-6698. [pdf] [bib]
	K. Banerjee, P. Paule, C. S. Radu, W. H. Zeng. New inequalities for p(n) and log p(n). Research Institute for Symbolic Computation, JKU, Linz. Technical report no. RISC6607, 2022. To appear in the Ramanujan Journal. [pdf] [bib]
	K. Banerjee. An unified framework to prove multiplicative inequalities for the partition function. Research Institute for Symbolic Computation, JKU, Linz. Technical report no. RISC6614, 2022. [pdf] [bib]
	K. Banerjee, M. G. Dastidar. Hook type tableaux and partition identities. Notes on Number Theory and Discrete Mathematics 28(4), pp. 635-647. 2022. ISSN 2367–8275. [url] [bib]
	K. Banerjee. New asymptotics and inequalities related to the partition function. Research Institute for Symbolic Computation, Johannes Kepler University. PhD Thesis. 2022. [pdf] [bib]
	K. Banerjee, N. A. Smoot. The localization method applied to k-elongated plane partitions and divisibily by 5. Technical report no. 22-21 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. August 2022. [url] [pdf] [pdf] [covercore.tex] [prepend_cover.log] [bib]
	Prabir Das Adhikary, Koustav Banerjee. An elementary alternative proof for Chan's analogue of Ramanujan's most beautiful identity and some inequality of the cubic partition. Notes on Number Theory and Discrete Mathematics 23(1), pp. 77-87. 2017. 1310-5132 / 2367-8275. [url] [pdf] [bib]
	Koustav Banerjee, Atul Dixit. New Representations for $sigma(q)$ via Reciprocity Theorems. In: Analytic Number Theory, Modular Forms and q- Hypergeometric Series, George Andrews, Frank Garvan (ed.), pp. 39-57. 2016. 978-3-319-68376-8. [url] [bib]