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math.NT2023
Parity distribution and divisibility of Mex-related partition functions
Subhrajyoti Bhattacharyya, Rupam Barman, Ajit Singh +1
Andrews and Newman introduced the mex-function for an integer partition of a positive integer as the smallest positive integer congruent to modulo…
quant-ph2023
Polynomial representation for multipartite entanglement of resonating valence bond ladders
Ajit Iqbal Singh, Aditi Sen De, Ujjwal Sen
A resonating valence bond (RVB) state of a lattice of quantum systems is a potential resource for quantum computing and communicating devices. It is a superposition of singlet, i.e…
math.NT2023
Certain Diophantine equations and new parity results for -regular partitions
Ajit Singh, Gurinder Singh, Rupam Barman
For a positive integer , let denote the number of -regular partitions of a nonnegative integer . In a recent paper, Keith and Zanello investigated the par…