3 papers
math.NT2026
Fourier coefficients and cuspidality of modular forms: a new approach
Soumya Das
We provide a simple and new induction based treatment of the problem of distinguishing cusp forms from the growth of the Fourier coefficients of modular forms. Our approach gives t…
math.DS2025
Results on Dynamics of Bungee set of Composite Entire Functions in the Eremenko-Lyubich Class
Dinesh Kumar, Soumyajeet Das
In this paper, we have discussed the dynamics of composite entire functions in terms of relationship between bungee set, escaping set and filled-in Julia set. We have established s…
quant-ph2025
Aspects of Quantum Entanglement and Indistinguishability
Soumya Das
This thesis investigates the entanglement of distinguishable and indistinguishable particles, introducing a new error model for Hardy's test, experimentally verified using supercon…