233 citations · 1k across the 39 of their papers we have counts for
40 papers
Dynamics of coupled -dimensional Stuart-Landau oscillators
Pragjyotish Bhuyan Gogoi, Awadhesh Prasad, Aryan Patel +2
The Stuart-Landau oscillator generalized to dimensions has SO() rotational symmetry. We study the collective dynamics of a system of such oscillators of dimensions $…
Exactly solvable Stuart-Landau models in arbitrary dimensions
Pragjyotish Bhuyan Gogoi, Rahul Ghosh, Debashis Ghoshal +2
We use Clifford's geometric algebra to extend the Stuart-Landau system to dimensions and give an exact solution of the oscillator equations in the general case. At the super…
Shifted second moment of the Riemann zeta function and a Fourier type kernel
Parikshit Dutta, Debashis Ghoshal, Krishnan Rajkumar
We compute the second moment of the Riemann zeta function for shifted arguments over a domain that extends the ones in the literature. We use the Riemann-Siegel formula for the err…
A -arton Model for Modular Cusp Forms
Parikshit Dutta, Debashis Ghoshal
We propose to associate to a modular form (an infinite number of) complex valued functions on the -adic numbers for each prime . We elaborate on the correspond…
Phase operator on and the zeroes of Fisher and Riemann
Parikshit Dutta, Debashis Ghoshal
The distribution of the non-trivial zeroes of the Riemann zeta function, according to the Riemann hypothesis, is tantalisingly similar to the zeroes of the partition functions (Fis…
Pseudodifferential Operators on and -Series
Parikshit Dutta, Debashis Ghoshal
We define a family of pseudodifferential operators on the Hilbert space of complex valued square-integrable functions on the -adic number field $\mathbf{Q}_p…