233 citations · 1k across the 39 of their papers we have counts for
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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…
Matrix Model for Riemann Zeta via its Local Factors
Arghya Chattopadhyay, Parikshit Dutta, Suvankar Dutta +1
We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is `-iecemeal', in the sense that we cons…
Enhanced Symmetry of the -adic Wavelets
Parikshit Dutta, Debashis Ghoshal, Arindam Lala
Wavelet analysis has been extended to the -adic line . The -adic wavelets are complex valued functions with compact support. As in the case of real wavelets, th…
Quantum Extended Arithmetic Veneziano Amplitude
Debashis Ghoshal
The Veneziano amplitude for the tree-level scattering of four tachyonic scalar of open string theory has an arithmetic analogue in terms of the p-adic gamma function. We propose a…