Supersymmetry and the Riemann zeros on the critical line

Ashok Das; Pushpa Kalauni

doi:10.1016/j.physletb.2019.02.040

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arXiv · 1810.02204

Supersymmetry and the Riemann zeros on the critical line

Ashok Das·Pushpa Kalauni

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Abstract

We propose a new way of studying the Riemann zeros on the critical line using ideas from supersymmetry. Namely, we construct a supersymmetric quantum mechanical model whose energy eigenvalues correspond to the Riemann zeta function in the strip $0< {\rm Re}\, s < 1$ (in the complex parameter space) and show that the zeros on the critical line arise naturally from the vanishing ground state energy condition in this model.

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Ashok Das, Pushpa Kalauni. 2019-02-23. Supersymmetry and the Riemann zeros on the critical line. https://doi.org/10.1016/j.physletb.2019.02.040

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