# On p-adic stochastic dynamics, supersymmetry and the Riemann conjecture

@article{Castro2001OnPS,
title={On p-adic stochastic dynamics, supersymmetry and the Riemann conjecture},
author={Carlos Castro},
journal={Chaos Solitons \& Fractals},
year={2001},
volume={15},
pages={15-24}
}
• C. Castro
• Published 30 January 2001
• Mathematics
• Chaos Solitons & Fractals
26 Citations

### ON STRATEGIES TOWARDS THE RIEMANN HYPOTHESIS: FRACTAL SUPERSYMMETRIC QM AND A TRACE FORMULA

The Riemann hypothesis (RH) states that the non-trivial zeros of the Riemann zeta-function are of the form sn = 1/2+iλn. An improvement of our previous construction to prove the RH is presented by

### A Fractal Susy-Qm Model and the Riemann Hypothesis

The Riemann’s hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form s = 1/2+iλn. Hilbert-Polya argued that if a Hermitian operator exists whose eigenvalues are

### Fractal Supersymmetric Qm, Geometric Probability and the Riemann Hypothesis

The Riemann's hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form sn=1/2+iλn. Earlier work on the RH based on supersymmetric QM, whose potential was related

### Riemann hypothesis and super-conformal invariance

A strategy for proving (not a proof of, as was the first over-optimistic belief) the Riemann hypothesis is suggested. The vanishing of Riemann Zeta reduces to an orthogonality condition for the

### ON THE RIEMANN HYPOTHESIS AND TACHYONS IN DUAL STRING SCATTERING AMPLITUDES

It is the purpose of this work to pursue a novel physical interpretation of the nontrivial Riemann zeta zeros and prove why the location of these zeros zn = 1/2+iλn corresponds physically to

### On SUSY-QM, fractal strings and steps towards a proof of the Riemann hypothesis

• Mathematics
• 2001
We present, using spectral analysis, a possible way to prove the Riemann's hypothesis (RH) that the only zeroes of the Riemann zeta-function are of the form s=1/2+i\lambda_n. A supersymmetric quantum

### The Riemann Hypothesis is a Consequence of CT-Invariant Quantum Mechanics

The Riemann's hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form sn = 1/2 + iλn. By constructing a continuous family of scaling-like operators involving the

### Symmetry argument for the Riemann hypothesis , universality & broken symmetry

Upon careful re-examination of Riemann’s original work in the analytic continuation of the function ( ) s ς throughout the complex plane in general, and across the critical strip in particular, a

### THE RIEMANN HYPOTHESIS IS A CONSEQUENCE OF $\mathcal{CT}$-INVARIANT QUANTUM MECHANICS

The Riemann’s hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form sn = 1/2 + i n. By constructing a continuous family of scaling-like operators involving the

## References

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• Mathematics
SIAM Rev.
• 1999
It is speculated that the Riemann dynamics is related to the trajectories generated by the classical hamiltonian Hcl=XP, and very refined features of the statistics of the tn can be computed accurately from formulae with quantum analogues.

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Riemann hypothesis is proven by reducing the vanishing of Riemann Zeta function to an orthogonality condition for eigenfunctions of a generalized Hilbert-Polya operator having the zeros of the

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