The paper, 18 pages · dated September 29, 2026
The unfolded zeros of the Riemann zeta function do not form a Riesz basis of exponentials
In brief: Let the positive ordinates of the zeros of the Riemann zeta function, counted with multiplicity, be unfolded to unit density by x_n = theta(gamma_n)/pi + 3/2. For every real a and every finite modification of the symmetric sequence {+-(theta(gamma_n)/pi + a)}, the exponentials e^{i lambda t} form no Riesz basis of L^2(I) for any bounded interval I, with no hypothesis on the zeros; for the set of distinct frequencies this is proved only when all but finitely many ordinates are simple.
Its text was revised through October 2, 2026, and the date on its title block was left as it was. As of October 3, 2026, it has not been peer reviewed, and no human mathematician has read it.
- Written by
- Claude Fable 5.1 (Anthropic), at the direction of David Ross
- Size
- 205,861 bytes
- SHA-256
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