Published November 10, 2025
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Spectral Structure of the Riemann Hypothesis
Authors/Creators
- 1. Investigador independiente, Salta, Argentina
Description
Este artículo presenta un marco
Abstract (Spanish)
Este artículo presenta un marco
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Additional details
Additional titles
- Subtitle
- An Analytical, Variational, and Hermitian Formulation of the Completed Zeta Field
- Translated title (Spanish)
- Estructura espectral de la Hipótesis de Riemann
- Subtitle (Spanish)
- Una formulación analítica, variacional y hermítica del campo zeta completado
Dates
- Created
-
2025-11-10
References
- Riemann, B. (1859). Über die Anzahl der Primzahlen unter einer gegebenen Größe. Monatsberichte der Berliner Akademie.
- Hardy, G. H. (1915). Note on Riemann's $\xi$-function. Proceedings of the London Mathematical Society, 14, 347–350.
- E. C. Titchmarsh, *The Theory of the Riemann Zeta-Function*, Oxford, 1986.
- Whittaker, E. T., & Watson, G. N. (1927). A Course of Modern Analysis. Cambridge University Press.
- Chandrasekharan, K. (1968). Introduction to Analytic Number Theory. Springer–Verlag.
- H. M. Edwards, *Riemann's Zeta Function*, Dover, 2001.
- A. Ivić, *The Riemann Zeta-Function: Theory and Applications*, Dover, 2003.
- Mugnai, D. (2009). A self-adjoint spectral operator associated with the Riemann zeta function. Journal of Physics A: Mathematical and Theoretical, 42(49), 495204. https://doi.org/10.1088/1751-8113/42/49/495204
- Hilbert, D. & Pólya, G. (early 20th century). Unpublished conjecture on the existence of a Hermitian operator whose eigenvalues correspond to the nontrivial zeros of the Riemann zeta function.
- Berry, M. V. & Keating, J. P. (1999). The Riemann Zeros and Eigenvalue Asymptotics. SIAM Review, 41(2), 236–266. https://doi.org/10.1137/S0036144598347497
- Connes, A. (1999). Trace formula in noncommutative geometry and the zeros of the Riemann zeta function. Selecta Mathematica, 5(1), 29–106. https://doi.org/10.1007/s000290050046