Published November 10, 2025 | Version version 1
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Spectral Structure of the Riemann Hypothesis

  • 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 Unpublished conjecture on the existence of a Hermitian operator whose eigenvalues correspond to the nontrivial zeros of the Riemann zeta function.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