Demostración Rigurosa del Teorema de Albino sobre la inexistencia de soluciones en la franja 1/2< Re(s)<7/8 y evasión del teorema de Universalidad de Voronin
Year: 2026
Type: article
Abstract: ABSTRACTThis paper rigorously proves the theorem proposed by Prof. Fernando Albino de la Trinidad ÁlvarezRamírez regarding the non-existence of solutions to the functional equation ζ(a + ti) = (A + iB) · 10^−mwith m > 10 and A ≠ B in the open interval (½, ⅞). An analytical framework of orthogonal phaseinvariance is introduced to decouple the equation from the divergent shifts of Voronin's UniversalityTheorem, utilizing the derivative of the Riemann-Siegel argument ϑ'(t) to demonstrate that the solutionset is strictly the empty set (∅).Keywords: Riemann zeta function, Voronin's theorem, phase invariance, zero-free region, complex analysis.
Institution: Ministerio de Educación Pública
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224773421