Teorema de Albino Demostración ampliada (II Parte)
Year: 2026
Type: article
Abstract: ABSTRACT (II)This paper rigorously proves the theorem proposed by Prof. Fernando Albino de la Trinidad Álvarez Ramírez regarding thenon-existence of solutions to the functional equation ζ(a+ti) = (A+iB)·10^(-m) with m > 10 and A ≠ B in the open interval (1/2, 7/8). An analytical framework of orthogonal phase invariance is introduced to decouple the equation from the divergent vertical shifts of V oronin's Universality Theorem. Utilizing the derivative of the Riemann-Siegel argument ϑ'(t) and logarithmic density boundary bounds, we prove conclusively that the solution set in the specified critical sub-strip is strictly the empty set (∅).Keywords: Riemann zeta function, V oronin's theorem, phase invariance, zero-free region, transcendental complexanalysis.
Institution: Ministerio de Educación Pública
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225632024
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