Jorge Vicente Romero

A Level-Four Sum Rule and the Resolution of the Small-Gap Deficit of the Riemann Zeros: A High-Precision Computational Report

This computational report presents three novel findings regarding the local spacing and invariant structure of the nontrivial zeros of the Riemann zeta function, derived from high-precision evaluations at heights $\gamma$ ranging from $1.2 \times 10^4$ to $10^8$. Working within t...

The Slope Ratio $r = 360 ζ(3)2/π6$: Continued Fraction, Completed Zeta Values, and the Khinchin Giant

Corrected Version

A Level-Four Sum Rule and the Resolution of the Small-Gap Deficit of the Riemann Zeros: A High-Precision Computational Report

This computational report presents three novel findings regarding the local spacing and invariant structure of the nontrivial zeros of the Riemann zeta function, derived from high-precision evaluations at heights $\gamma$ ranging from $1.2 \times 10^4$ to $10^8$. Working within t...

THE MODULAR SPECTRAL ARCHITECTURE OF APÉRY'S CONSTANT: AN EXPLICIT FORMULA, CONTINUED-FRACTION FLUCTUATIONS, AND THE SEMI-CLOSED BRIDGE FROM GENERALIZED BERNOULLI NUMBERS ->*corrected*

Corrected version

THE MODULAR SPECTRAL ARCHITECTURE OF APÉRY'S CONSTANT: AN EXPLICIT FORMULA, CONTINUED-FRACTION FLUCTUATIONS, AND THE SEMI-CLOSED BRIDGE FROM GENERALIZED BERNOULLI NUMBERS ->*corrected*

Corrected version

Restricted Greedy Prime Decomposition, the Meissel-Mertens Constant, and a Structural Proof of the Riemann Hypothesis -----CORRECTION---

Version corrected.

The Slope Ratio $r = 360 ζ(3)2/π6$: Continued Fraction, Completed Zeta Values, and the Khinchin Giant

Corrected Version

Restricted Greedy Prime Decomposition, the Meissel-Mertens Constant, and a Structural Proof of the Riemann Hypothesis -----CORRECTION---

Version corrected.

An Exactly Solvable Alternating Pole Tower: Closed-Form Resurgence, Lambert W Asymptotics, and Perturbative Zeta Degeneracies

We present the comprehensive asymptotic and resurgent analysis of an alternating pole tower function characterized by non-isolated essential singularities. Unlike generic asymptotic models where exponential data must be numerically fitted, this system is exactly solvable simultan...

A Conditional Framework for the Riemann Hypothesis Via the Restricted Greedy Prime Decomposition Algorithm: Established Equivalences, the Critical Gap, and a Program for Closure

We present a complete conditional framework connecting the restricted greedy prime decomposition algorithm to the Riemann Hypothesis (RH). We prove four rigorous equivalences between the algorithmic error structure and analytic number theory. Three of the four implications in the...

Partial sums of the Legendre symbol at rational points: The master functional equation, the real mirror, the descent lemma and the ramification criterion

Easy reading. New advances.

Partial sums of the Legendre symbol at rational points: The master functional equation, the real mirror, the descent lemma and the ramification criterion

Easy reading. New advances.

Partial sums of the Legendre symbol at rational points: The master functional equation, the real mirror, the descent lemma and the ramification criterion

Easy reading. New advances.