Jeremy Eli Laughery

The Euler Product Bifurcation Theorem: Intrinsic Multiplicative Field Horizons and the Overhaul of Continuous Transcendental Approximations for ζ(s)

Abstract: This research presents the mathematical architecture of the Euler Product Bifurcation Theorem (EPBT), demonstrating that the classical monolithic Euler product splits into two interlocking, asymmetrical field horizons governed by prime index parity: the Plus Horizon and...

The Euler Product Bifurcation Theorem: Intrinsic Multiplicative Field Horizons and the Overhaul of Continuous Transcendental Approximations for ζ(s)

Abstract: This research presents the mathematical architecture of the Euler Product Bifurcation Theorem (EPBT), demonstrating that the classical monolithic Euler product splits into two interlocking, asymmetrical field horizons governed by prime index parity: the Plus Horizon and...

The Euler Product Bifurcation Theorem: Intrinsic Multiplicative Field Horizons and the Overhaul of Continuous Transcendental Approximations for ζ(s)

Abstract: This research presents the mathematical architecture of the Euler Product Bifurcation Theorem (EPBT), demonstrating that the classical monolithic Euler product splits into two interlocking, asymmetrical field horizons governed by prime index parity: the Plus Horizon and...

The Euler Product Bifurcation Theorem: Intrinsic Multiplicative Field Horizons and the Overhaul of Continuous Transcendental Approximations for ζ(s)

Abstract: This research presents the mathematical architecture of the Euler Product Bifurcation Theorem (EPBT), demonstrating that the classical monolithic Euler product splits into two interlocking, asymmetrical field horizons governed by prime index parity: the Plus Horizon and...