A Continuous Spectral Framework for Elliptic Curves via the Moroz Transform An Initial Proposal
Year: 2026
Type: article
Abstract: This work introduces a continuous oscillatory integral associated with elliptic curves, termed the Moroz Transform, and investigates its structural relationship with classical arithmetic invariants such as the Frobenius trace and the Sato-Tate distribution.While the trans-form does not directly reproduce the coefficients a p of the L-function, it generates two natural invariants -amplitude and phasewhich encode geometric and spectral information.Through numerical ex-amples, this paper shows that the phase exhibits a distribution com-parable to the Sato-Tate angle, suggesting that the Moroz Transform captures a continuous analogue of Frobenius spectral data.
Source: Journal of Engineering Research
Author: Rodolfo Carneiro Moroz
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7164751470
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