CITATION.cff

cff-version: 1.2.0
message: "If you use this software or its results, please cite it as below."
title: "PrimeSpec: Spectral Decomposition of Wheel-Corrected Prime Residuals"
type: software
authors:
  - family-names: Naughton
    given-names: Brian
version: 0.1.0
date-released: 2026-06-11
license: MIT
abstract: >-
  An open computational instrument for testing spectral structure in
  corrected prime fields. At N = 1e7 and out of sample at N = 1e8, the
  experiments recover a rational comb generated by primes omitted from a
  finite correction wheel (Vinogradov/Ramanujan amplitudes, phase-matched)
  and the known zeta-zero spectrum in logarithmic frequency. No unexplained
  residual survived the prospectively specified confirmatory tests. Code,
  frozen protocols, amendments, numerical outputs and failed expectations
  are published for independent reproduction and extension.
keywords:
  - prime numbers
  - exponential sums
  - circle method
  - Riemann zeta function
  - computational number theory
  - Ulam spiral