Prime-Factorization Potentials Construction, Boundedness, and Spectral Analysis - Universal Tool for Multiplicative Number Theory
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| Natura: | Recurso digital |
| Lingua: | inglese |
| Pubblicazione: |
Zenodo
2026
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| _version_ | 1866901243966783488 |
|---|---|
| author | Maréchal, Thierry |
| author_facet | Maréchal, Thierry |
| contents | <p>Theory of prime-factorization potentials encoding multiplicative structure of integers into bounded fractal functions on ℝᵈ. Proves boundedness, establishes complete variational derivation of scaling properties, analyzes spectral signature of gcd structure through resonance phenomena. Self-contained, applicable to any problem involving prime factorizations: abc conjecture, Catalan-type equations, general multiplicative constraints.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19221741 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Prime-Factorization Potentials Construction, Boundedness, and Spectral Analysis - Universal Tool for Multiplicative Number Theory Maréchal, Thierry prime factorization multiplicative structure fractal potential gcd resonance abc conjecture Catalan equation spectral encoding bounded potential <p>Theory of prime-factorization potentials encoding multiplicative structure of integers into bounded fractal functions on ℝᵈ. Proves boundedness, establishes complete variational derivation of scaling properties, analyzes spectral signature of gcd structure through resonance phenomena. Self-contained, applicable to any problem involving prime factorizations: abc conjecture, Catalan-type equations, general multiplicative constraints.</p> |
| title | Prime-Factorization Potentials Construction, Boundedness, and Spectral Analysis - Universal Tool for Multiplicative Number Theory |
| topic | prime factorization multiplicative structure fractal potential gcd resonance abc conjecture Catalan equation spectral encoding bounded potential |
| url | https://doi.org/10.5281/zenodo.19221741 |