📢 NEW WORK: "Origin of the constant B ≈ 0.486 in the distribution of prime numbers"

I study the Gaussian decay of a prime-related sum: S(s) ~ e^{-Bs²}. The constant B ≈ 0.486 emerges from three perspectives:

🔹 Arithmetic: B ≈ Σ 1/π(eⁿ) − 1
🔹 Spectral (under RH): B linked to zeros of ζ(s)
🔹 Geometric: the base e is optimal

📄 Full paper: [PDF_LINK]
👤 My other work: [ACADEMIA_LINK]

Open question: Which approach seems most enlightening to you?

#NumberTheory #PrimeNumbers #ZetaFunction #Maths #Mathematics #Research #RiemannHypothesis #Preprint #PrimeDistributionrime_numbers