#primedistributionrime_numbers — Public Fediverse posts on home.social

📢 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?

#primedistributionrime_numbers #preprint #riemannhypothesis #research #mathematics #maths

📢 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?

#primedistributionrime_numbers #preprint #riemannhypothesis #research #mathematics #maths

📢 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?

#primedistributionrime_numbers #preprint #riemannhypothesis #research #mathematics #maths

📢 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

📢 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?

#primedistributionrime_numbers #preprint #riemannhypothesis #research #mathematics #maths