Honesty State: Green — closed
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THM-DIVERGENCE-002 — The alternating harmonic series and Riemann’s rearrangement theorem (1854)
The alternating harmonic series and Riemann’s rearrangement theorem (1854) Read more
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THM-DIVERGENCE-006 — Euler 1737: Σ1/p diverges — the divergence IS the carrier
Euler 1737: Σ1/p diverges — the divergence IS the carrier Read more
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THM-DIVERGENCE-007 — The Dirichlet integral: magnitude lane diverges, phase lane closes at π/2 (proven)
The Dirichlet integral: magnitude lane diverges, phase lane closes at π/2 (proven) Read more
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THM-DIVERGENCE-008 — ζ(½) through the η lane: the divergent series carries −1.4603… (analytic continuation, proven)
ζ(½) through the η lane: the divergent series carries −1.4603… (analytic continuation, proven) Read more
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THM-DIVERGENCE-009 — The Cauchy principal value: antipodal pairing annihilates the double divergence (proven)
The Cauchy principal value: antipodal pairing annihilates the double divergence (proven) Read more
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THM-DIVERGENCE-010 — Tauber 1897: the proven license for back-projection
Tauber 1897: the proven license for back-projection Read more
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THM-DIVERGENCE-011 — Euler 1749: 1−2+3−4+… = ¼
Euler 1749: 1−2+3−4+… = ¼ Read more
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THM-DIVERGENCE-012 — Lévy–Steinitz: the rearrangement set is an affine subspace
Lévy–Steinitz: the rearrangement set is an affine subspace Read more
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THM-DIVERGENCE-013 — The ζ pole as a rank-1 object: (s−1)ζ(s) → 1
The ζ pole as a rank-1 object: (s−1)ζ(s) → 1 Read more
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THM-DIVERGENCE-014 — Euler–Mascheroni: H_n − ln n → γ
Euler–Mascheroni: H_n − ln n → γ Read more