Family: Theorem-Grade
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THM-DIVERGENCE-005 — Pointwise Fourier divergence and the Fejér mean (du Bois-Reymond 1873; Fejér 1904)
Pointwise Fourier divergence and the Fejér mean (du Bois-Reymond 1873; Fejér 1904) 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-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-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-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-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-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-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-003 — The harmonic/Basel pair: rank decides divergence (Oresme ~1350; Euler 1734)
The harmonic/Basel pair: rank decides divergence (Oresme ~1350; Euler 1734) Read more
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THM-DIVERGENCE-004 — Stirling’s series: divergent in k, exact carrier (Binet, proven)
Stirling’s series: divergent in k, exact carrier (Binet, proven) Read more