Collatz and Riemann: source and evidence

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1 \begin{thebibliography}{99}
2 
3 \bibitem{DLMFZeta}
4 NIST Digital Library of Mathematical Functions.
5 \emph{Riemann zeta function: reflection formulas}, Section 25.4,
6 equations 25.4.3 and 25.4.4. Version 1.2.8, released 15 September 2026.
7 \url{https://dlmf.nist.gov/25.4}.
8 Accessed 8 October 2026.
9 
10 \bibitem{DLMFZeros}
11 NIST Digital Library of Mathematical Functions.
12 \emph{Riemann zeta function: zeros}, Section 25.10(i).
13 Version 1.2.8, released 15 September 2026.
14 \url{https://dlmf.nist.gov/25.10}.
15 Accessed 8 October 2026.
16 
17 \bibitem{DLMFDigamma}
18 NIST Digital Library of Mathematical Functions.
19 \emph{Gamma function: series expansions}, Section 5.7,
20 equation 5.7.6. Version 1.2.8, released 15 September 2026.
21 \url{https://dlmf.nist.gov/5.7.E6}.
22 Accessed 8 October 2026.
23 
24 \bibitem{BaezDuarte}
25 L. B\'aez Duarte.
26 \emph{A sequential Riesz-like criterion for the Riemann hypothesis}.
27 International Journal of Mathematics and Mathematical Sciences
28 \textbf{2005:21} (2005), 3527--3537.
29 \url{https://doi.org/10.1155/IJMMS.2005.3527}.
30 Theorem 1.1 and equation 3.6.
31 Open journal mirror:
32 \url{https://www.maths.tcd.ie/EMIS/journals/IJMMS/Volume2005_21/141565.pdf}.
33 
34 \bibitem{BondarenkoRadchenkoSeip}
35 A. Bondarenko, D. Radchenko, and K. Seip.
36 \emph{Fourier Interpolation with Zeros of Zeta and L-Functions}.
37 Constructive Approximation \textbf{57} (2023), 405--461.
38 Equation 1.1, the unconditional Guinand and Weil explicit formula,
39 and Section 2.4, equation 2.11, the zero counting asymptotic.
40 \url{https://doi.org/10.1007/s00365-022-09599-w}.
41 
42 \bibitem{KomorebiHeat}
43 Komorebi P.
44 \emph{Prime packet heat kernels and a two point criterion for the Riemann hypothesis}.
45 Saved TeX manuscript, 15 August 2026.
46 \texttt{Prime\_Packet\_RH\_Heat\_Kernel\_Core.tex}.
47 Analytic manuscript, recovered for this release.
48 
49 \bibitem{KomorebiHermite}
50 Komorebi P.
51 \emph{Stable Hermite compression construction}.
52 Saved research report, 12 September 2026.
53 \texttt{STABLE\_HERMITE\_COMPRESSION\_REPORT.md}.
54 Analytic formulas and finite numerical audits, recovered for this release.
55 
56 \bibitem{KomorebiGround}
57 Komorebi P.
58 \emph{Ground Hermite channel and preservation of the RH front}.
59 Saved analytic note, 12 September 2026.
60 \texttt{GROUND\_MODE\_FRONT\_IDENTITY.md}.
61 Manuscript derivation, recovered for this release.
62 
63 \bibitem{KomorebiFinalGap}
64 Komorebi P.
65 \emph{Komorebi RH final gap attack}, version 0.13.0.
66 Saved report, 12 September 2026.
67 \texttt{FINAL\_GAP\_ATTACK\_REPORT.md}.
68 Reports focused historical Lean verification and analytic conclusions.
69 
70 \bibitem{KomorebiBoundary}
71 Komorebi P.
72 \emph{Exact claim boundary}, version 0.13.0.
73 Saved scope report, 12 September 2026.
74 \texttt{CLAIM\_BOUNDARY(20260912-220305).md}.
75 
76 \bibitem{KomorebiParity}
77 Komorebi P.
78 \emph{Prime cube parity barrier}, version 0.14.0.
79 Saved research report, 13 September 2026.
80 \texttt{PRIME\_CUBE\_PARITY\_BARRIER\_REPORT.md}.
81 Original report preserved as evidence. This monograph supplies
82 the full majorant and squarefree support corrections in its barrier proof.
83 
84 \bibitem{KomorebiMaster}
85 Komorebi P.
86 \emph{Komorebi RH master archive}, version 0.14.1, count correction.
87 Saved archive scope record, 13 September 2026.
88 \texttt{Komorebi\_RH\_Master\_v0.14.1\_README\_START\_HERE.md}.
89 Historical source counts and checkpoint verification boundaries.
90 
91 \end{thebibliography}

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