Prior Art — Number Theory and Analysis
Prior-art cluster pa000006 — Number Theory and Analysis: 12 representative references and 4 structural-challenge edges curated from the central bibliography.
Cluster ID: pa000006 · 89 bibliography entries in domain
Number Theory and Analysis
The analytic-number-theory and elliptic-curves literature engaged by Book III's spectral and L-function machinery: Silverman on elliptic curves, Bump and Diamond–Shurman on automorphic forms and modular forms, Iwaniec– Kowalski on analytic methods, Edwards and Titchmarsh on the Riemann zeta function, and the BCDT modularity literature. The Book III custom axiom `grand_grh_adelic` is explicitly conditional on this body of work (compute-then-axiomatize pattern; see /verify/custom-axioms/). Reviewers auditing the program's GRH-adjacent claims and the Master Schema bridge should start with Bump, Iwaniec–Kowalski, and the canonical RH literature cited in Book III.
Representative references
Curated subset (12 of 89 domain entries) — the most-cited and canonical works in this cluster. The full set is enumerable via the Bibliography browse surface.
Where this cluster bears on the program
Construction-spine steps the cluster's prior art most directly engages.
Related structural challenges
Structural Challenge Ledger items where this cluster's prior art is part of the obligation surface. Each link goes to the canonical SCL item; from there, the paired Challenge Response on the Results lane shows the program's current τ response.
SCL items resolve via the Structural Challenge Ledger; the corresponding Challenge Responses live on the Results-side projection.
For fuller editorial comparisons
The cluster surface here is the machine-readable backbone. For narrative comparisons against specific approach families — shared pressure, distinguishing claim, remaining burden — see the Deep Comparison briefing, which carries the editorial work and will continue to expand as more comparisons are authored.
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