OpenAI Math Digest
Comics
AI-GENERATED GUIDE

This guide may contain errors or inaccurate explanations. Check important claims and proofs against the original papers.

FIELD GUIDE

Number theory

Number theory

Official catalogue 001–031.

Open the official catalogue · p. 2 ↗

Catalogues in this field

Official catalogue numbers
003

The quasi-Riemann hypothesis

Official catalogue 003 contains two manuscripts claiming zero-free half-planes of fixed width and one treating logarithmic gaps for real zeros through interpolation determinants. The guide distinguishes character families, the strength of the boundaries, and proof inputs.

All 3 overviews available

The catalogue synthesis connects the results, proof strategies, and theorems used across these manuscripts.

Explore the synthesis and connections
Proof overviews (3)Official catalogue order
  1. The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane Re s > 7/8
  2. The Quasi-Riemann Hypothesis
  3. Uniform exclusion of Landau–Siegel zeros
004

Hilbert’s tenth problem over ℚ

Catalogue 004 contains a manuscript on undecidability of rational solvability and a pointwise 2-converse for elliptic curves used to construct its local conditions.

All 2 overviews available

The catalogue synthesis connects the results, proof strategies, and theorems used across these manuscripts.

Explore the synthesis and connections
Proof overviews (2)Official catalogue order
  1. Hilbert’s tenth problem over the rational numbers
  2. A pointwise 2-converse for elliptic curves with rational two-torsion

Enlarged figure

Scroll to move around the figure. Underlined citations remain clickable.