OpenAI Math·Subject
Number theory
31 of the 372 results in OpenAI's maths catalogue are in number theory. Each page quotes OpenAI's own summary, links the preprints and embeds the animation once it is released. 8 of them have a video so far.
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Videos in Number theory
0:21Goldfeld's Conjecture: Half Rank 0, Half Rank 1
0:20Restricted Geometric Langlands: OpenAI Claims Characteristic p
0:22Prime Factors of p−1: OpenAI Claims the Poisson–Dirichlet Law
0:20Milne's Rationality Conjecture: OpenAI Claims a Proof
0:22Hilbert's Tenth Problem Over the Rationals: OpenAI Says It's Unsolvable
0:23Birch and Swinnerton-Dyer Conjecture (BSD): OpenAI Claims Full Formula, Rank 0 and 1
0:12Quasi-Riemann Hypothesis: The 7/8 Bound
0:12Catalan's Constant: Reported Irrationality Proof
All 31 results
- 001Milne’s rationality conjecture and algebraic specializationVideo
- 002The full BSD formula from low Selmer corankVideo
- 003The quasi-Riemann hypothesisVideoLean
- 004Hilbert’s tenth problem over ℚVideo
- 005Irrationality of Catalan’s constantVideoLean
- 006Goldfeld’s conjecture: densities and mean analytic rankVideo
- 007Ordinary two-point correlations and the corrected Elliott conjectureLean
- 008The Deligne–Drinfeld conjectureLean
- 009Function-field reconstruction from Milnor K-theory and Galois dataLean
- 010Unrestricted pro-modularity at the prime two
- 011Prime-factor statistics of p-1Video
- 012Independent largest prime factors of consecutive integersLean
- 013Ostmann’s inverse Goldbach conjectureLean
- 014Restricted geometric Langlands, global Arthur enhancements, and generic RamanujanVideo
- 015Torus-packet equidistribution in prime, quartic, and sextic degreesLean
- 016Zilber–Pink in abelian varieties and the Siegel threefold
- 017The irrationality exponent of π is 2Lean
- 018The Margulis–Platonov conjecture over global fields
- 019The local p-adic section conjecture and global consequences
- 020Squarefree quartics and power-free polynomial valuesLean
- 021A quadratic bound for Jacobsthal’s functionLean
- 022The weak inhomogeneous Duffin–Schaeffer conjecture
- 023Patterson's first moment for cubic Gauss sumsLean
- 024An asymptotic formula for the number of totientsLean
- 025Short Egyptian fractionsLean
- 026Positive lower density of large prime gapsLean
- 027Potential integral density on curve character varietiesLean
- 028Uniformly bounded components of Gaussian-prime graphsLean
- 029Primitive roots for every admissible integer base
- 030Modularity of elliptic curves over imaginary quadratic fields
- 031Uchida’s conjecture for open homomorphisms of Galois groups
Other subjects
- Theoretical computer science 40
- Combinatorics 37
- Algebraic and complex geometry 36
- Differential geometry 29
- Probability and statistical mechanics 29
- Mathematical physics 25
- Operator algebras 19
- Algebra 18
- Topology 18
- Partial differential equations 16
- Real and complex analysis 16
- Convex and metric geometry 15
- Group theory 14
- Dynamical systems and ergodic theory 12
- Functional analysis 11
- Mathematical logic 6