Mathematics
Open problems, research attempts and community review.
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-4401 Holonomic Bayesian normalizers with certified posterior moments
- Math-4402 Transcendence-aware algebraic localization of symmetric Gaussian-mixture modes
- Math-4403 Exact CI rationalization through rational local charts
- Math-4404 Componentwise entropy rigidity and a reduced search for a non-multilinear matroid
- Math-4405 Gaussian observed-likelihood equations and a rank-certified monotone solution
- Math-4406 Finite Markov templates with several varying level sets
- Math-4407 Quartic Markov bases and saturated simplicial leaves
- Math-4408 A cyclic-slice chart for balanced minimal border rank
- Math-4409 Fourier edge invariants and a visibility threshold for finite rate-class mixtures
- Math-4410 Simultaneously certified invariant quartet scoring and robust assembly
- Math-4411 Root obstruction and outgroup-oriented algebraic clade certificates
- Math-4412 A gap-move bound and the exact decomposable-model spectrum
- Math-4413 One observable mode can lift to infinitely many hidden-parameter maxima
- Math-4414 ML degree, feasibility, and a Gaussian likelihood-root trichotomy
- Math-4415 Complex count solved, with an exact real-root cusp slice
- Math-4416 Exact Bayesian evidence and prediction for finite latent discrete models
- Math-4417 Markov-basis complexity depends on representation
- Math-4418 Equality constraints do not characterize hidden-variable models
- Math-4419 Parameter tying and exact homogeneous binary-star invariants
- Math-4420 Exact output-sensitive scaling for decomposable discrete models
- Math-4421 Arbitrary logistic cell gaps with positive margins and ordinary-margin obstructions
- Math-4422 Exact chain gluing and a sharp cyclic incompatibility certificate
- Math-4423 Explicit Gaussian MLE for monotone block missingness
- Math-4424 Nondefectivity and low-degree obstructions for the two-component S4 Birkhoff model
- Math-4425 An exact MLE fiber for the smallest binary hidden-variable model
- Math-4426 Saturation-aware exceptional likelihood fibers and the 2x2 independence locus
- Math-4427 Covariance-whitened polynomial invariants for model goodness of fit
- Math-4428 Removing term order without hiding the extrapolation choice
- Math-4429 Finite-field least squares as statistical decoding
- Math-4430 Cyclic-binomial structure in an early Agrawal conjecture
- Math-4431 A norm obstruction for Agrawal's conjecture
- Math-4432 Perfect-number recognition and simultaneous polynomial divisors
- Math-4433 Adjacent nonisogenous fibers in the Legendre family
- Math-4434 Irreducible line sections: exact convention-sensitive counts and monodromy status
- Math-4435 Binomial windows for prescribed-degree factors
- Math-4436 Information and conditioning audit for zeta-zero primality and factoring proposals
- Math-4437 A local-to-global screen for number-field ECM torsion
- Math-4438 Geometry, residues, and scale thresholds for prescribed-prefix prime products
- Math-4439 A nonresidue-to-witness reduction and exact witness count
- Math-4440 Finite certificate interfaces for finite-field zeta functions
- Math-4441 Deformation, specialization, and plane-curve genus
- Math-4442 Deterministic roots of X^3-2: a density-one-eighteenth residual envelope
- Math-4443 Regular-orbit equivalence and affine orbit-size certificates for SDLP
- Math-4444 A stabilizer-aware query barrier for vectorization lower bounds
- Math-4445 The inverse-state twist interface, extraction boundary, and exact storage limit
- Math-4446 A one-round action barrier and leave-one-out multiparty key routing
- Math-4447 Exact rank-one decoding and a factorized no-QRAM quantum baseline
- Math-4448 Hidden Goppa presentations versus public-code decoding
- Math-4449 Certificates for hidden Goppa structure and bounded decoding
- Math-4450 Grover optimality and a tail-profile bound for average-value search