MSC2020 · 11Kxx

Probabilistic theory: distribution modulo $1$ ; metric theory of algorithms

4 mapped entries · Browse and filter all →

Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Subcategories

11K06General theory of distribution modulo

1

0 11K16Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.0 11K31Special sequences0 11K36Well-distributed sequences and other variations0 11K38Irregularities of distribution, discrepancy3 11K41Continuous,

p

-adic and abstract analogues0 11K45Pseudo-random numbers; Monte Carlo methods0 11K50Metric theory of continued fractions1 11K55Metric theory of other algorithms and expansions; measure and Hausdorff dimension0 11K60Diophantine approximation in probabilistic number theory0 11K65Arithmetic functions in probabilistic number theory0 11K70Harmonic analysis and almost periodicity in probabilistic number theory0 11K99Probabilistic theory: distribution modulo

1

; metric theory of algorithms0

Mapped problems

OP-12140Number theoryStatus unassessed

Erdős discrepancy problem (AlphaEvolve problem 40)

Erdős discrepancy problem (AlphaEvolve problem 40). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.

AlphaEvolve Repository of Problems — Georgiev, Gómez-Serrano, Tao & Wagner· Licensed source statement· 2025

OP-12098Number theorySolved

Wirsing Constant ( $C_{83}$ )

Wirsing Constant: determine C 83 or improve its bounds; the repository records 0.30366300 (lower) and 0.30366300 (upper).

Optimization Constants in Mathematics — Davis, Ivanisvili & Tao· Licensed source statement· 2026

OP-12032CombinatoricsOpen

Komlós discrepancy constant ( $C_{24}$ )

Komlós discrepancy constant: determine C 24 or improve its bounds; the repository records 1+ sqrt 2 (lower) and infty (upper).

Optimization Constants in Mathematics — Davis, Ivanisvili & Tao· Licensed source statement· 2026

OP-12010CombinatoricsOpen

Spencer discrepancy constant (“six standard deviations suffice”) ( $C_{10c}$ )

Spencer discrepancy constant (“six standard deviations suffice”): determine C 10c or improve its bounds; the repository records 1.767767 (lower) and 4.1 (3.65 ) (upper).

Optimization Constants in Mathematics — Davis, Ivanisvili & Tao· Licensed source statement· 2026