For arithmetic sequences with level of distribution 1, large prime factors of a random element tend to a Poisson-Dirichlet process; with positive level, correlations match against restricted test functions, and the probability the largest prime factor exceeds u to the 1-epsilon is O(epsilon).
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Large prime factors of well-distributed sequences
For arithmetic sequences with level of distribution 1, large prime factors of a random element tend to a Poisson-Dirichlet process; with positive level, correlations match against restricted test functions, and the probability the largest prime factor exceeds u to the 1-epsilon is O(epsilon).