Title: Weighted Erdős–Kac Type Theorems Over Gaussian Field In Short Intervals.
Authors: Liu, X.-L.; Yang, Z.-S.
Abstract: Assume that K is Gaussian field, and a K (n) is the number of non-zero integral ideals in Z [ i ] with norm n . We establish an Erdős–Kac type theorem weighted by a K (n 2) l (l ∈ Z ) in short intervals. We also establish an asymptotic formula for the average behavior of a K (n 2) l in short intervals.
Subjects: RANDOM fields; BEHAVIOR
Publication: Acta Mathematica Hungarica, 2020, Vol 162, Issue 2, p465
ISSN: 0236-5294
Publication type: Academic Journal
DOI: 10.1007/s10474-020-01087-6

Weighted Erdős–Kac Type Theorems Over Gaussian Field In Short Intervals.

Liu, X.-L.; Yang, Z.-S.