Generalized divisor problem associated with the number of integral ideals
Abstract
In this article, we study the power moments of the function τ k , K ( n ) , which counts the number of representations of n as a product of norms of k ideals in the ring of integers of a non-normal cubic field K . Additionally, we analyze the statistical properties of τ k , K ( n ) , including its mean and variance. Furthermore, we establish asymptotic formulae for cases where n is represented by a fixed mixed form with positive integral coefficients.
Fields of Study & Subjects
Analytic Number Theory Research
Rings
Modules
and Algebras
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Journal of Complexity
- Publisher
- Elsevier BV
- Volume
- 95
- Pages
- 102033–102033
- Publication date
- 5 March 2026
- Language
- EN