Higher order divisor problems
Valentin Blomer
TL;DR
This paper establishes an asymptotic formula for the average of the k-fold divisor function over specific polynomial forms, advancing understanding of divisor problems in number theory.
Contribution
It introduces a new asymptotic formula for divisor functions over incomplete norm forms associated with homogeneous polynomials.
Findings
Proved an asymptotic formula for divisor function averages.
Extended divisor problem analysis to incomplete norm forms.
Enhanced methods for analyzing divisor functions in algebraic number theory.
Abstract
An asymptotic formula is proved for the k-fold divisor function averaged over homogeneous polynomials of degree k in k-1 variables coming from incomplete norm forms.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAnalytic Number Theory Research · Algebraic and Geometric Analysis · Algebraic Geometry and Number Theory