Twists of Hooley's $\Delta$-function over number fields
E. Sofos
TL;DR
This paper establishes precise bounds for the average behavior of a twisted version of Hooley's Δ-function across various number fields, advancing understanding of its distribution.
Contribution
It provides the first tight estimates for the averages of the twisted Hooley Δ-function over arbitrary number fields, extending previous results beyond the rational case.
Findings
Derived tight bounds for the twisted Δ-function averages
Extended analysis to arbitrary number fields
Enhanced understanding of the distribution of the Δ-function
Abstract
We prove tight estimates for averages of the twisted Hooley -function over arbitrary number fields.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Algebraic Geometry and Number Theory