On the number of integral ideals in a number field
Ethan Simpson Lee
TL;DR
This paper refines an existing explicit estimate for counting integral ideals within a number field, providing more accurate bounds for the ideal-counting function.
Contribution
It updates Sunley's explicit estimate for the ideal-counting function, improving the accuracy of counting integral ideals of bounded norm in a number field.
Findings
Refined explicit estimate for the ideal-counting function
Improved bounds for the number of integral ideals
Enhanced understanding of ideal distribution in number fields
Abstract
We update Sunley's explicit estimate for the ideal-counting function, which is the number of integral ideals of bounded norm in a number field.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Algebraic Geometry and Number Theory