Corrigendum to the paper 'On the ideal theorem for number fields` [Funct. Approximatio, Comment. Math. 53, No. 1, 31--45 (2015)]

TL;DR

This paper corrects a previous mathematical result on number fields by providing a revised estimate for a weighted sum with a better error term, clarifying the accuracy of earlier conclusions.

Contribution

It offers a corrected proof and an improved estimate for a key sum related to the ideal theorem in number fields, rectifying prior inaccuracies.

Findings

Main result of the original paper is untrue

Provides a new estimate with an improved error term

Clarifies the validity of the ideal theorem in number fields

Abstract

This paper is a corrigendum to the article 'On the ideal theorem for number fields`. The main result of this paper proves to be untrue and is replaced by an estimate of a weighted sum with an improved error term.