Square-free integers as ideal norms

Authors
Kanemitsu, Shigeru Laurincikas, Antanas Ma, Jing
Citation
Kanemitsu, Shigeru et al., Square-free integers as ideal norms, Acta mathematica Sinica. English series (Print) , 26(4), 2010, pp. 621-628
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
4
Year of publication
2010
Pages
621 - 628
Database
ACNP
SICI code
Abstract
Elaborating on Krätzel.s result, Zhai obtained a sharp short interval result for the number of ways of expressing a square-free integer as sums of two squares. In this note we view Zhai.s decomposition as one by degree 1 prime ideals in the Gaussian field and extend Zhai.s approach to a wider range of quadratic fields etc.