Square-Free Integers as Ideal Norms
Elaborating on Katzel＇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 decom- position as one by degree 1 prime ideals in the Gaussian field and extend Zhai＇s approach to a wider range...
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2010-04, Vol.26 (4), p.621-628 |
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| container_title | Acta mathematica Sinica. English series |
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| creator | Kanemitsu, Shigeru Laurinčikas, Antanas Ma, Jing |
| description | Elaborating on Katzel＇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 decom- position as one by degree 1 prime ideals in the Gaussian field and extend Zhai＇s approach to a wider range of quadratic fields etc. |
| doi_str_mv | 10.1007/s10114-010-8450-7 |
| format | Article |
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| ispartof | Acta mathematica Sinica. English series, 2010-04, Vol.26 (4), p.621-628 |
| issn | 1439-8516 1439-7617 |
| language | eng |
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| source | SpringerLink Journals; Alma/SFX Local Collection |
| subjects | Approximation Conformity Decomposition Mathematical analysis Mathematical functions Mathematics Mathematics and Statistics Normal distribution Norms Studies 二次域 平方和 素理想 |
| title | Square-Free Integers as Ideal Norms |
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