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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 26
  3. Acta Mathematica Sinica, English Series : Volume 26, Issue 4, April 2010
  4. Square-free integers as ideal norms
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 26, Issue 12, December 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 11, November 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 10, October 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 9, September 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 8, August 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 7, July 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 6, June 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 5, May 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 4, April 2010
Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals
Square-free integers as ideal norms
Pseudo-C-rpp semigroups
Panconnectivity for interconnection networks with faulty elements
Sharp L 2 boundedness of the oscillatory hyper-Hilbert transform along curves
The BMOL space and Riesz transforms associated with Schrödinger operators
Lower bound for quantum integration error on anisotropic Sobolev classes
Complete moment convergence for sequence of identically distributed φ-mixing random variables
The support of a refinable vector satisfying an inhomogeneous refinement equation
Hamiltonicity of 4-connected graphs
Dimensions of weighted Besicovitch sets
On rough Marcinkiewicz integrals along surfaces
The Hausdorff dimension of sets related to the general Sierpinski carpets
Convergence theorems for λ-strict pseudo-contractions in q-uniformly smooth Banach spaces
On pseudo-holomorphic curves from two-spheres into a complex Grassmannian G(2, 5)
Bootstrap approximation of wavelet estimates in a semiparametric regression model
Bifurcations of limit cycles in a Z 4-equivariant quintic planar vector field
Acta Mathematica Sinica, English Series : Volume 26, Issue 3, March 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 2, February 2010
Acta Mathematica Sinica, English Series : Volume 26, Issue 1, January 2010
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Square-free integers as ideal norms

Content Provider SpringerLink
Author Laurinčikas, Antanas Ma, Jing Kanemitsu, Shigeru
Copyright Year 2010
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.
Ending Page 628
Page Count 8
Starting Page 621
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 4
Volume Number 26
Language English
Publisher Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date 2010-02-15
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword square-free integer Other Dirichlet series and zeta functions Class numbers, class groups, discriminants ideal norm Arithmetic functions; related numbers; inversion formulas Mathematics quadratic field
Content Type Text
Resource Type Article
Subject Applied Mathematics
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