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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 21
  3. Acta Mathematica Sinica, English Series : Volume 21, Issue 4, August 2005
  4. Sums of Five Almost Equal Prime Squares
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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 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 21, Issue 6, December 2005
Acta Mathematica Sinica, English Series : Volume 21, Issue 5, October 2005
Acta Mathematica Sinica, English Series : Volume 21, Issue 4, August 2005
The Galois Correspondence in Field Algebra of G–spin Model
Additive Maps on Matrix Algebras Preserving Invertibility or Singularity
Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems
Existence, Multiplicity and Infinite Solvability of Positive Solutions for One–Dimensional p–Laplacian
Maluta’s Coefficient of Musielak–Orlicz Sequence Spaces
Regularity of Weak Solutions of Nonlinear Equations with Discontinuous Coefficients
Curve Shortening Flow in Arbitrary Dimensional Euclidian Space
Compactness of Product Operators on the Bergman Space
The 3D Inverse Problem of the Wave Equation for a General Multi-connected Vibrating Membrane with a Finite Number of Piecewise Smooth Boundary Conditions
On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients
The $$ {\left( {L^{p} ,\dot{F}^{{\beta ,\infty }}_{p} } \right)} $$ –Boundedness of Commutators of Multipliers
Regular Balanced Cayley Maps for Cyclic, Dihedral and Generalized Quaternion Groups
A Useful Extension of Itô’s Formula with Applications to Optimal Stopping
Analytic Characterization for Hilbert–Schmidt Operators on Fock Space
On Two Theorems of Finite Solvable Groups
A Note on Hermite and Subelliptic Operators
Relatively Compact Sets on Abstract Wiener Space
Generalized Differential Identities of (Semi–)Prime Rings
Sums of Five Almost Equal Prime Squares
Canonical Foliations of Certain Classes of Almost Contact Metric Structures
Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition
Characterization of Compact Support of Fourier Transform for Orthonormal Wavelets of L 2(R d)
Some Representations of Unified Voigt Functions
Fredholm Composition Operators on Riemann Surfaces
Topological Structure of Non–wandering Set of a Graph Map
Local and Global Existence of Solutions to Initial Value Problems of Nonlinear Kaup–Kupershmidt Equations
Ideals in Morita Rings and Morita Semigroups
The Characterization of Finite Simple Groups, L 3(32m–1)(m ≥ 2), by Their Element Orders
Normality of Tetravalent Cayley Graphs of Odd Prime–cube Order and Its Application
Isomorphic Commutative Group Algebras of p-Mixed Warfield Groups
On the Uniqueness of the ADS Spacetime
Global Existence and Blow–up of Solutions for Parabolic Systems Involving Cross–Diffusions and Nonlinear Boundary Conditions
On the Countable Tightness of Product Spaces
Weak Poincaré Inequalities, Decay of Markov Semigroups and Concentration of Measures
A Conjecture Concerning the Pure Exponential Diophantine Equation a x + b y = c z
Decompositions of the Hardy space ℋ1 z (Ω)
Bounds for the Least Laplacian Eigenvalue of a Signed Graph
Acta Mathematica Sinica, English Series : Volume 21, Issue 3, June 2005
Acta Mathematica Sinica, English Series : Volume 21, Issue 2, April 2005
Acta Mathematica Sinica, English Series : Volume 21, Issue 1, February 2005
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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Sums of Five Almost Equal Prime Squares

Content Provider SpringerLink
Author Bauer, Claus
Copyright Year 2005
Abstract Let P i , 1 ≤ i ≤ 5, be prime numbers. It is proved that every integer N that satisfies N ≡ 5(mod24) can be written as $$ N = p^{2}_{1} + p^{2}_{2} + p^{2}_{3} + p^{2}_{4} + p^{2}_{5} ,{\text{where}}{\left| {{\sqrt N }5 - p_{i} } \right|} \leqslant N^{{\frac{1} {2} - \frac{{19}} {{850}} + \in }} $$ .
Ending Page 840
Page Count 8
Starting Page 833
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 4
Volume Number 21
Language English
Publisher Springer-Verlag
Publisher Date 2005-06-19
Publisher Place Berlin/Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Goldbach-type theorems; other additive questions involving primes Prime numbers L –functions Estimates on exponential sums Mathematics Exponential sums
Content Type Text
Resource Type Article
Subject Applied Mathematics
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