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Two classical lattice point problems

Published online by Cambridge University Press:  24 October 2008

K. S. Gangadharan  and
A. E. Ingham
K. S. Gangadharan
Affiliation:
Department of MathematicsUniversity of Ceylon
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Extract

Let r(n) be the number of representations of n as a sum of two squares, d(n) the number of divisors of n, and

where γ is Euler's constant. Then P(x) is the error term in the problem of the lattice points of the circle, and Δ(x) the error term in Dirichlet's divisor problem, or the problem of the lattice points of the rectangular hyperbola.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 4 , October 1961 , pp. 699 - 721
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

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