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On two classical lattice point problems

Published online by Cambridge University Press:  24 October 2008

A. E. Ingham
A. E. Ingham
Affiliation:
King's CollegeCambridge
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Extract

1. 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. Thus P(x) is the error term in the problem of the lattice points of a circle, and Δ(x) the error term in Dirichlet's divisor problem, or the problem of the lattice points of a rectangular hyperbola.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 36 , Issue 2 , April 1940 , pp. 131 - 138
Copyright
Copyright © Cambridge Philosophical Society 1940

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References

REFERENCES

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