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Integer Points in Plane Regions and Exponential Sums

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Number Theory

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Abstract

How many integer points (m,n) lie inside a large circle, or in the annulus between two circles? There are approaches by real-variable approximation theory, or by Fourier analysis. The same ideas occur in both, and the latest results use both methods at different stages of the argument.

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© 2000 Hindustan Book Agency (India) and Indian National Science Academy

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Huxley, M.N. (2000). Integer Points in Plane Regions and Exponential Sums. In: Bambah, R.P., Dumir, V.C., Hans-Gill, R.J. (eds) Number Theory. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7023-8_9

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  • DOI: https://doi.org/10.1007/978-3-0348-7023-8_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7025-2

  • Online ISBN: 978-3-0348-7023-8

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