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The avarage order of Gaussian sums

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Abstract

1. Let G be a commutative semigroup with identity e on which a non-negative function |·|: GR, called a norm, is defined such that |ab|≦ |a| |b| for all a,bG and such that for every real x the number N(x) of elements a of G with |a|≦x, is finite.

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References

  1. Davenport, H., Multiplicative Number Theory, Lectures in advanced mathematics, vol. 1, Chicago, 1967.

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Paul Erdős László Alpár Gábor Halász András Sárközy

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© 1983 Springer Basel AG

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Jager, H. (1983). The avarage order of Gaussian sums. In: Erdős, P., Alpár, L., Halász, G., Sárközy, A. (eds) Studies in Pure Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5438-2_32

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  • DOI: https://doi.org/10.1007/978-3-0348-5438-2_32

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1288-6

  • Online ISBN: 978-3-0348-5438-2

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