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Mean value of Kloosterman sums over short intervals

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Abstract

This paper is concerned with a kind of mean value problem of Kloosterman sums, which will lead to a sum of Kloosterman sums over short intervals.

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References

  1. Kloosterman, H. D., On the representation of numbers in the form ax 2 +by 2 +cz 2+dt 2, Acta. Math., 49, 1926, 407–464.

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  2. Salié, H., Über die Kloostermanschen summen S(u, v; q), Math. Z., 34, 1931, 91–109.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China

    Yaming Lu

Authors
  1. Yaming Lu
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Corresponding author

Correspondence to Yaming Lu.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 11201363, 11171265).

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Lu, Y. Mean value of Kloosterman sums over short intervals. Chin. Ann. Math. Ser. B 37, 743–752 (2016). https://doi.org/10.1007/s11401-016-1003-3

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  • DOI: https://doi.org/10.1007/s11401-016-1003-3

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