Functiones et Approximatio Commentarii Mathematici

On van der Corput's method for exponential sums

Hong-Quan Liu

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Abstract

We give the best known error term of the $B$-process of van der Corput's method and we extend the class of exponential sums that can be estimated by using exponent pairs coming from the iteration of the $A$ and $B$ processes.

Article information

Source
Funct. Approx. Comment. Math., Volume 60, Number 1 (2019), 7-20.

Dates
First available in Project Euclid: 26 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.facm/1529978424

Digital Object Identifier
doi:10.7169/facm/1610

Mathematical Reviews number (MathSciNet)
MR3932600

Subjects
Primary: 11L07: Estimates on exponential sums

Keywords
analytic number theory exponential sums exponent pairs

Citation

Liu, Hong-Quan. On van der Corput's method for exponential sums. Funct. Approx. Comment. Math. 60 (2019), no. 1, 7--20. doi:10.7169/facm/1610. https://projecteuclid.org/euclid.facm/1529978424


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References

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