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A new two-term exponential sums and its fourth power mean

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Abstract

The main purpose of this paper is using the analytic methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of a new two-term exponential sums, and give an exact calculating formula and a sharp asymptotic formula for it.

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Acknowledgements

The authors would like to thank the referees for their very helpful and detailed comments.

Funding

This work is supported by the N. S. F. (12126357) of P. R. China.

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All authors have equally contributed to this work. All authors read and approved the final manuscript.

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Correspondence to Wang Li.

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Xuexia, W., Li, W. A new two-term exponential sums and its fourth power mean. Rend. Circ. Mat. Palermo, II. Ser 72, 4041–4052 (2023). https://doi.org/10.1007/s12215-023-00879-3

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  • DOI: https://doi.org/10.1007/s12215-023-00879-3

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