[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j190679

THE EXCEPTIONAL SET OF ONE PRIME SQUARE AND FIVE PRIME CUBES

Liu, Yuhui (School of Science Jiangnan University)

Publication Information

Journal of the Korean Mathematical Society / v.59, no.3, 2022 , pp. 439-448 More about this Journal

Abstract

For a natural number n, let R(n) denote the number of representations of n as the sum of one square and five cubes of primes. In this paper, it is proved that the anticipated asymptotic formula for R(n) fails for at most $O(N^{{\frac{4}{9}+{\varepsilon}})$ positive integers not exceeding N.

Keywords

Waring-Goldbach problem; exceptional set; Hardy-Littlewood method;

Citations & Related Records

Reference

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