The exceptional set of one prime square and five prime cubes
- Resource Type
- Article
- Authors
- Yuhui Liu
- Source
- 대한수학회지, 59(3), pp.439-448 May, 2022
- Subject
- 수학
- Language
- English
- ISSN
- 2234-3008
0304-9914
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 $N$.