On a Waring-Goldbach problem involving squares and cubes

Rok, strany: 2019, 1249 - 1262

Let $R(n)$ denote the number of representations of a natural number $n$ as the sum of two squares and four cubes of primes. In this paper, it is proved that the anticipated asymptotic formula for $R(n)$ fails for at most $O(N^{((1) / (4)) + ε})$ positive integers not exceeding $N$.

ISO 690:

Liu, Y. 2019. On a Waring-Goldbach problem involving squares and cubes. In Mathematica Slovaca, vol. 69, no.6, pp. 1249-1262. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0306

APA:

Liu, Y. (2019). On a Waring-Goldbach problem involving squares and cubes. Mathematica Slovaca, 69(6), 1249-1262. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0306

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava