arXiv subjects

Geovane Matheus Lemes Andrade

Publications and source records attributed to Geovane Matheus Lemes Andrade.

2 recordsLinked to original sources

arXiv2026

Waring-Goldbach problems for one square and higher powers

We prove that every sufficiently large odd integer can be expressed as a sum of one square and fourteen fifth powers, all of primes. In addition, we establish that every sufficiently large even integer can be written as a sum of one square, one biquadrate, and twelve fifth powers of primes.

math.NT↗

arXiv2025

Representing integers as sums of mixed powers of primes

We establish two new Waring--Goldbach type representations: every sufficiently large odd integer $n$ can be expressed as \[ n = p_1^2 + p_2^2 + p_3^3 + p_4^3 + p_5^5 + p_6^6 + p_7^c, \] where each $p_i$ is prime and $c \in \{6,7\}$.

math.NT↗