Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ternary Goldbach problem with a prime with a missing digit and
  primes of special types   Let $$\gamma^*:=\frac{8}{9}+\frac{2}{3}\:\frac{\log(10/9)}{\log 10}\:(\approx
0.919\ldots)\:,\ \gamma^*<\frac{1}{c_0}\leq 1\:.$$
  Let $\gamma^*<\gamma_0\leq 1$, $c_0=1/\gamma_0$ be fixed. Let also
$a_0\in\{0,1,\ldots, 9\}$. In [23] we proved on assumption of the Generalized
Riemann Hypothesis (GRH), that each sufficiently large odd integer $N_0$ can be
represented in the form $$N_0=p_1+p_2+p_3\:,$$ where for $i=2, 3$ the primes
$p_i$ are Piatetski-Shapiro primes - primes of the form $p_i=[n_i^{c_0}]$,
$n_i\in\mathbb{N}$ - whereas the decimal expansion of $p_1$ does not contain
the digit $a_0$. In this paper we replace one of the Piatetski-Shapiro primes
$p_2$ and $p_3$ by primes of the type $$p=x^2+y^2+1\:.$$

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph