Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On questions of Cassels and Drungilas-Dubickas   We answer a question of Drungilas-Dubickas in the affirmative under the
assumption of standard conjectures on smooth numbers in polynomial sequences.
This gives evidence against the "Dubickas Conjecture", which Ka\v{c}inskait\.e
and Laurin\v{c}ikas proved implies universality results for the Hurwitz
zeta-function with certain algebraic irrational parameters.
  Under these standard conjectures we also prove some results that confirms
observations of Worley relating to a problem of Cassels on the multiplicative
dependence of algebraic numbers shifted by integers.

1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci