Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting Solutions to Discrete Non-Algebraic Equations Modulo Prime
  Powers   As society becomes more reliant on computers, cryptographic security becomes
increasingly important. Current encryption schemes include the ElGamal
signature scheme, which depends on the complexity of the discrete logarithm
problem. It is thought that the functions that such schemes use have inverses
that are computationally intractable. In relation to this, we are interested in
counting the solutions to a generalization of the discrete logarithm problem
modulo a prime power. This is achieved by interpolating to p-adic functions,
and using Hensel's lemma, or other methods in the case of singular lifting, and
the Chinese Remainder Theorem.

30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom