Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a construction of $C^1(\mathbb{Z}_p)$ functionals from
  $\mathbb{Z}_p$-extensions of algebraic number fields   Let $k$ be any number field and $k_{\infty}/k$ any $\mathbb{Z}_p$-extension.
We construct a natural $\Lambda= \mathbb{Z}_p[[ T-1 ]]$-morphism from
$\varprojlim k_n^{\times} \otimes_{\mathbb{Z}} \mathbb{Z}_p$ into a special
subset of $C^1(\mathbb{Z}_p)^*$, the collection of linear functionals on the
set of continuously differentiable functions from $\mathbb{Z}_p \to
\mathbb{C}_p$. We apply the results to the problem of interpolating Gauss sums
attached to Dirichlet characters and the explicit annihilation of real ideal
classes.

35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga