Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the p-adic Beilinson conjecture for number fields   We formulate a conjectural p-adic analogue of Borel's theorem relating
regulators for higher K-groups of number fields to special values of the
corresponding zeta-functions, using syntomic regulators and p-adic L-functions.
We also formulate a corresponding conjecture for Artin motives, and state a
conjecture about the precise relation between the p-adic and classical
situations. Parts of he conjectures are proved when the number field (or Artin
motive) is Abelian over the rationals, and all conjectures are verified
numerically in some other cases.

11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio