Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dilogarithm identities for solutions to Pell's equation in terms of
  continued fraction convergents   In this paper we give describe a new connection between the dilogarithm
function and solutions to Pell's equation $x^2-ny^2 = \pm 1$. For each solution
$x,y$ to Pell's equation we obtain a dilogarithm identity whose terms are given
by the continued fraction expansion of the associated unit $x+y\sqrt{n} \in
\Z[\sqrt{n}]$. We further show that Ramanujan's dilogarithm value-identities
correspond to an identity for the regular ideal hyperbolic hexagon.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th