Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Explicit Formula Relating Stieltjes Constants and Li's Numbers   In this paper we present a new formula relating Stieltjes numbers $\gamma
_{n}$ and Laurent coefficinets $\eta_{n}$ of logarithmic derivative of the
Riemann's zeta function. Using it we derive an explicit formula for the
oscillating part of Li's numbers $\overset{\sim}{\lambda}_{n}$ which are
connected with the Riemann hypothesis.

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
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin