Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeros of systems of exponential sums and trigonometric polynomials   Gelfond and Khovanskii found a formula for the sum of the values of a Laurent
polynomial at the zeros of a system of n Laurent polynomials in the complex
n-torus whose Newton polyhedra have generic mutual positions. An exponential
change of variables gives a similar formula for exponential sums with rational
frequencies. We conjecture that this formula holds for exponential sums with
real frequencies. We give an integral formula which proves the existence-part
of the conjectured formula not only in the complex situation but also in a very
general real setting. We also prove the conjectured formula when it gives
answer zero, which happens in most cases.

33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org