Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Congruence between Duke-Imamoglu-Ikeda lifts and non-Duke-Imamoglu-Ikeda
  lifts   Let k and n be positive even integers. For a cuspidal Hecke eigenform g in
the Kohnen plus subspace of weight k-n/2+1/2 and level 4, let I(g) be the
Duke-Imamoglu-Ikeda lift of g in the space of cusp forms of weight k for
Sp(n,Z), and f the primitive form of weight 2k-n for SL(2,Z) corresponding to g
under the Shimura correspondence. We then characterize prime ideals giving
congruence between I(g) and another cuspidal Hecke eigenform not coming from
the Duke-Imamoglu-Ikeda lift in terms of the specilal values of the Hecke
L-function and the adjoint L-function of f.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph