Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refinements of the trace formula for GL(2)   We express the discrete noncuspidal terms in the spectral side of the trace
formula for GL(2) in terms of orbital integrals, obtaining a geometric
expansion for the cuspidal part of the trace formula. Assuming the Ramanujan
conjecture for GL(2), this is equal to the tempered part of the trace formula,
providing an alternate approach to the method of Frenkel-Langlands-Ngo in the
context of Beyond Endoscopy. Using this, we establish a formula which in
principle leads to an $r$-trace formula, and conclude with some remarks
regarding the primitivization of the trace formula.

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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys