Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The arithmetic Kuznetsov formula on $GL(3)$, II: The general case   We obtain the last of the standard Kuznetsov formulas for $SL(3,\Bbb{Z})$. In
the previous paper, we were able to exploit the relationship between the
positive-sign Bessel function and the Whittaker function to apply Wallach's
Whittaker expansion; now we demonstrate the expansion of functions into Bessel
functions for all four signs, generalizing Wallach's theorem for $SL(3)$. As
applications, we again consider the Kloosterman zeta functions and smooth sums
of Kloosterman sums. The new Kloosterman zeta functions pose the same
difficulties as we saw with the positive-sign case, but for the negative-sign
case, we obtain some analytic continuation of the unweighted zeta function and
give a sort of reflection formula that exactly demonstrates the obstruction
when the moduli are far apart. The completion of the remaining sign cases means
this work now both supersedes the author's thesis and completes the work
started in the original paper of Bump, Friedberg and Goldfeld.

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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph