Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Converse theorems: from the Riemann zeta function to the Selberg class   This is an expanded version of the author's lecture at the XX Congresso
U.M.I., held in Siena in September 2015. After a brief review of L-functions,
we turn to the classical converse theorems of H.Hamburger, E.Hecke and A.Weil,
and to some later developments. Finally we present several results on converse
theorems in the framework of the Selberg class of L-functions.

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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph