Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-vanishing of the Central Derivative of Canonical Hecke L-functions   In the early 1980s, Rohrlich began a study of canonical Hecke characters,
which are closely related to the simplest examples of CM elliptic curves. He
and Montgomery showed the non-vanishing of the central value when the
L-function has an even functional equation, and we now show the non-vanishing
of the central derivative when the functional equation is odd. Using the
results of Gross-Zagier and Kolyvagin-Logachev, we can apply the non-vanishing
to the ranks and Shafarevitch-Tate groups of the Q-curves "A(p)" studied by
Gross in his thesis. In particular, their rank is determined by a congruence
condition. http://www.math.yale.edu/users/steve/milleryang

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: econ