Mathematical Sciences Classification System
11Mxx - Zeta and $L$-functions: analytic theory
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11M06$\zeta (s)$ and $L(s, \chi)$
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11M20Real zeros of $L(s, \chi)$; results on $L(1, \chi)$
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11M26Nonreal zeros of $\zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses
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11M32Multiple Dirichlet series and zeta functions and multizeta values
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11M35Hurwitz and Lerch zeta functions
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11M36Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
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11M38Zeta and $L$-functions in characteristic $p$
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11M41
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11M45Tauberian theorems [See also 40E05]
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11M50Relations with random matrices
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11M55Relations with noncommutative geometry
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11M99None of the above, but in this section