11Mxx

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11Mxx Zeta and $L$-functions: analytic theory {Info & Stats}

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• 11M06 $\zeta (s)$ and $L(s, \chi)$
• 11M20 Real zeros of $L(s, \chi)$; results on $L(1, \chi)$
• 11M26 Nonreal zeros of $\zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses
• 11M32 Multiple Dirichlet series and zeta functions and multizeta values
• 11M35 Hurwitz and Lerch zeta functions
• 11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
• 11M38 Zeta and $L$-functions in characteristic $p$
• 11M41 Other Dirichlet series and zeta functions {For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72}
• 11M45 Tauberian theorems [See also 40E05]
• 11M50 Relations with random matrices
• 11M55 Relations with noncommutative geometry
• 11M99 None of the above, but in this section