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Mathematical Sciences Classification System

11Mxx - Zeta and $L$-functions: analytic theory

• 15
  11M06
  $\zeta (s)$ and $L(s, \chi)$
• 2
  11M20
  Real zeros of $L(s, \chi)$; results on $L(1, \chi)$
• 11
  11M26
  Nonreal zeros of $\zeta (s)$ and $L(s, \chi)$; Riemann and other hypotheses
• 4
  11M32
  Multiple Dirichlet series and zeta functions and multizeta values
• 1
  11M35
  Hurwitz and Lerch zeta functions
• 10
  11M36
  Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
• 3
  11M38
  Zeta and $L$-functions in characteristic $p$
• 2
  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}
• 1
  11M45
  Tauberian theorems [See also 40E05]
• 1
  11M50
  Relations with random matrices
• 11M55
  Relations with noncommutative geometry
• 11M99
  None of the above, but in this section