Mathematica 9 is now available
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Mathematica > Mathematics and Algorithms > Number Theory > Analytic Number Theory >
Mathematica > Mathematics and Algorithms > Mathematical Functions > Number Theoretic Functions > Analytic Number Theory >
Built-in Mathematica SymbolSee Also »|More About »

DirichletTransform

DirichletTransform[expr, n, s]
gives the Dirichlet transform of expr with respect to n.
  • The Dirichlet transform for a discrete function f(n) is given by sum_(n=1)^inftyf(n) n^(-s).
  • The following options can be given:
Assumptions$Assumptionsassumptions to make about parameters
GenerateConditionsFalsewhether to generate answers that involve conditions on parameters
MethodAutomaticmethod to use
VerifyConvergenceTruewhether to verify convergence
EXAMPLESCLOSE ALL
Scope   (3)
Periodic functions:
Polynomial functions:
Trigonometric functions:
Options   (1)
Set GenerateConditions to True to get the region of convergence:
New in 7
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team