Category:Definitions/General Dirichlet Series

From ProofWiki
Jump to navigation Jump to search

This category contains definitions related to General Dirichlet Series.
Related results can be found in Category:General Dirichlet Series.


Let $a_n$ be a sequence in $\C$.

Let $\sequence {\lambda_n}$ be a strictly increasing sequence of non-negative real numbers whose limit is infinity.


A general Dirichlet series of type $\lambda_n$ is a complex function $f: \C \to \C$ defined by the series:

$\ds \map f s = \sum_{n \mathop = 1}^\infty a_n e^{-\lambda_n s}$

Subcategories

This category has only the following subcategory.

Pages in category "Definitions/General Dirichlet Series"

The following 3 pages are in this category, out of 3 total.