Dirichlet series/Related Articles

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A list of Citizendium articles, and planned articles, about Dirichlet series.
See also changes related to Dirichlet series, or pages that link to Dirichlet series or to this page or whose text contains "Dirichlet series".

Parent topics

  • Number theory [r]: The study of integers and relations between them. [e]
  • Series (mathematics) [r]: A sequence of numbers defined by the partial sums of another infinite sequence. [e]
  • Arithmetic function [r]: A function defined on the set of positive integers, usually with integer, real or complex values, studied in number theory. [e]

Subtopics

Other related topics

  • Fourier series [r]: Infinite series whose terms are constants multiplied by sine and cosine functions and that can approximate a wide variety of periodic functions. [e]
  • Power series [r]: An infinite series whose terms involve successive powers of a variable, typically with real or complex coefficients. [e]
  • Puiseaux series [r]: Add brief definition or description
  • Dirichlet character [r]: A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicative function on the positive integers. [e]
  • Peter Lejeune Dirichlet [r]: Add brief definition or description
  • Wiener-Ikehara theorem [r]: A Tauberian theorem used in number theory to relate the behaviour of a real sequence to the analytic properties of the associated Dirichlet series. [e]
  • Möbius function [r]: Arithmetic function which takes the values -1, 0 or +1 depending on the prime factorisation of its input n. [e]
  • Tau function [r]: An arithmetic function studied by Ramanjuan, the coefficients of the q-series expansion of the modular form Delta. [e]
  • Convolution [r]: A process which combines two functions on a set to produce another function on the set: the value of the product function depends on a range of values of the argument. [e]