# Dirichlet series/Related Articles

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A list of Citizendium articles, and planned articles, about 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]

## 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]: In mathematics, a series with fractional exponents. [e]
• 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]