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# Difference between revisions of "Dirichlet series/Related Articles"

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Jitse Niesen (Talk | contribs) (add some) |
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==Parent topics== | ==Parent topics== | ||

− | {{r|Series ( | + | {{r|Number theory}} |

+ | {{r|Series (mathematics)|}} | ||

+ | {{r|Arithmetic function}} | ||

==Subtopics== | ==Subtopics== | ||

− | + | {{r|Riemann zeta function}} | |

+ | {{r|Dedekind zeta function}} | ||

==Other related topics== | ==Other related topics== | ||

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{{r|Power series}} | {{r|Power series}} | ||

{{r|Puiseaux series}} | {{r|Puiseaux series}} | ||

+ | {{r|Dirichlet character}} | ||

+ | {{r|Peter Lejeune Dirichlet}} | ||

+ | {{r|Wiener-Ikehara theorem}} | ||

+ | {{r|Möbius function}} | ||

+ | {{r|Tau function}} | ||

+ | {{r|Convolution (mathematics)|Convolution}} |

## Latest revision as of 16:42, 15 June 2009

*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

- Riemann zeta function [r]: Mathematical function of a complex variable important in number theory for its connection with the distribution of prime numbers.
^{[e]} - Dedekind zeta function [r]: Generalization of the Riemann zeta function to algebraic number fields.
^{[e]}

- 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]}