Dirichlet series/Related Articles: Difference between revisions
Jump to navigation
Jump to search
imported>Chris Day |
imported>Jitse Niesen (add some) |
||
| Line 1: | Line 1: | ||
{{subpages}} | {{subpages}} | ||
==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== | ||
| Line 16: | Line 14: | ||
{{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 11:42, 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]: 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]