Dirichlet series/Related Articles
- See also changes related to Dirichlet series, or pages that link to Dirichlet series or to this page or whose text .
- Number theory : The study of integers and relations between them.
- Series (mathematics) : A sequence of numbers defined by the partial sums of another infinite sequence.
- Arithmetic function : A function defined on the set of positive integers, usually with integer, real or complex values, studied in number theory.
- Riemann zeta function : Mathematical function of a complex variable important in number theory for its connection with the distribution of prime numbers.
- Dedekind zeta function : Generalization of the Riemann zeta function to algebraic number fields.
- Fourier series : Infinite series whose terms are constants multiplied by sine and cosine functions and that can approximate a wide variety of periodic functions.
- Power series : An infinite series whose terms involve successive powers of a variable, typically with real or complex coefficients.
- Puiseaux series : Add brief definition or description
- Dirichlet character : A group homomorphism on the multiplicative group in modular arithmetic extended to a multiplicative function on the positive integers.
- Peter Lejeune Dirichlet : Add brief definition or description
- Wiener-Ikehara theorem : A Tauberian theorem used in number theory to relate the behaviour of a real sequence to the analytic properties of the associated Dirichlet series.
- Möbius function : Arithmetic function which takes the values -1, 0 or +1 depending on the prime factorisation of its input n.
- Tau function : An arithmetic function studied by Ramanjuan, the coefficients of the q-series expansion of the modular form Delta.
- Convolution : 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.