Completely multiplicative function
In number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. A weaker condition is also important, respecting only products of coprime numbers, and such functions are called multiplicative functions. Outside of number theory, the term "multiplicative function" is often taken to be synonymous with "completely multiplicative function" as defined in this article.
- Comment
- enIn number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. A weaker condition is also important, respecting only products of coprime numbers, and such functions are called multiplicative functions. Outside of number theory, the term "multiplicative function" is often taken to be synonymous with "completely multiplicative function" as defined in this article.
- Has abstract
- enIn number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. A weaker condition is also important, respecting only products of coprime numbers, and such functions are called multiplicative functions. Outside of number theory, the term "multiplicative function" is often taken to be synonymous with "completely multiplicative function" as defined in this article.
- Is primary topic of
- Completely multiplicative function
- Label
- enCompletely multiplicative function
- Link from a Wikipage to another Wikipage
- Arithmetic function
- Category:Multiplicative functions
- Coprime
- Dirichlet character
- Dirichlet convolution
- Dirichlet inverse
- Dirichlet L-function
- Dirichlet product
- Dirichlet series
- Divisor function
- Domain of a function
- Fundamental theorem of arithmetic
- Hadamard product (matrices)
- Homomorphism
- Jacobi symbol
- Legendre symbol
- Liouville function
- Möbius function
- Monoid
- Monomial
- Multiplicative function
- Natural number
- Number theory
- Positive integer
- SameAs
- 4i6BP
- Completely multiplicative function
- Fonction complètement multiplicative
- Função completamente multiplicativa
- Hàm nhân tính hoàn toàn
- m.03qc8bv
- Q5156533
- دالة جدائية بصفة كاملة
- Subject
- Category:Multiplicative functions
- WasDerivedFrom
- Completely multiplicative function?oldid=1055165009&ns=0
- WikiPageLength
- 4779
- Wikipage page ID
- 1055940
- Wikipage revision ID
- 1055165009