- Analytic Number Theory
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- Dirichlet product
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- Von Mangoldt function
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Category Archives: Multiplicative functions
Dirichlet product and multiplicative functions
The Dirichlet product (or Dirichlet convolution) of two arithmetic functions $f$ and $g$ is defined as\[(f * g)(n) = \sum_{d | n} f(d)g(n/d).\] The Dirichlet product arises when multiplying two Dirichlet series, that is, if two Dirichlet series\[\sum_{n = 1}^{\infty} … Continue reading