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Everything about Dirichlet convolution
Mathematical operation on arithmetical functions
In mathematics, Dirichlet convolution is a binary operation defined for arithmetic functions; it is important in number theory. It was developed by Peter Gustav Lejeune Dirichlet. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Dirichlet convolutionA 5-minute orientation
- Skim a recent paper: Dirichlet Graph Convolution Coupled Neural Differential Equation for Spatio-temporal Time Series PredictionInfluential work since 2022
- Pick up a classic book: Mathematical Methods in the Physical SciencesThe most-reprinted book on the subject
- Read the landmark paper: Dirichlet Series and Convolution EquationsCited 17 times
- Go sideways: Bell seriesA closely related topic
- Go sideways: Divisor sum identitiesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Dirichlet Series and Convolution Equations
Convolution Dirichlet Series and a Kronecker Limit Formula for Second-Order Eisenstein Series
Multiplicative functions, Dirichlet convolution, and quantum systems
Nonstandard Dirichlet problems with competing (p,q)-Laplacian, convection, and convolution
Convolution formula for the sums of generalized Dirichlet $L$-functions
SPECIAL VALUES OF SHIFTED CONVOLUTION DIRICHLET SERIES
Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms
Infinite dimensional weak Dirichlet processes and convolution type processes
🆕 Influential since 2022
Dirichlet Graph Convolution Coupled Neural Differential Equation for Spatio-temporal Time Series Prediction
Convolution sums of restricted divisor functions derived from Dirichlet convolution
Quotients of arithmetical functions under the Dirichlet convolution
Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8
High-Order nyström/Convolution-Quadrature solution of time-Domain scattering from closed and open lipschitz boundaries with dirichlet and neumann boundary conditions
📚 Books worth reading
Mathematical Methods in the Physical SciencesMary L. Boas, Mary Layne Boas · 1966
Advances in Hypercomplex AnalysisGraziano Gentili · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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