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Everything about Multiplicative function
Function equal to the product of its values on coprime factors
In number theory, a multiplicative function is an arithmetic function of a positive integer with the property that and whenever and are coprime. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multiplicative functionA 5-minute orientation
- Skim a recent paper: Fractional Multiplicative Bullen-Type Inequalities for Multiplicative Differentiable FunctionsInfluential work since 2022
- Pick up a classic book: Optimal Models and Methods with Fuzzy QuantitiesThe most-reprinted book on the subject
- Read the landmark paper: Approximately isometric and multiplicative transformations on continuous function ringsCited 161 times
- Go sideways: Arithmetic functionA closely related topic
- Go sideways: Dirichlet convolutionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Approximately isometric and multiplicative transformations on continuous function rings
Global minimization of a generalized convex multiplicative function
A multiplicative barrier function method for linear programming
Analytic Multivariate Generating Function for Random Multiplicative Cascade Processes
Consequences of stress: a multiplicative function of health status
Global Maximization of a Generalized Concave Multiplicative Function
Wavefield reconstruction inversion with a multiplicative cost function
Discrete bivariate weighted distributions under multiplicative weight function
🆕 Influential since 2022
Fractional Multiplicative Bullen-Type Inequalities for Multiplicative Differentiable Functions
Gender differences in aggression: A multiplicative function of outward anger expression
Milne and Hermite-Hadamard's type inequalities for strongly multiplicative convex function via multiplicative calculus
Further cryptographic properties of the multiplicative inverse function
Sign changes of the partial sums of a random multiplicative function
📚 Books worth reading
Optimal Models and Methods with Fuzzy QuantitiesBing-Yuan Cao · 2010- 📕Evolution Processes and the Feynman-Kac FormulaBrian Jefferies · 2010
Probability distributions and statisticsPeter W. Zehna · 1970
Distribution of Prime NumbersDimitris Koukoulopoulos · 2019- 📕Tensor categoriesP. I. Etingof, Shlomo Gelaki · 2015
Green functions for ordered and disordered systemsAntonios Gonis · 1992- 📕Équations différentielles, intégrales multiples, fonctions holomorphesJacqueline Lelong-Ferrand · 1974
Kronecker's Jugendtraum and modular functionsS. G. Vlăduț · 1991
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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