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Everything about Additive function

Function that can be written as a sum over prime factors

In number theory, an additive function is an arithmetic function ⁠⁠ on the natural numbers such that for all coprime ⁠⁠ and ⁠⁠, It follows that for any additive function,. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Additive functionA 5-minute orientation
  2. Skim a recent paper: A Double-Functional Additive Containing Nucleophilic Groups for High-Performance Zn-Ion BatteriesInfluential work since 2022
  3. Pick up a classic book: Nutraceutical and Functional Food Processing TechnologyThe most-reprinted book on the subject
  4. Read the landmark paper: On the Distribution Function of Additive FunctionsCited 138 times
  5. Go sideways: Liouville functionA closely related topic
  6. Go sideways: Grunsky matrixA closely related topic

📖 Definitions

Noun A unary function that preserves the addition operation; a unary function f such that for any x and y: f(x + y) = f(x) + f(y).

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics