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Everything about Prime omega function
Number of prime factors of a natural number
In number theory, the prime omega functions and count the number of prime factors of a natural number. The number of distinct prime factors is assigned to, while counts the total number of prime factors with multiplicity. That is, if we have a prime factorization of of the form for distinct primes, then the prime omega functions are given by and. These prime-factor-counting functions have many important number theoretic relations. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Prime omega functionA 5-minute orientation
- Pick up a classic book: Discrete MathmaticsThe most-reprinted book on the subject
- Read the landmark paper: The Number Theoretic Omega Function and Summations Involving the Exponents of Prime Numbers in the Factorization of FactorialsCited 1 times
- Go sideways: Arithmetic functionA closely related topic
- Go sideways: Dirichlet seriesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
📚 Books worth reading
Discrete MathmaticsR. K. Bisht, H. S. Dhami · 2015
Waldara AnswersWilliam Swygard · 1974
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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