ConceptLiouville function / λ函数
Liouville Function
A completely multiplicative arithmetic function in number theory, defined as λ(n) = (−1)^Ω(n), where Ω(n) denotes the number of prime factors of n counted with multiplicity. The Liouville function evaluates to −1 for every prime number.
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Sep 26
The Liouville function λ(a) = (-1)^ω(a), where ω(a) denotes the number of prime factors of a counted with multiplicity.
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Sep 26
The weakened proposition asks: can any even number greater than 2 necessarily be written as the sum of two numbers whose Liouville value is -1?
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