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单词 Chebyshev function
释义

Chebyshev function

英语百科

Chebyshev function

The Chebyshev function ψ(x), with x < 50
The function ψ(x) − x, for x < 10,000
The function ψ(x) − x, for x < 10 million
The difference of the smoothed Chebyshev function and x2/2 
for x < 106

In mathematics, the Chebyshev function is either of two related functions. The first Chebyshev function ϑ(x) or θ(x) is given by

with the sum extending over all prime numbers p that are less than or equal to x.

The second Chebyshev function ψ(x) is defined similarly, with the sum extending over all prime powers not exceeding x:

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更新时间:2025/6/19 4:21:22