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单词 Kloosterman sum
释义

Kloosterman sum

英语百科

Kloosterman sum

In mathematics, a Kloosterman sum is a particular kind of exponential sum. Let a, b, m be natural numbers. Then

Here x* is the inverse of x modulo m. They are named for the Dutch mathematician Hendrik Kloosterman, who introduced them in 1926 when he adapted the Hardy–Littlewood circle method to tackle a problem involving positive definite diagonal quadratic forms in four as opposed to five or more variables, which he had dealt with in his dissertation in 1924.

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更新时间:2025/6/21 7:24:03