“Bombieri's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Bombieri's Theorem

释义

Bombieri's Theorem

Define

(1)

where

(2)

(Davenport 1980, p. 121),

is the Mangoldt Function, and

is the Totient Function.Now define

(3)

where the sum is over

Relatively Prime to

, and

(4)

Bombieri's theorem then says that for

fixed,

(5)

provided that

References

Bombieri, E. ``On the Large Sieve.'' Mathematika 12, 201-225, 1965.

Davenport, H. ``Bombieri's Theorem.'' Ch. 28 in Multiplicative Number Theory, 2nd ed. New York: Springer-Verlag, pp. 161-168, 1980.

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