Bombieri's Theorem
Define
 | (1) |
 | (2) |
is the Mangoldt Function, and 
is the Totient Function.Now define | (3) |
Relatively Prime to 
, 
, and | (4) |
fixed, | (5) |
.
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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