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Residue classes containing an unexpected number of primes

✍ Scribed by Fiorilli, Daniel


Book ID
120654162
Publisher
Duke University Press
Year
2012
Tongue
English
Weight
198 KB
Volume
161
Category
Article
ISSN
0012-7094

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For J 3 (n) = p 1 +p 2 +p 3 =n p 1 ≑a 1 (mod q 1 ) log p 1 log p 2 log p 3 , it is shown that for any A and any < 1/2, what improves a work of Tolev; S 3 (n) is the corresponding singular series. A special form of a sieve of Montgomery is used.