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On the number of primes less than a given limit

✍ Scribed by Jan Bohman

Publisher
Springer Netherlands
Year
1972
Tongue
English
Weight
88 KB
Volume
12
Category
Article
ISSN
0006-3835

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On the number of representations in the ternary Goldbach problem with one prime number in a given residue class
✍ Karin Halupczok πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 128 KB

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.