Expansion and Improvement of Sieve and Application in Goldbach’s Problem
نویسنده
چکیده
The modern sieve method began from Brun’s fundamental work in 1915. This remained the dominant work until 1941 when Ju. V. Linnik expanded on the sieve method. In 1947, A. Selberg advanced the sieve method by using his upper bound sieve. His sieve weights, are fundamentally different from Brun’s thus he brought a structural change into the sieve method. The linear sieve was developed by Rosser in 1950 and Jurkat and Richert in 1965; so far this is the best method of the linear sieve.
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